Details

analyze413.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

8×	`*-commutative_binary64_4442`
4×	`+-commutative_binary64_4441`
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` `pow-plus_binary64_4574` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `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` `exp-prod_binary64_4563` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-unmult_binary64_4548` `cube-mult_binary64_4541` `cube-div_binary64_4540` `cube-prod_binary64_4539` `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` `div-sub_binary64_4516` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `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` `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` `pow-sqr_binary64_4484` `sqr-pow_binary64_4483` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479` `swap-sqr_binary64_4478` `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` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465` `distribute-rgt-out_binary64_4464` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `count-2_binary64_4459` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `associate-/l_binary64_4456` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `associate-l_binary64_4452` `associate-r*_binary64_4451` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445` `associate-+l+_binary64_4444` `associate-+r+_binary64_4443`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	34	56
0	3	3
1	3	3

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	72×	body	1024	valid
9.0ms	142×	body	128	valid
5.0ms	29×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_4442`
1×	`+-commutative_binary64_4441`
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` `pow-plus_binary64_4574` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `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` `exp-prod_binary64_4563` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-unmult_binary64_4548` `cube-mult_binary64_4541` `cube-div_binary64_4540` `cube-prod_binary64_4539` `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` `div-sub_binary64_4516` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `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` `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` `pow-sqr_binary64_4484` `sqr-pow_binary64_4483` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479` `swap-sqr_binary64_4478` `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` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465` `distribute-rgt-out_binary64_4464` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `count-2_binary64_4459` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `associate-/l_binary64_4456` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `associate-l_binary64_4452` `associate-r*_binary64_4451` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445` `associate-+l+_binary64_4444` `associate-+r+_binary64_4443`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

prune2.0ms (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

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 x (sin.f64 y))
0.1b	(*.f64 z (cos.f64 y))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_4533`
7×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
6×	`associate-l_binary64_4452` `associate-r_binary64_4451`
5×	`add-log-exp_binary64_4550`
2×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442`
1×	`sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

3 → 47

Calls

3 calls:

5.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
5.0ms	(*.f64 z (cos.f64 y))
4.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 730 to 175 computations (76% saved)

series545.0ms (8.9%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

322.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
105.0ms	(*.f64 z (cos.f64 y))
97.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 804 to 514 computations (36.1% saved)

simplify120.0ms (2%)

Algorithm

1×	egg-herbie

Rules

482×	`neg-mul-1_binary64_4507`
381×	`sub-neg_binary64_4504`
334×	`distribute-rgt-neg-in_binary64_4469`
326×	`cancel-sign-sub-inv_binary64_4477`
274×	`*-commutative_binary64_4442`
228×	`distribute-lft-neg-in_binary64_4468`
215×	`+-commutative_binary64_4441`
194×	`unswap-sqr_binary64_4479`
183×	`distribute-lft-neg-out_binary64_4470`
180×	`distribute-rgt-in_binary64_4461`
164×	`distribute-rgt-neg-out_binary64_4471` `distribute-rgt-out_binary64_4464`
161×	`distribute-lft-in_binary64_4460`
149×	`associate-+l+_binary64_4444`
143×	`sqr-pow_binary64_4483`
141×	`unsub-neg_binary64_4505`
132×	`associate-+r+_binary64_4443`
129×	`distribute-neg-in_binary64_4472`
126×	`neg-sub0_binary64_4506`
112×	`associate-l_binary64_4452`
111×	`associate-+l-_binary64_4446`
102×	`associate-r_binary64_4451`
96×	`associate--r+_binary64_4447`
68×	`associate-+r-_binary64_4445`
59×	`distribute-neg-out_binary64_4473`
58×	`distribute-rgt-out--_binary64_4465` `associate--l+_binary64_4448`
55×	`distribute-lft-out_binary64_4462`
53×	`sub0-neg_binary64_4498`
47×	`cube-prod_binary64_4539` `pow-sqr_binary64_4484`
44×	`exp-prod_binary64_4563`
38×	`div-sub_binary64_4516`
36×	`remove-double-neg_binary64_4499` `+-rgt-identity_binary64_4496`
34×	`log-prod_binary64_4597` `distribute-lft-out--_binary64_4463`
31×	`associate--r-_binary64_4450`
26×	`swap-sqr_binary64_4478` `associate--l-_binary64_4449`
23×	`rem-sqrt-square_binary64_4524`
21×	`*-lft-identity_binary64_4500`
20×	`*-rgt-identity_binary64_4501`
18×	`associate-/l*_binary64_4456`
16×	`exp-sum_binary64_4557`
15×	`exp-diff_binary64_4559` `sqr-neg_binary64_4525`
14×	`unpow3_binary64_4577` `associate-/l/_binary64_4458`
13×	`mul0-rgt_binary64_4494`
12×	`mul0-lft_binary64_4493`
11×	`cube-neg_binary64_4538` `cancel-sign-sub_binary64_4476`
9×	`cube-unmult_binary64_4548`
8×	`unpow1/2_binary64_4575` `associate-*r/_binary64_4453`
7×	`--rgt-identity_binary64_4497` `distribute-frac-neg_binary64_4474`
4×	`difference-of-squares_binary64_4480` `distribute-rgt1-in_binary64_4467` `associate-/r/_binary64_4457` `associate-/r*_binary64_4455`
3×	`exp-neg_binary64_4558` `cube-mult_binary64_4541` `count-2_binary64_4459`
2×	`/-rgt-identity_binary64_4502` `distribute-neg-frac_binary64_4475` `associate-*l/_binary64_4454`
1×	`cos-neg_binary64_4642` `sin-neg_binary64_4641` `unpow2_binary64_4576` `pow-plus_binary64_4574` `unpow1_binary64_4569` `prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `+-lft-identity_binary64_4495` `distribute-lft1-in_binary64_4466`
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` `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` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `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-log-exp_binary64_4552` `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` `mul-1-neg_binary64_4503` `div0_binary64_4492` `*-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481`

Counts

80 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	918
1	263	889
2	750	877
3	1375	874
4	2698	874
5	3732	874
6	4755	874
7	5086	874

prune39.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	7	34

Error

0.0b

Counts

34 → 7

Compiler

Compiled 613 to 215 computations (64.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite97.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series507.0ms (8.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

144.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
126.0ms	(cbrt.f64 x)
114.0ms	(cbrt.f64 x)
113.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_4597`
416×	`sqr-pow_binary64_4483`
335×	`associate-l_binary64_4452`
309×	`*-commutative_binary64_4442`
277×	`distribute-rgt-neg-in_binary64_4469`
257×	`distribute-lft-neg-in_binary64_4468`
227×	`associate-r_binary64_4451`
188×	`exp-prod_binary64_4563`
161×	`log-pow_binary64_4600`
149×	`cube-prod_binary64_4539`
128×	`pow-sqr_binary64_4484`
124×	`unswap-sqr_binary64_4479`
111×	`swap-sqr_binary64_4478`
104×	`associate-/l*_binary64_4456`
81×	`cancel-sign-sub-inv_binary64_4477`
75×	`associate-+l+_binary64_4444`
69×	`associate-+r+_binary64_4443`
61×	`distribute-rgt-in_binary64_4461`
60×	`distribute-lft-out_binary64_4462`
57×	`distribute-lft-in_binary64_4460`
54×	`neg-sub0_binary64_4506`
53×	`neg-mul-1_binary64_4507`
48×	`distribute-rgt-out_binary64_4464`
45×	`+-commutative_binary64_4441`
43×	`pow-plus_binary64_4574` `rem-sqrt-square_binary64_4524`
41×	`times-frac_binary64_4517` `sub-neg_binary64_4504`
37×	`associate-/r/_binary64_4457`
35×	`associate-*r/_binary64_4453`
32×	`unpow3_binary64_4577`
31×	`-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `associate-/l/_binary64_4458`
29×	`count-2_binary64_4459`
27×	`cube-mult_binary64_4541`
24×	`associate-/r*_binary64_4455`
17×	`log-div_binary64_4598` `cube-div_binary64_4540` `distribute-neg-frac_binary64_4475`
13×	`cube-unmult_binary64_4548` `distribute-rgt1-in_binary64_4467`
11×	`distribute-rgt-neg-out_binary64_4471`
10×	`unpow1/2_binary64_4575`
9×	`distribute-lft-neg-out_binary64_4470` `distribute-lft1-in_binary64_4466`
8×	`unpow2_binary64_4576` `associate-*l/_binary64_4454`
5×	`unpow1_binary64_4569`
3×	`unpow1/3_binary64_4578`
2×	`exp-sqrt_binary64_4564` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `mul-1-neg_binary64_4503`
1×	`exp-lft-sqr_binary64_4566` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-3cbrt-rft_binary64_4537` `rem-square-sqrt_binary64_4523` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `associate-+l-_binary64_4446`
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` `pow-base-0_binary64_4595` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-neg_binary64_4538` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `div-sub_binary64_4516` `unsub-neg_binary64_4505` `/-rgt-identity_binary64_4502` `remove-double-neg_binary64_4499` `+-rgt-identity_binary64_4496` `+-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` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `cancel-sign-sub_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-out--_binary64_4465` `distribute-lft-out--_binary64_4463` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+r-_binary64_4445`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune55.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Error

0.0b

Counts

57 → 8

Compiler

Compiled 1045 to 325 computations (68.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite91.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_4542`
11×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
9×	`unpow-prod-down_binary64_4590`
5×	`pow1_binary64_4572` `add-exp-log_binary64_4549`
4×	`pow1/3_binary64_4593` `add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547`
3×	`pow-unpow_binary64_4588`
2×	`pow-pow_binary64_4583`
1×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `sqr-pow_binary64_4483`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1598 to 477 computations (70.2% saved)

series567.0ms (9.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

224.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
112.0ms	(cbrt.f64 x)
111.0ms	(cbrt.f64 x)
106.0ms	(cbrt.f64 x)

Compiler

Compiled 921 to 599 computations (35% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-+l+_binary64_4444`
312×	`associate-+r+_binary64_4443`
308×	`distribute-rgt-in_binary64_4461`
304×	`unswap-sqr_binary64_4479`
288×	`distribute-lft-in_binary64_4460`
209×	`log-prod_binary64_4597`
194×	`*-commutative_binary64_4442`
182×	`sqr-pow_binary64_4483`
164×	`distribute-rgt-neg-in_binary64_4469`
163×	`distribute-lft-neg-in_binary64_4468`
113×	`cube-prod_binary64_4539`
105×	`exp-prod_binary64_4563` `associate-l_binary64_4452`
93×	`associate-/l*_binary64_4456`
86×	`associate-r_binary64_4451`
73×	`swap-sqr_binary64_4478`
55×	`pow-sqr_binary64_4484`
54×	`pow-plus_binary64_4574`
50×	`cancel-sign-sub-inv_binary64_4477`
44×	`cube-unmult_binary64_4548` `distribute-rgt-out_binary64_4464`
39×	`log-pow_binary64_4600`
30×	`rem-sqrt-square_binary64_4524` `associate-/l/_binary64_4458`
29×	`distribute-lft-out_binary64_4462`
28×	`associate-/r*_binary64_4455`
25×	`neg-sub0_binary64_4506`
24×	`neg-mul-1_binary64_4507`
20×	`associate-*r/_binary64_4453`
18×	`count-2_binary64_4459`
15×	`associate-/r/_binary64_4457`
12×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569`
9×	`unpow3_binary64_4577` `rem-3cbrt-rft_binary64_4537`
6×	`cube-mult_binary64_4541` `sub-neg_binary64_4504`
5×	`*-rgt-identity_binary64_4501`
4×	`times-frac_binary64_4517` `associate-*l/_binary64_4454`
3×	`unpow1/3_binary64_4578` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470`
2×	`rem-cbrt-cube_binary64_4535` `mul-1-neg_binary64_4503` `*-lft-identity_binary64_4500` `distribute-rgt1-in_binary64_4467`
1×	`1-exp_binary64_4555` `rem-3cbrt-lft_binary64_4536` `/-rgt-identity_binary64_4502` `associate-+l-_binary64_4446` `+-commutative_binary64_4441`
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` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `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` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-div_binary64_4540` `cube-neg_binary64_4538` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-square-sqrt_binary64_4523` `div-sub_binary64_4516` `unsub-neg_binary64_4505` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-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` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `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-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465` `distribute-lft-out--_binary64_4463` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+r-_binary64_4445`

Counts

69 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	637
1	125	590
2	265	576
3	686	548
4	1603	535
5	4961	535

prune56.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	38	8	46

Error

0.0b

Counts

46 → 8

Compiler

Compiled 1106 to 386 computations (65.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite87.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series476.0ms (7.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

130.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
116.0ms	(cbrt.f64 z)
113.0ms	(cbrt.f64 z)
106.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_4597`
416×	`sqr-pow_binary64_4483`
335×	`associate-l_binary64_4452`
309×	`*-commutative_binary64_4442`
277×	`distribute-rgt-neg-in_binary64_4469`
257×	`distribute-lft-neg-in_binary64_4468`
227×	`associate-r_binary64_4451`
188×	`exp-prod_binary64_4563`
161×	`log-pow_binary64_4600`
149×	`cube-prod_binary64_4539`
128×	`pow-sqr_binary64_4484`
124×	`unswap-sqr_binary64_4479`
111×	`swap-sqr_binary64_4478`
104×	`associate-/l*_binary64_4456`
81×	`cancel-sign-sub-inv_binary64_4477`
75×	`associate-+l+_binary64_4444`
69×	`associate-+r+_binary64_4443`
61×	`distribute-rgt-in_binary64_4461`
60×	`distribute-lft-out_binary64_4462`
57×	`distribute-lft-in_binary64_4460`
54×	`neg-sub0_binary64_4506`
53×	`neg-mul-1_binary64_4507`
48×	`distribute-rgt-out_binary64_4464`
45×	`+-commutative_binary64_4441`
43×	`pow-plus_binary64_4574` `rem-sqrt-square_binary64_4524`
41×	`times-frac_binary64_4517` `sub-neg_binary64_4504`
37×	`associate-/r/_binary64_4457`
35×	`associate-*r/_binary64_4453`
32×	`unpow3_binary64_4577`
31×	`-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `associate-/l/_binary64_4458`
29×	`count-2_binary64_4459`
27×	`cube-mult_binary64_4541`
24×	`associate-/r*_binary64_4455`
17×	`log-div_binary64_4598` `cube-div_binary64_4540` `distribute-neg-frac_binary64_4475`
13×	`cube-unmult_binary64_4548` `distribute-rgt1-in_binary64_4467`
11×	`distribute-rgt-neg-out_binary64_4471`
10×	`unpow1/2_binary64_4575`
9×	`distribute-lft-neg-out_binary64_4470` `distribute-lft1-in_binary64_4466`
8×	`unpow2_binary64_4576` `associate-*l/_binary64_4454`
5×	`unpow1_binary64_4569`
3×	`unpow1/3_binary64_4578`
2×	`exp-sqrt_binary64_4564` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `mul-1-neg_binary64_4503`
1×	`exp-lft-sqr_binary64_4566` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-3cbrt-rft_binary64_4537` `rem-square-sqrt_binary64_4523` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `associate-+l-_binary64_4446`
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` `pow-base-0_binary64_4595` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-neg_binary64_4538` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `div-sub_binary64_4516` `unsub-neg_binary64_4505` `/-rgt-identity_binary64_4502` `remove-double-neg_binary64_4499` `+-rgt-identity_binary64_4496` `+-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` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `cancel-sign-sub_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-out--_binary64_4465` `distribute-lft-out--_binary64_4463` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+r-_binary64_4445`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune45.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	50	8	58

Error

0.0b

Counts

58 → 8

Compiler

Compiled 907 to 238 computations (73.8% saved)

regimes312.0ms (5.1%)

Accuracy

Total 0.1b remaining (74.6%)

Threshold costs 0.1b (74.6%)

Compiler

Compiled 2760 to 1894 computations (31.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_4442`
1×	`+-commutative_binary64_4441`
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` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `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	9	14
1	12	14
2	12	14

end0.0ms (0%)

sample2.3s (37%)

Algorithm

1×

intervals

Results

546.0ms	1976×	body	1024	valid
298.0ms	4532×	body	128	valid
180.0ms	986×	body	512	valid
70.0ms	501×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 703 to 485 computations (31% saved)

Details

analyze413.0ms (6.8%)

sample46.0ms (0.8%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite64.0ms (1.1%)

series545.0ms (8.9%)

simplify120.0ms (2%)

prune39.0ms (0.6%)

localize11.0ms (0.2%)

rewrite97.0ms (1.6%)

series507.0ms (8.3%)

simplify102.0ms (1.7%)

prune55.0ms (0.9%)

localize20.0ms (0.3%)

rewrite91.0ms (1.5%)

series567.0ms (9.3%)

simplify60.0ms (1%)

prune56.0ms (0.9%)

localize12.0ms (0.2%)

rewrite87.0ms (1.4%)

series476.0ms (7.8%)

simplify102.0ms (1.7%)

prune45.0ms (0.7%)

regimes312.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (37%)

Profiling