Details

analyze1.1s (12%)

Algorithm

1×	search
2×	egg-herbie

Rules

892×	`times-frac_binary64`
518×	`div-sub_binary64`
490×	`unsub-neg_binary64`
323×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
317×	`sub-neg_binary64`
226×	`distribute-rgt-neg-out_binary64`
196×	`associate-+l+_binary64`
184×	`associate-+r+_binary64`
171×	`*-commutative_binary64`
149×	`cancel-sign-sub-inv_binary64`
144×	`distribute-neg-in_binary64`
133×	`neg-sub0_binary64`
118×	`distribute-frac-neg_binary64`
112×	`associate-r_binary64`
109×	`associate-l_binary64`
103×	`neg-mul-1_binary64`
99×	`+-commutative_binary64`
75×	`distribute-neg-out_binary64`
64×	`associate-/r/_binary64`
55×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
46×	`associate-*l/_binary64`
39×	`associate-+l-_binary64` `associate-+r-_binary64`
38×	`div0_binary64`
34×	`mul0-rgt_binary64` `mul0-lft_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`associate--r+_binary64`
25×	`sub0-neg_binary64`
22×	`associate-/l_binary64` `associate-r/_binary64`
21×	`distribute-lft-neg-in_binary64`
15×	`mul-1-neg_binary64`
14×	`associate--r-_binary64`
13×	`remove-double-neg_binary64`
5×	`+-rgt-identity_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	120	209
2	362	209
3	1023	209
4	2813	209
5	4331	209
6	5278	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	211×	body	128	valid
2.0ms	46×	body	128	invalid
1.0ms	14×	body	512	valid
1.0ms	10×	body	1024	valid
1.0ms	19×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

833×	`unsub-neg_binary64`
751×	`sub-neg_binary64`
696×	`div-sub_binary64`
618×	`neg-mul-1_binary64`
588×	`neg-sub0_binary64`
555×	`associate-/l*_binary64`
378×	`distribute-frac-neg_binary64`
362×	`distribute-neg-out_binary64`
359×	`distribute-neg-in_binary64`
353×	`distribute-rgt-in_binary64`
246×	`distribute-lft-in_binary64`
240×	`distribute-neg-frac_binary64`
182×	`distribute-rgt-neg-out_binary64`
138×	`distribute-rgt-neg-in_binary64`
135×	`remove-double-neg_binary64`
130×	`associate--r+_binary64` `associate-+l+_binary64`
122×	`associate-+r+_binary64`
114×	`distribute-lft-neg-out_binary64`
108×	`distribute-lft-neg-in_binary64`
104×	`associate-+l-_binary64`
102×	`cancel-sign-sub-inv_binary64`
81×	`associate--l+_binary64`
67×	`associate-/r/_binary64`
62×	`distribute-rgt-out_binary64` `+-commutative_binary64`
60×	`times-frac_binary64`
52×	`associate-r_binary64`
51×	`distribute-rgt-out--_binary64`
47×	`distribute-lft-out_binary64`
46×	`*-commutative_binary64`
45×	`associate-l_binary64`
44×	`associate-/l/_binary64`
36×	`associate-/r*_binary64`
35×	`sub0-neg_binary64`
32×	`/-rgt-identity_binary64`
31×	`associate-+r-_binary64`
30×	`mul0-rgt_binary64`
29×	`div0_binary64`
28×	`mul0-lft_binary64`
26×	`associate-*l/_binary64`
24×	`distribute-lft-out--_binary64`
22×	`+-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
17×	`associate-*r/_binary64`
11×	`associate--r-_binary64`
9×	`remove-double-div_binary64`
8×	`associate--l-_binary64`
7×	`mul-1-neg_binary64`
5×	`distribute-lft1-in_binary64`
4×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
2×	`--rgt-identity_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	19
3	136	19
4	377	19
5	844	19
6	2019	19
7	3826	19
8	3908	19
9	4613	19
10	4936	19

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

21.7b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
4.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
13.3b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite135.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

11.5b

Rules

19×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`frac-times_binary64` `associate-/l/_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

3 → 85

Calls

3 calls:

14.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 1882 to 429 computations (77.2% saved)

series498.0ms (5.5%)

Error

0.8b

Counts

3 → 106

Calls

3 calls:

206.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
153.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
47.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 7607 to 4320 computations (43.2% saved)

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

379×	`associate-+l+_binary64`
258×	`associate--l+_binary64`
230×	`associate--r+_binary64`
229×	`associate-/l*_binary64`
195×	`times-frac_binary64`
170×	`distribute-rgt-in_binary64`
165×	`associate-l_binary64`
164×	`sub-neg_binary64`
162×	`+-commutative_binary64`
160×	`distribute-lft-in_binary64`
151×	`associate-r_binary64`
120×	`associate-+r+_binary64`
93×	`associate-/r_binary64` `-commutative_binary64`
66×	`distribute-neg-in_binary64`
65×	`associate-/r/_binary64`
56×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
47×	`associate-*l/_binary64`
42×	`div-sub_binary64`
36×	`associate-*r/_binary64`
31×	`associate-/l/_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`distribute-neg-frac_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`sqr-pow_binary64`
17×	`distribute-lft-neg-in_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`unpow3_binary64`
7×	`difference-of-squares_binary64`
6×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-div_binary64` `cube-div_binary64`
4×	`exp-prod_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_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` `div-exp_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` `-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_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` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

191 → 145

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	481	7256
1	1394	7007
2	5122	7007

prune103.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	8	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Error

0.6b

Counts

146 → 8

Compiler

Compiled 3316 to 874 computations (73.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
5.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.0b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite129.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

78×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
23×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 119

Calls

3 calls:

18.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2307 to 458 computations (80.1% saved)

series517.0ms (5.7%)

Error

0.6b

Counts

3 → 115

Calls

3 calls:

208.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
154.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
78.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 8501 to 4891 computations (42.5% saved)

simplify152.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-+l+_binary64`
294×	`associate--l+_binary64`
275×	`associate--r+_binary64`
246×	`associate-/l*_binary64`
216×	`times-frac_binary64`
188×	`sub-neg_binary64`
181×	`+-commutative_binary64`
166×	`associate-l_binary64`
156×	`associate-r_binary64`
130×	`associate-+r+_binary64`
115×	`associate-/r*_binary64`
112×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
93×	`*-commutative_binary64`
82×	`distribute-neg-in_binary64`
72×	`associate-*r/_binary64`
69×	`associate-/r/_binary64`
55×	`neg-sub0_binary64`
49×	`div-sub_binary64` `associate-*l/_binary64`
47×	`neg-mul-1_binary64`
43×	`associate-/l/_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`sqr-pow_binary64`
18×	`distribute-neg-frac_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`mul-1-neg_binary64`
7×	`unpow3_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-mult_binary64` `difference-of-squares_binary64`
4×	`exp-prod_binary64` `cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
3×	`log-div_binary64` `log-prod_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-sum_binary64` `cube-div_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `*-rgt-identity_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` `div-exp_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

234 → 147

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	531	8665
1	1500	8398
2	5357	8398

prune72.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	145	10	155

Error

0.6b

Counts

155 → 10

Compiler

Compiled 3183 to 860 computations (73% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
6.0b	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
8.8b	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))

rewrite148.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

82×	`frac-times_binary64`
76×	`cbrt-div_binary64`
56×	`flip3--_binary64` `flip--_binary64`
38×	`associate-*l/_binary64`
32×	`associate-*r/_binary64`
22×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow1_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`prod-exp_binary64` `cbrt-unprod_binary64`
10×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `pow-prod-down_binary64`
5×	`associate-l_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `pow1/3_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

29.0ms	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
4.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 4915 to 902 computations (81.6% saved)

series538.0ms (5.9%)

Error

0.6b

Counts

4 → 98

Calls

4 calls:

241.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))
171.0ms	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
29.0ms	(cbrt.f64 (-.f64 t x))
25.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 8397 to 4843 computations (42.3% saved)

simplify228.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

454×	`associate-r_binary64`
435×	`associate-l_binary64`
264×	`associate--l+_binary64`
205×	`associate-/l*_binary64`
184×	`*-commutative_binary64`
167×	`+-commutative_binary64`
162×	`times-frac_binary64`
157×	`sub-neg_binary64`
156×	`distribute-rgt-in_binary64`
150×	`distribute-lft-in_binary64`
125×	`associate-+r+_binary64`
82×	`associate-/r*_binary64`
64×	`distribute-neg-in_binary64`
62×	`div-sub_binary64`
57×	`associate-*r/_binary64`
55×	`neg-sub0_binary64`
53×	`associate-/r/_binary64`
46×	`neg-mul-1_binary64`
43×	`associate-*l/_binary64`
36×	`associate--r+_binary64`
34×	`sqr-pow_binary64`
27×	`distribute-rgt-neg-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
22×	`exp-prod_binary64`
21×	`distribute-lft-neg-in_binary64`
20×	`cube-prod_binary64`
19×	`log-prod_binary64` `distribute-neg-frac_binary64`
15×	`mul-1-neg_binary64`
12×	`unpow3_binary64`
10×	`exp-sum_binary64`
9×	`cube-mult_binary64`
7×	`log-div_binary64` `cube-unmult_binary64` `distribute-lft-neg-out_binary64`
6×	`swap-sqr_binary64`
5×	`unpow1/3_binary64` `cube-div_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64`
4×	`exp-diff_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `count-2_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` `pow-base-0_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` `div-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

219 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	598	9817
1	1603	9599
2	4831	9498
3	5019	9498

prune113.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	177	10	187

Error

0.6b

Counts

187 → 10

Compiler

Compiled 4825 to 1171 computations (75.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 t x) (-.f64 y z))
4.2b	(+.f64 x (/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z)))
13.3b	(/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z))

rewrite113.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

19×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`frac-times_binary64` `associate-/l/_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z))
10.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z)))
10.0ms	(*.f64 (-.f64 t x) (-.f64 y z))

Compiler

Compiled 2038 to 585 computations (71.3% saved)

series505.0ms (5.6%)

Error

0.6b

Counts

3 → 106

Calls

3 calls:

211.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z)))
164.0ms	(/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z))
50.0ms	(*.f64 (-.f64 t x) (-.f64 y z))

Compiler

Compiled 7997 to 4710 computations (41.1% saved)

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

379×	`associate-+l+_binary64`
258×	`associate--l+_binary64`
238×	`associate-/l*_binary64`
230×	`associate--r+_binary64`
195×	`times-frac_binary64`
171×	`distribute-rgt-in_binary64`
165×	`associate-l_binary64`
164×	`sub-neg_binary64`
162×	`+-commutative_binary64`
161×	`distribute-lft-in_binary64`
152×	`associate-r_binary64`
120×	`associate-+r+_binary64`
92×	`*-commutative_binary64`
90×	`associate-/r*_binary64`
66×	`distribute-neg-in_binary64`
63×	`associate-/r/_binary64`
56×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
47×	`div-sub_binary64` `associate-*l/_binary64`
37×	`associate-*r/_binary64`
36×	`associate-/l/_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`distribute-neg-frac_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`sqr-pow_binary64`
18×	`distribute-lft-neg-in_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`unpow3_binary64`
7×	`difference-of-squares_binary64`
6×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-div_binary64` `cube-div_binary64`
4×	`exp-prod_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64`
1×	`prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_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` `div-exp_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` `-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_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` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

191 → 164

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	7250
1	1394	7001
2	5152	7001

prune92.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	164	10	174

Error

0.6b

Counts

174 → 10

Compiler

Compiled 3459 to 964 computations (72.1% saved)

regimes3.1s (33.9%)

Accuracy

Total 6.4b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 23258 to 16003 computations (31.2% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
17×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64`
1×	`if-if-or-not_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_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	142
1	62	142
2	77	142
3	93	142
4	115	142
5	127	142
6	135	142
7	138	142
8	138	142

end1.0ms (0%)

Compiler: Compiled 93 to 39 computations (58.1% saved)

sample1.1s (12.3%)

Algorithm

1×

intervals

Results

280.0ms	6714×	body	128	valid
57.0ms	494×	body	512	valid
47.0ms	336×	body	1024	valid
45.0ms	1212×	body	128	invalid
30.0ms	388×	body	256	valid
12.0ms	68×	body	2048	valid

Compiler

Compiled 325 to 225 computations (30.8% saved)

Details

analyze1.1s (12%)

sample29.0ms (0.3%)

simplify92.0ms (1%)

prune1.0ms (0%)

localize15.0ms (0.2%)

rewrite135.0ms (1.5%)

series498.0ms (5.5%)

simplify128.0ms (1.4%)

prune103.0ms (1.1%)

localize9.0ms (0.1%)

rewrite129.0ms (1.4%)

series517.0ms (5.7%)

simplify152.0ms (1.7%)

prune72.0ms (0.8%)

localize16.0ms (0.2%)

rewrite148.0ms (1.6%)

series538.0ms (5.9%)

simplify228.0ms (2.5%)

prune113.0ms (1.2%)

localize11.0ms (0.1%)

rewrite113.0ms (1.2%)

series505.0ms (5.6%)

simplify128.0ms (1.4%)

prune92.0ms (1%)

regimes3.1s (33.9%)

bsearch7.0ms (0.1%)

simplify10.0ms (0.1%)

end1.0ms (0%)

sample1.1s (12.3%)

Profiling