Details

analyze296.0ms (8.8%)

Algorithm

1×

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify1.0s (30%)

Algorithm

1×	egg-herbie

Rules

678×	`exp-prod_binary64_4563`
595×	`swap-sqr_binary64_4478`
550×	`associate-/l*_binary64_4456`
437×	`distribute-rgt-neg-in_binary64_4469`
221×	`distribute-rgt-out_binary64_4464`
211×	`associate-l_binary64_4452`
182×	`sub-neg_binary64_4504`
177×	`distribute-rgt-out--_binary64_4465` `associate-r_binary64_4451`
168×	`distribute-rgt1-in_binary64_4467`
144×	`distribute-lft-out_binary64_4462`
136×	`distribute-lft-neg-in_binary64_4468`
132×	`distribute-lft-out--_binary64_4463`
112×	`cancel-sign-sub-inv_binary64_4477`
82×	`unsub-neg_binary64_4505`
67×	`distribute-rgt-neg-out_binary64_4471`
50×	`distribute-rgt-in_binary64_4461`
43×	`distribute-lft-neg-out_binary64_4470`
34×	`neg-sub0_binary64_4506` `distribute-neg-in_binary64_4472`
31×	`neg-mul-1_binary64_4507` `distribute-lft-in_binary64_4460`
23×	`sqr-pow_binary64_4483`
20×	`distribute-lft1-in_binary64_4466` `associate--r+_binary64_4447`
18×	`*-rgt-identity_binary64_4501`
16×	`distribute-neg-out_binary64_4473`
15×	`exp-sum_binary64_4557`
14×	`+-commutative_binary64_4441`
13×	`pow-plus_binary64_4574` `*-lft-identity_binary64_4500`
12×	`mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `+-inverses_binary64_4490` `associate-+l-_binary64_4446` `associate-+r+_binary64_4443` `*-commutative_binary64_4442`
10×	`exp-diff_binary64_4559` `associate-+r-_binary64_4445` `associate-+l+_binary64_4444`
9×	`difference-of-squares_binary64_4480`
8×	`count-2_binary64_4459`
7×	`remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `pow-sqr_binary64_4484`
5×	`+-rgt-identity_binary64_4496` `unswap-sqr_binary64_4479` `associate--l+_binary64_4448`
4×	`exp-lft-sqr_binary64_4566` `cube-unmult_binary64_4548` `div-sub_binary64_4516` `--rgt-identity_binary64_4497`
3×	`pow-base-1_binary64_4571` `cube-prod_binary64_4539` `+-lft-identity_binary64_4495` `difference-of-sqr-1_binary64_4481`
1×	`prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `mul-1-neg_binary64_4503` `div0_binary64_4492` `distribute-frac-neg_binary64_4474` `associate--r-_binary64_4450`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-pow_binary64_4600` `log-rec_binary64_4599` `log-div_binary64_4598` `log-prod_binary64_4597` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow3_binary64_4577` `unpow2_binary64_4576` `unpow1/2_binary64_4575` `exp-to-pow_binary64_4573` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `div-exp_binary64_4562` `rec-exp_binary64_4561` `exp-neg_binary64_4558` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-mult_binary64_4541` `cube-div_binary64_4540` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `times-frac_binary64_4517` `/-rgt-identity_binary64_4502` `-inverses_binary64_4491` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `difference-of-sqr--1_binary64_4482` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `associate--l-_binary64_4449`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	46	10
4	74	10
5	123	10
6	271	10
7	1591	10

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

Counts

3 → 2

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (+.f64 y z))

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
5×	`add-cube-cbrt_binary64_4546`
4×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `associate-r_binary64_4451`
3×	`associate-l_binary64_4452` `cancel-sign-sub-inv_binary64_4477`
2×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `associate-*r/_binary64_4453` `associate--l+_binary64_4448`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `flip3-+_binary64_4514` `flip-+_binary64_4485` `distribute-lft-out_binary64_4462` `*-commutative_binary64_4442` `diff-log_binary64_4603` `flip3--_binary64_4515` `sub-neg_binary64_4504` `flip--_binary64_4486`

Counts

2 → 39

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
6.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 529 to 154 computations (70.9% saved)

series336.0ms (9.9%)

Error

Counts

2 → 33

Calls

2 calls:

188.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
131.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 606 to 344 computations (43.2% saved)

simplify123.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

511×	`unswap-sqr_binary64_4479`
378×	`distribute-rgt-in_binary64_4461`
376×	`distribute-lft-in_binary64_4460`
284×	`*-commutative_binary64_4442`
243×	`unsub-neg_binary64_4505`
180×	`sub-neg_binary64_4504`
179×	`times-frac_binary64_4517`
157×	`sqr-pow_binary64_4483` `+-commutative_binary64_4441`
133×	`distribute-neg-out_binary64_4473`
128×	`neg-mul-1_binary64_4507`
126×	`neg-sub0_binary64_4506`
120×	`exp-prod_binary64_4563`
104×	`exp-sum_binary64_4557`
97×	`cancel-sign-sub-inv_binary64_4477`
96×	`associate-+r+_binary64_4443`
93×	`associate--l+_binary64_4448` `associate-+l+_binary64_4444`
87×	`difference-of-squares_binary64_4480`
78×	`pow-sqr_binary64_4484`
68×	`associate-l_binary64_4452`
58×	`distribute-lft-neg-out_binary64_4470`
57×	`distribute-rgt-neg-out_binary64_4471` `associate-r_binary64_4451`
56×	`associate--r+_binary64_4447`
55×	`distribute-rgt-out_binary64_4464`
47×	`*-rgt-identity_binary64_4501`
45×	`*-lft-identity_binary64_4500`
41×	`exp-diff_binary64_4559`
38×	`cancel-sign-sub_binary64_4476`
35×	`swap-sqr_binary64_4478`
29×	`distribute-rgt-neg-in_binary64_4469`
27×	`associate-+l-_binary64_4446`
26×	`associate-+r-_binary64_4445`
24×	`distribute-lft-neg-in_binary64_4468`
23×	`cube-prod_binary64_4539`
22×	`distribute-neg-in_binary64_4472`
21×	`+-rgt-identity_binary64_4496`
20×	`log-prod_binary64_4597` `sub0-neg_binary64_4498`
15×	`div-sub_binary64_4516`
14×	`associate-/l*_binary64_4456`
13×	`exp-to-pow_binary64_4573`
12×	`sqr-neg_binary64_4525` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `distribute-rgt-out--_binary64_4465`
10×	`exp-neg_binary64_4558`
8×	`unpow3_binary64_4577` `distribute-frac-neg_binary64_4474`
5×	`log-pow_binary64_4600` `pow-plus_binary64_4574` `cube-unmult_binary64_4548` `remove-double-neg_binary64_4499` `distribute-lft-out_binary64_4462` `associate-/l/_binary64_4458`
4×	`div-exp_binary64_4562` `cube-mult_binary64_4541`
3×	`pow-base-1_binary64_4571` `mul-1-neg_binary64_4503` `--rgt-identity_binary64_4497` `distribute-rgt1-in_binary64_4467` `associate-*r/_binary64_4453`
2×	`cube-neg_binary64_4538` `rem-sqrt-square_binary64_4524` `/-rgt-identity_binary64_4502` `distribute-lft1-in_binary64_4466` `associate--r-_binary64_4450`
1×	`prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-log-exp_binary64_4552` `rem-3cbrt-lft_binary64_4536` `rem-square-sqrt_binary64_4523` `+-lft-identity_binary64_4495` `-inverses_binary64_4491` `rgt-mult-inverse_binary64_4488` `count-2_binary64_4459` `associate-/r/_binary64_4457` `associate-/r_binary64_4455` `associate-*l/_binary64_4454`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-rec_binary64_4599` `log-div_binary64_4598` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `rec-exp_binary64_4561` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-exp-log_binary64_4551` `cube-div_binary64_4540` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `div0_binary64_4492` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `remove-double-div_binary64_4487` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `distribute-neg-frac_binary64_4475` `distribute-lft-out--_binary64_4463` `associate--l-_binary64_4449`

Counts

72 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	682
1	216	661
2	636	655
3	2075	655
4	2742	655

prune55.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Error

Counts

79 → 2

Compiler

Compiled 1059 to 204 computations (80.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 1) z)
0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_4533`
7×	`-un-lft-identity_binary64_4511` `associate-l*_binary64_4452`
4×	`add-log-exp_binary64_4550` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546`
3×	`associate-r_binary64_4451`
2×	`associate-*l/_binary64_4454` `difference-of-squares_binary64_4480`
1×	`sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-sqr-1_binary64_4481` `distribute-lft-out--_binary64_4463` `*-commutative_binary64_4442`

Counts

2 → 35

Calls

2 calls:

6.0ms	(*.f64 (-.f64 x 1) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 586 to 323 computations (44.9% saved)

series311.0ms (9.2%)

Error

Counts

2 → 27

Calls

2 calls:

209.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
88.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 525 to 317 computations (39.6% saved)

simplify192.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-+l+_binary64_4444`
386×	`associate-+r+_binary64_4443`
328×	`associate-l_binary64_4452`
239×	`distribute-rgt-neg-out_binary64_4471`
231×	`associate-r_binary64_4451`
201×	`distribute-rgt-in_binary64_4461`
196×	`distribute-lft-neg-out_binary64_4470`
181×	`distribute-lft-in_binary64_4460`
136×	`distribute-rgt-out_binary64_4464`
127×	`cancel-sign-sub-inv_binary64_4477`
117×	`unswap-sqr_binary64_4479`
110×	`+-commutative_binary64_4441`
98×	`associate--r+_binary64_4447`
97×	`distribute-rgt-neg-in_binary64_4469`
84×	`distribute-neg-in_binary64_4472`
82×	`*-commutative_binary64_4442`
81×	`unsub-neg_binary64_4505`
78×	`sub-neg_binary64_4504`
73×	`sqr-pow_binary64_4483`
72×	`associate--l+_binary64_4448`
69×	`distribute-lft-neg-in_binary64_4468`
68×	`associate-+r-_binary64_4445`
52×	`associate-+l-_binary64_4446`
47×	`pow-sqr_binary64_4484`
45×	`distribute-lft-out_binary64_4462`
42×	`exp-prod_binary64_4563`
41×	`neg-sub0_binary64_4506`
30×	`neg-mul-1_binary64_4507`
29×	`*-rgt-identity_binary64_4501`
25×	`*-lft-identity_binary64_4500` `distribute-rgt-out--_binary64_4465`
23×	`exp-sum_binary64_4557`
22×	`cube-prod_binary64_4539`
21×	`log-prod_binary64_4597`
19×	`associate--r-_binary64_4450`
18×	`associate-/l*_binary64_4456`
15×	`exp-diff_binary64_4559`
14×	`log-pow_binary64_4600` `pow-plus_binary64_4574` `mul-1-neg_binary64_4503`
13×	`+-rgt-identity_binary64_4496`
12×	`difference-of-squares_binary64_4480`
10×	`swap-sqr_binary64_4478`
9×	`associate--l-_binary64_4449`
8×	`sub0-neg_binary64_4498`
7×	`unpow3_binary64_4577`
6×	`pow-base-1_binary64_4571` `associate-/l/_binary64_4458` `associate-*r/_binary64_4453`
5×	`prod-exp_binary64_4560` `cube-unmult_binary64_4548` `cube-mult_binary64_4541` `div-sub_binary64_4516`
4×	`remove-double-neg_binary64_4499` `distribute-frac-neg_binary64_4474` `distribute-lft-out--_binary64_4463`
3×	`cube-neg_binary64_4538` `sqr-neg_binary64_4525` `difference-of-sqr-1_binary64_4481` `distribute-neg-out_binary64_4473`
2×	`rem-sqrt-square_binary64_4524` `associate-*l/_binary64_4454`
1×	`exp-neg_binary64_4558` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-log-exp_binary64_4552` `difference-of-sqr--1_binary64_4482` `distribute-rgt1-in_binary64_4467` `count-2_binary64_4459`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-rec_binary64_4599` `log-div_binary64_4598` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow2_binary64_4576` `unpow1/2_binary64_4575` `exp-to-pow_binary64_4573` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `div-exp_binary64_4562` `rec-exp_binary64_4561` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-exp-log_binary64_4551` `cube-div_binary64_4540` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `rem-square-sqrt_binary64_4523` `times-frac_binary64_4517` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-lft1-in_binary64_4466` `associate-/r/_binary64_4457` `associate-/r_binary64_4455`

Counts

62 → 169

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	683
1	209	656
2	639	626
3	1783	617

prune153.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Error

Counts

171 → 2

Compiler

Compiled 3206 to 1292 computations (59.7% saved)

regimes90.0ms (2.7%)

Accuracy

Total 0.0b remaining (63.7%)

Threshold costs 0.0b (63.7%)

Compiler

Compiled 332 to 358 computations (-7.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_4441`
2×	`sub-neg_binary64_4504` `*-commutative_binary64_4442`
1×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
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_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `unpow1_binary64_4569` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `unsub-neg_binary64_4505` `mul-1-neg_binary64_4503` `/-rgt-identity_binary64_4502` `-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-lft-identity_binary64_4495` `cancel-sign-sub-inv_binary64_4477` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469` `distribute-lft-neg-in_binary64_4468`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10

Proof

(- f64 (* f64 h0 (+ f64 h1 h2)) h2)

end0.0ms (0%)

sample685.0ms (20.3%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
17.0ms	667×	body	128	invalid

Compiler

Compiled 94 to 99 computations (-5.3% saved)

Details

analyze296.0ms (8.8%)

sample17.0ms (0.5%)

simplify1.0s (30%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite44.0ms (1.3%)

series336.0ms (9.9%)

simplify123.0ms (3.7%)

prune55.0ms (1.6%)

localize6.0ms (0.2%)

rewrite45.0ms (1.3%)

series311.0ms (9.2%)

simplify192.0ms (5.7%)

prune153.0ms (4.5%)

regimes90.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample685.0ms (20.3%)

Profiling