Details

analyze2.2s (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

910×	`times-frac_binary64`
344×	`associate-+l+_binary64`
332×	`distribute-lft-out_binary64`
296×	`associate-l_binary64`
280×	`associate-r_binary64`
278×	`associate-+r+_binary64`
248×	`distribute-rgt-out_binary64`
236×	`distribute-lft-in_binary64`
234×	`distribute-rgt-in_binary64`
218×	`associate-/l*_binary64`
148×	`*-commutative_binary64`
108×	`+-commutative_binary64`
80×	`div-sub_binary64`
78×	`sub-neg_binary64`
70×	`associate-*r/_binary64`
66×	`associate-*l/_binary64`
58×	`associate-/r/_binary64`
52×	`distribute-lft-neg-out_binary64`
50×	`distribute-rgt-neg-out_binary64`
48×	`unsub-neg_binary64`
44×	`*-rgt-identity_binary64`
40×	`*-lft-identity_binary64`
32×	`neg-sub0_binary64`
28×	`cancel-sign-sub-inv_binary64`
24×	`neg-mul-1_binary64` `associate-/l/_binary64`
16×	`associate-+l-_binary64` `associate-+r-_binary64`
12×	`swap-sqr_binary64`
10×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `associate--l+_binary64`
8×	`cube-prod_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
6×	`sub0-neg_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
4×	`sqr-pow_binary64`
2×	`cube-unmult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	380
1	204	374
2	695	356
3	3107	314
4	4768	314
5	5931	314
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

Compiler

Compiled 128 to 81 computations (36.7% saved)

sample135.0ms (0.5%)

Algorithm

1×

intervals

Results

55.0ms	227×	body	128	valid
40.0ms	178×	body	128	invalid
9.0ms	13×	body	512	valid
7.0ms	8×	body	1024	valid
4.0ms	8×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

797×	`distribute-rgt-in_binary64`
779×	`distribute-lft-in_binary64`
269×	`times-frac_binary64`
172×	`associate-+l+_binary64`
168×	`distribute-lft-out_binary64`
148×	`associate-l_binary64`
140×	`associate-r_binary64`
139×	`associate-+r+_binary64`
126×	`distribute-rgt-out_binary64`
75×	`*-commutative_binary64`
54×	`+-commutative_binary64`
40×	`div-sub_binary64` `sub-neg_binary64`
35×	`associate-*r/_binary64`
33×	`associate-*l/_binary64`
29×	`associate-/l*_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`distribute-rgt-neg-out_binary64`
22×	`unsub-neg_binary64` `*-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
17×	`neg-sub0_binary64`
14×	`cancel-sign-sub-inv_binary64`
13×	`neg-mul-1_binary64`
8×	`associate-+l-_binary64` `associate-+r-_binary64`
6×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
5×	`distribute-neg-frac_binary64` `associate--l+_binary64`
4×	`cube-prod_binary64` `+-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64`
3×	`sub0-neg_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
2×	`sqr-neg_binary64` `sqr-pow_binary64`
1×	`1-exp_binary64` `cube-unmult_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	190
1	112	187
2	359	178
3	1580	157
4	4846	157
5	5174	157

prune13.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.4b

Counts

2 → 2

Compiler

Compiled 337 to 210 computations (37.7% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
2.9b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
3.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite872.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64`
23×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-*l/_binary64`
6×	`pow1_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
2×	`sum-log_binary64` `+-commutative_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-/r/_binary64` `associate-+r+_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-sub_binary64` `associate--l-_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

66.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
41.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
40.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
25.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Compiler

Compiled 23090 to 13469 computations (41.7% saved)

series1.7s (5.9%)

Error

0.2b

Counts

4 → 79

Calls

4 calls:

760.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
362.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
263.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
98.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Compiler

Compiled 18561 to 13608 computations (26.7% saved)

simplify413.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

801×	`distribute-rgt-in_binary64`
295×	`+-commutative_binary64`
258×	`*-commutative_binary64`
216×	`sub-neg_binary64`
180×	`associate-+r+_binary64`
172×	`cancel-sign-sub-inv_binary64`
93×	`distribute-neg-in_binary64`
81×	`associate-r_binary64`
75×	`associate-*r/_binary64`
74×	`times-frac_binary64`
67×	`distribute-rgt-neg-in_binary64`
63×	`associate-l_binary64`
62×	`neg-mul-1_binary64`
60×	`neg-sub0_binary64`
57×	`distribute-lft-in_binary64`
50×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
41×	`associate--r+_binary64`
40×	`associate--l+_binary64`
29×	`cube-prod_binary64`
28×	`distribute-rgt-out_binary64`
26×	`associate-*l/_binary64`
24×	`swap-sqr_binary64` `associate-/l*_binary64`
21×	`unpow3_binary64`
17×	`cube-mult_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`exp-prod_binary64`
10×	`div-sub_binary64` `unswap-sqr_binary64`
9×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
8×	`exp-sum_binary64`
7×	`cube-div_binary64`
6×	`associate-/r*_binary64` `associate-+r-_binary64`
5×	`*-lft-identity_binary64` `difference-of-squares_binary64`
4×	`unpow2_binary64`
3×	`log-div_binary64` `log-prod_binary64` `unpow1_binary64` `distribute-neg-frac_binary64`
2×	`prod-exp_binary64` `difference-of-sqr-1_binary64`
1×	`exp-lft-cube_binary64` `div-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64`

Counts

195 → 180

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	835	31035
1	2801	30204
2	5506	30204

prune747.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	170	10	180
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	172	10	182

Error

0.1b

Counts

182 → 10

Compiler

Compiled 26889 to 15569 computations (42.1% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (*.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (*.f64 x1 x1) 1)) 3))))
2.9b	(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
3.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite772.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
16×	`add-sqr-sqrt_binary64` `frac-times_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`associate-*l/_binary64`
7×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64`
2×	`distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `times-frac_binary64` `div-sub_binary64` `associate--l-_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

44.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (*.f64 x1 x1) -6)) x1)))
18.0ms	(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)
15.0ms	(.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (*.f64 x1 x1) 1)) 3))))

Compiler

Compiled 21190 to 12120 computations (42.8% saved)

series1.7s (5.8%)

Error

0.1b

Counts

4 → 79

Calls

4 calls:

766.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (*.f64 x1 x1) -6)) x1)))
363.0ms	(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
180.0ms	(.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (*.f64 x1 x1) 1)) 3))))
88.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Compiler

Compiled 18617 to 13493 computations (27.5% saved)

simplify399.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

833×	`distribute-rgt-in_binary64`
320×	`+-commutative_binary64`
256×	`*-commutative_binary64`
219×	`sub-neg_binary64`
199×	`associate-+r+_binary64`
184×	`cancel-sign-sub-inv_binary64`
103×	`distribute-neg-in_binary64`
82×	`associate-r_binary64`
77×	`associate-*r/_binary64`
72×	`distribute-rgt-neg-in_binary64`
69×	`neg-mul-1_binary64`
67×	`neg-sub0_binary64`
62×	`times-frac_binary64`
61×	`associate-l_binary64`
55×	`distribute-lft-neg-in_binary64`
53×	`sqr-pow_binary64`
46×	`distribute-lft-in_binary64`
43×	`associate--l+_binary64` `associate--r+_binary64`
30×	`cube-prod_binary64` `distribute-rgt-out_binary64`
27×	`swap-sqr_binary64`
23×	`unpow3_binary64`
22×	`associate-/l*_binary64`
20×	`cube-mult_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`exp-prod_binary64`
11×	`exp-sum_binary64`
9×	`distribute-rgt-out--_binary64`
7×	`cube-div_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64`
6×	`div-sub_binary64` `associate-*l/_binary64` `associate-+r-_binary64`
5×	`distribute-neg-frac_binary64`
4×	`unpow2_binary64`
3×	`log-prod_binary64` `unpow1_binary64` `*-lft-identity_binary64`
2×	`prod-exp_binary64` `exp-diff_binary64` `cube-unmult_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `associate-+l+_binary64`
1×	`exp-lft-cube_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

177 → 162

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	848	29761
1	2778	28831
2	5691	28831

prune823.0ms (2.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	163	9	172

Error

0.1b

Counts

172 → 9

Compiler

Compiled 25658 to 14789 computations (42.4% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.2b	(.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (*.f64 x1 x1) 1)) 3))))
2.9b	(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
3.6b	(-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite512.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`difference-of-squares_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `times-frac_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `div-sub_binary64` `associate--l-_binary64` `sum-log_binary64` `+-commutative_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 76

Calls

4 calls:

21.0ms	(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
19.0ms	(-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
16.0ms	(.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (*.f64 x1 x1) 1)) 3))))
6.0ms	(.f64 (.f64 x1 x1) -6)

Compiler

Compiled 10004 to 5616 computations (43.9% saved)

series897.0ms (3.1%)

Error

0.1b

Counts

4 → 61

Calls

4 calls:

366.0ms	(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 x1 x1) -6))
182.0ms	(.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (*.f64 x1 x1) 1)) 3))))
87.0ms	(-.f64 (/.f64 (+.f64 (.f64 2 x2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
17.0ms	(.f64 (.f64 x1 x1) -6)

Compiler

Compiled 14894 to 9854 computations (33.8% saved)

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-l_binary64`
372×	`associate-r_binary64`
258×	`associate-+l+_binary64`
202×	`associate--l+_binary64`
192×	`associate--r+_binary64`
188×	`distribute-rgt-in_binary64`
175×	`distribute-lft-in_binary64`
148×	`+-commutative_binary64`
147×	`sub-neg_binary64`
128×	`associate-/l*_binary64`
122×	`*-commutative_binary64`
117×	`cancel-sign-sub-inv_binary64`
85×	`associate-+r+_binary64`
64×	`distribute-neg-in_binary64` `associate-*r/_binary64`
47×	`neg-mul-1_binary64`
45×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
40×	`associate-*l/_binary64`
39×	`times-frac_binary64` `associate-/r*_binary64`
36×	`sqr-pow_binary64`
35×	`distribute-lft-neg-in_binary64`
21×	`cube-prod_binary64` `swap-sqr_binary64`
16×	`unpow3_binary64`
12×	`cube-mult_binary64`
11×	`exp-prod_binary64` `distribute-rgt-out_binary64`
10×	`log-prod_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64`
8×	`unswap-sqr_binary64`
6×	`associate-+r-_binary64`
5×	`cube-div_binary64` `distribute-rgt-out--_binary64`
4×	`unpow2_binary64` `exp-sum_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
3×	`unpow1_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
2×	`cube-unmult_binary64` `div-sub_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`

Counts

137 → 107

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	8653
1	1411	8014
2	5142	8014

prune443.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Error

0.1b

Counts

116 → 9

Compiler

Compiled 11436 to 6540 computations (42.8% saved)

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))
2.9b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
3.1b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))
3.6b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite1.2s (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

91×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64` `times-frac_binary64`
36×	`associate-l_binary64`
30×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`frac-times_binary64`
15×	`difference-of-squares_binary64` `flip3-+_binary64` `flip-+_binary64`
14×	`distribute-lft-out--_binary64`
12×	`associate-*r/_binary64`
11×	`sum-cubes_binary64` `cube-mult_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-/r*_binary64`
5×	`associate-l/_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64` `associate-+l+_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `div-sub_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `associate--l-_binary64` `associate-r_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 167

Calls

4 calls:

38.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))
38.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
25.0ms	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))
23.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)

Compiler

Compiled 21716 to 13157 computations (39.4% saved)

series2.5s (8.6%)

Error

0.1b

Counts

4 → 73

Calls

4 calls:

1.3s	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
656.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))
98.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 2 x2) (.f64 3 (.f64 x1 x1))) x1) (+.f64 (.f64 x1 x1) 1)) 3)
86.0ms	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))

Compiler

Compiled 28007 to 20528 computations (26.7% saved)

simplify325.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64`
372×	`+-commutative_binary64`
294×	`associate-+r+_binary64`
219×	`*-commutative_binary64`
199×	`times-frac_binary64`
185×	`sub-neg_binary64`
122×	`cancel-sign-sub-inv_binary64`
96×	`associate-*r/_binary64`
75×	`distribute-neg-in_binary64`
72×	`associate-r_binary64`
55×	`distribute-rgt-neg-in_binary64`
54×	`neg-mul-1_binary64`
52×	`neg-sub0_binary64`
48×	`distribute-rgt-out_binary64`
41×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64` `associate-/r*_binary64`
38×	`associate-/l*_binary64`
37×	`associate--l+_binary64`
35×	`associate-*l/_binary64`
31×	`associate--r+_binary64`
29×	`div-sub_binary64`
28×	`cube-prod_binary64`
26×	`distribute-lft-in_binary64`
25×	`associate-l_binary64`
23×	`swap-sqr_binary64`
17×	`unpow3_binary64` `unswap-sqr_binary64`
14×	`distribute-lft-out_binary64`
13×	`cube-mult_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`exp-prod_binary64`
7×	`*-rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
5×	`cube-div_binary64` `distribute-neg-frac_binary64`
4×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
3×	`log-div_binary64` `log-prod_binary64` `*-lft-identity_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--l-_binary64`

Counts

240 → 222

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	913	23114
1	2834	22280
2	5123	22280

prune1.3s (4.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	222	9	231

Error

0.1b

Counts

231 → 9

Compiler

Compiled 24940 to 15546 computations (37.7% saved)

regimes7.0s (24%)

Accuracy

Total 0.4b remaining (75.7%)

Threshold costs 0.4b (75.7%)

Compiler

Compiled 227764 to 141157 computations (38% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
16×	`*-commutative_binary64`
8×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	157
1	78	157
2	91	157
3	97	157
4	101	157
5	102	157
6	99	157

end2.0ms (0%)

Compiler: Compiled 105 to 64 computations (39% saved)

sample4.7s (16.2%)

Algorithm

1×

intervals

Results

1.6s	7066×	body	128	valid
1.3s	5729×	body	128	invalid
277.0ms	399×	body	512	valid
266.0ms	284×	body	1024	valid
116.0ms	251×	body	256	valid

Compiler

Compiled 1696 to 1032 computations (39.2% saved)

Details

analyze2.2s (7.6%)

sample135.0ms (0.5%)

simplify54.0ms (0.2%)

prune13.0ms (0%)

localize40.0ms (0.1%)

rewrite872.0ms (3%)

series1.7s (5.9%)

simplify413.0ms (1.4%)

prune747.0ms (2.6%)

localize46.0ms (0.2%)

rewrite772.0ms (2.6%)

series1.7s (5.8%)

simplify399.0ms (1.4%)

prune823.0ms (2.8%)

localize42.0ms (0.1%)

rewrite512.0ms (1.7%)

series897.0ms (3.1%)

simplify134.0ms (0.5%)

prune443.0ms (1.5%)

localize58.0ms (0.2%)

rewrite1.2s (4.3%)

series2.5s (8.6%)

simplify325.0ms (1.1%)

prune1.3s (4.6%)

regimes7.0s (24%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end2.0ms (0%)

sample4.7s (16.2%)

Profiling