Details

analyze2.1s (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)

sample141.0ms (0.5%)

Algorithm

1×

intervals

Results

47.0ms	208×	body	128	invalid
47.0ms	219×	body	128	valid
11.0ms	13×	body	1024	valid
9.0ms	15×	body	512	valid
4.0ms	9×	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

prune10.0ms (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

0.5b

Counts

2 → 2

Compiler

Compiled 337 to 210 computations (37.7% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
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)))
1.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.0b	(+.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))

rewrite506.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

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

Counts

4 → 96

Calls

4 calls:

44.0ms	(.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)))
41.0ms	(+.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))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.0ms	(.f64 (.f64 x1 x1) -6)

Compiler

Compiled 11599 to 6845 computations (41% saved)

series931.0ms (3.3%)

Error

0.4b

Counts

4 → 63

Calls

4 calls:

371.0ms	(+.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))
264.0ms	(.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)))
89.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
16.0ms	(.f64 (.f64 x1 x1) -6)

Compiler

Compiled 14344 to 10010 computations (30.2% saved)

simplify222.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-r_binary64`
385×	`associate-l_binary64`
217×	`associate--r+_binary64`
201×	`associate--l+_binary64`
177×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`
155×	`sub-neg_binary64`
138×	`associate-/l*_binary64`
136×	`+-commutative_binary64`
127×	`*-commutative_binary64`
113×	`associate-l/_binary64` `associate-r/_binary64`
102×	`cancel-sign-sub-inv_binary64`
75×	`associate-+r+_binary64`
57×	`distribute-neg-in_binary64`
47×	`times-frac_binary64` `associate-/r*_binary64`
39×	`neg-mul-1_binary64`
38×	`distribute-rgt-neg-in_binary64`
37×	`neg-sub0_binary64`
30×	`sqr-pow_binary64`
29×	`distribute-lft-neg-in_binary64`
28×	`log-prod_binary64`
18×	`cube-prod_binary64`
16×	`swap-sqr_binary64`
13×	`unswap-sqr_binary64`
12×	`unpow3_binary64` `distribute-rgt-out_binary64`
11×	`exp-prod_binary64`
9×	`associate-/r/_binary64`
8×	`distribute-lft-neg-out_binary64`
7×	`log-div_binary64` `cube-mult_binary64` `div-sub_binary64` `*-rgt-identity_binary64`
6×	`distribute-lft-out_binary64`
5×	`count-2_binary64`
4×	`unpow2_binary64` `cube-div_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1_binary64` `*-lft-identity_binary64` `associate-+r-_binary64`
2×	`log-pow_binary64` `exp-sum_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_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-rec_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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

159 → 137

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	10241
1	1477	9761
2	4973	9761
3	4927	9761

prune539.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Error

0.4b

Counts

139 → 9

Compiler

Compiled 13707 to 8083 computations (41% saved)

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) (*.f64 x1 x1))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (*.f64 x1 x1) -1)))
1.8b	(-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
3.0b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (.f64 x1 x1) -1))) (.f64 (*.f64 x1 x1) -6))

rewrite1.3s (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

120×	`pow1_binary64`
36×	`pow-prod-up_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
27×	`associate-l_binary64`
26×	`pow-prod-down_binary64`
25×	`*-un-lft-identity_binary64`
22×	`pow-sqr_binary64`
21×	`times-frac_binary64`
18×	`pow-plus_binary64`
16×	`frac-times_binary64`
15×	`add-cube-cbrt_binary64`
14×	`prod-exp_binary64` `cbrt-unprod_binary64`
13×	`flip3-+_binary64` `flip-+_binary64` `pow2_binary64`
12×	`associate-*r/_binary64`
11×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
5×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
4×	`associate-+l+_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-r_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `associate-+r-_binary64` `div-sub_binary64` `associate--l-_binary64` `div-inv_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`

Counts

4 → 162

Calls

4 calls:

37.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (*.f64 x1 x1) -1)))
34.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.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 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
10.0ms	(.f64 (.f64 x1 x1) (*.f64 x1 x1))

Compiler

Compiled 18548 to 10561 computations (43.1% saved)

series1.7s (6.1%)

Error

0.4b

Counts

4 → 63

Calls

4 calls:

796.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (.f64 x1 x1) -1))) (.f64 (*.f64 x1 x1) -6))
446.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (-.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 1 1))) (.f64 (+.f64 (.f64 x1 (.f64 x1 4)) (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (+.f64 (*.f64 x1 x1) -1)))
92.0ms	(-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 3 (.f64 x1 x1)) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
16.0ms	(.f64 (.f64 x1 x1) (*.f64 x1 x1))

Compiler

Compiled 20560 to 14861 computations (27.7% saved)

simplify250.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

460×	`distribute-rgt-in_binary64`
441×	`distribute-lft-in_binary64`
271×	`+-commutative_binary64`
245×	`times-frac_binary64`
204×	`associate-+r+_binary64`
193×	`*-commutative_binary64`
177×	`sub-neg_binary64`
111×	`cancel-sign-sub-inv_binary64`
84×	`associate-r_binary64`
76×	`distribute-neg-in_binary64`
72×	`associate-*r/_binary64`
49×	`neg-mul-1_binary64` `neg-sub0_binary64`
47×	`distribute-rgt-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
40×	`distribute-rgt-out_binary64`
35×	`associate-l/_binary64` `associate-l*_binary64`
34×	`sqr-pow_binary64` `associate--r+_binary64`
33×	`associate--l+_binary64`
25×	`associate-/r*_binary64`
23×	`unswap-sqr_binary64` `swap-sqr_binary64` `associate-/l*_binary64`
18×	`cube-prod_binary64`
16×	`div-sub_binary64`
14×	`unpow3_binary64`
13×	`log-prod_binary64` `exp-prod_binary64`
10×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
8×	`mul-1-neg_binary64`
7×	`cube-unmult_binary64`
4×	`cube-div_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate-+r-_binary64`
3×	`unsub-neg_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
2×	`log-div_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `*-rgt-identity_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
1×	`log-pow_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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-rec_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` `/-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

225 → 194

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	16482
1	2287	15851
2	5237	15851

prune932.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	194	9	203

Error

0.4b

Counts

203 → 9

Compiler

Compiled 19414 to 11853 computations (38.9% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
2.9b	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
5.7b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
5.8b	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))

rewrite1.0s (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

Counts

4 → 130

Calls

4 calls:

40.0ms	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
24.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
20.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
19.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

Compiler

Compiled 19783 to 12132 computations (38.7% saved)

series925.0ms (3.3%)

Error

0.4b

Counts

4 → 68

Calls

4 calls:

365.0ms	(+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6)))
107.0ms	(.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))
98.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
70.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

Compiler

Compiled 16746 to 11193 computations (33.2% saved)

simplify211.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

291×	`distribute-rgt-in_binary64`
280×	`distribute-lft-in_binary64`
196×	`associate-+l+_binary64`
179×	`*-commutative_binary64`
177×	`associate-/l*_binary64`
169×	`associate--r+_binary64`
157×	`associate-*r/_binary64`
156×	`associate--l+_binary64`
145×	`sub-neg_binary64`
133×	`+-commutative_binary64`
94×	`associate-*l/_binary64`
92×	`associate-l_binary64`
88×	`cancel-sign-sub-inv_binary64`
70×	`times-frac_binary64`
63×	`associate-/r*_binary64`
59×	`distribute-neg-in_binary64`
57×	`associate-r_binary64`
51×	`associate-+r+_binary64`
43×	`neg-mul-1_binary64`
39×	`neg-sub0_binary64`
30×	`sqr-pow_binary64`
29×	`distribute-rgt-neg-in_binary64`
23×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
22×	`exp-prod_binary64`
19×	`associate-/l/_binary64`
16×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
15×	`log-prod_binary64` `unswap-sqr_binary64`
14×	`distribute-rgt-neg-out_binary64`
12×	`associate-/r/_binary64`
11×	`unpow3_binary64`
8×	`associate-+r-_binary64`
7×	`cube-mult_binary64` `distribute-rgt-out_binary64`
5×	`*-rgt-identity_binary64`
4×	`unpow2_binary64` `cube-unmult_binary64` `cube-div_binary64` `div-sub_binary64` `associate-+l-_binary64`
3×	`unpow1_binary64` `/-rgt-identity_binary64`
2×	`log-div_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64`
1×	`pow-plus_binary64` `exp-lft-cube_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_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` `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-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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

198 → 185

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	13427
1	1716	12812
2	4970	12812

prune752.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	186	8	194

Error

0.3b

Counts

194 → 8

Compiler

Compiled 19931 to 11881 computations (40.4% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
3.0b	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
5.7b	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (*.f64 x1 x1) 1))))
5.7b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

rewrite910.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

46×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
25×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
22×	`-un-lft-identity_binary64` `associate-r*_binary64`
16×	`times-frac_binary64`
14×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64`
3×	`associate-*r/_binary64` `sum-log_binary64` `cancel-sign-sub-inv_binary64`
2×	`associate-l_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `*-commutative_binary64` `distribute-lft-neg-out_binary64`
1×	`div-inv_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `+-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate-+r-_binary64` `div-sub_binary64` `associate--l-_binary64`

Counts

4 → 105

Calls

4 calls:

43.0ms	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
23.0ms	(-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
19.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (*.f64 x1 x1) 1))))
19.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

Compiler

Compiled 15156 to 8894 computations (41.3% saved)

series962.0ms (3.4%)

Error

0.3b

Counts

4 → 68

Calls

4 calls:

377.0ms	(+.f64 (+.f64 (.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 2 (.f64 x1 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)))) (-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (*.f64 x1 x1)))
99.0ms	(-.f64 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (.f64 x1 x1) 1)) 3)
97.0ms	(.f64 (.f64 x1 x1) (.f64 4 (/.f64 (+.f64 (.f64 x2 2) (-.f64 (.f64 (.f64 x1 x1) 3) x1)) (+.f64 (*.f64 x1 x1) 1))))
73.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

Compiler

Compiled 17374 to 11451 computations (34.1% saved)

simplify238.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-l_binary64`
480×	`associate-r_binary64`
167×	`associate-/l*_binary64`
156×	`associate-*r/_binary64`
154×	`associate--l+_binary64`
153×	`associate--r+_binary64`
138×	`sub-neg_binary64`
128×	`*-commutative_binary64`
124×	`distribute-rgt-in_binary64`
119×	`distribute-lft-in_binary64`
103×	`+-commutative_binary64`
95×	`cancel-sign-sub-inv_binary64`
78×	`exp-prod_binary64`
73×	`log-prod_binary64`
69×	`times-frac_binary64` `associate-*l/_binary64`
58×	`associate-/r*_binary64`
48×	`distribute-neg-in_binary64`
46×	`associate-+r+_binary64`
38×	`neg-mul-1_binary64`
34×	`neg-sub0_binary64`
29×	`sqr-pow_binary64`
27×	`distribute-rgt-neg-in_binary64`
23×	`distribute-lft-neg-in_binary64`
22×	`log-div_binary64` `swap-sqr_binary64`
19×	`associate-/l/_binary64`
13×	`unpow3_binary64` `unswap-sqr_binary64`
12×	`associate-/r/_binary64`
9×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
7×	`prod-exp_binary64` `cube-unmult_binary64` `cube-prod_binary64`
6×	`cube-mult_binary64` `associate-+r-_binary64`
5×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `div-sub_binary64` `*-rgt-identity_binary64`
3×	`exp-diff_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
2×	`pow-plus_binary64` `exp-lft-sqr_binary64` `exp-sum_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64`
1×	`div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `count-2_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_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` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

173 → 158

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	485	9311
1	1349	8096
2	4802	8096
3	4996	8096
4	4902	8096

prune759.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	157	9	166

Error

0.3b

Counts

166 → 9

Compiler

Compiled 14187 to 8256 computations (41.8% saved)

regimes8.9s (31.6%)

Accuracy

Total 0.1b remaining (18.6%)

Threshold costs 0.1b (18.6%)

Compiler

Compiled 277832 to 175001 computations (37% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64` `+-commutative_binary64`
7×	`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	36	157
1	70	157
2	82	157
3	88	157
4	92	157
5	93	157
6	90	157

end2.0ms (0%)

Compiler: Compiled 105 to 66 computations (37.1% saved)

sample4.6s (16.3%)

Algorithm

1×

intervals

Results

1.5s	7047×	body	128	valid
1.3s	6049×	body	128	invalid
271.0ms	309×	body	1024	valid
236.0ms	369×	body	512	valid
118.0ms	275×	body	256	valid

Compiler

Compiled 1692 to 1047 computations (38.1% saved)

Details

analyze2.1s (7.6%)

sample141.0ms (0.5%)

simplify54.0ms (0.2%)

prune10.0ms (0%)

localize46.0ms (0.2%)

rewrite506.0ms (1.8%)

series931.0ms (3.3%)

simplify222.0ms (0.8%)

prune539.0ms (1.9%)

localize57.0ms (0.2%)

rewrite1.3s (4.5%)

series1.7s (6.1%)

simplify250.0ms (0.9%)

prune932.0ms (3.3%)

localize43.0ms (0.2%)

rewrite1.0s (3.6%)

series925.0ms (3.3%)

simplify211.0ms (0.7%)

prune752.0ms (2.7%)

localize53.0ms (0.2%)

rewrite910.0ms (3.2%)

series962.0ms (3.4%)

simplify238.0ms (0.8%)

prune759.0ms (2.7%)

regimes8.9s (31.6%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end2.0ms (0%)

sample4.6s (16.3%)

Profiling