Details

analyze661.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64_4507`
741×	`neg-sub0_binary64_4506`
638×	`associate-/l*_binary64_4456`
470×	`distribute-frac-neg_binary64_4474`
468×	`div-sub_binary64_4516`
448×	`unsub-neg_binary64_4505`
352×	`sub-neg_binary64_4504`
260×	`distribute-rgt-in_binary64_4461`
256×	`times-frac_binary64_4517`
236×	`distribute-lft-neg-out_binary64_4470`
234×	`distribute-rgt-neg-out_binary64_4471`
198×	`distribute-lft-in_binary64_4460` `associate-*l/_binary64_4454`
187×	`associate-l_binary64_4452`
177×	`cancel-sign-sub-inv_binary64_4477`
173×	`associate-*r/_binary64_4453`
172×	`distribute-neg-frac_binary64_4475`
170×	`associate-r_binary64_4451`
155×	`associate-/r/_binary64_4457`
149×	`associate-/r*_binary64_4455`
122×	`*-lft-identity_binary64_4500`
117×	`associate-/l/_binary64_4458`
103×	`*-rgt-identity_binary64_4501`
97×	`*-commutative_binary64_4442`
90×	`remove-double-neg_binary64_4499`
82×	`distribute-rgt-neg-in_binary64_4469`
78×	`cancel-sign-sub_binary64_4476`
77×	`/-rgt-identity_binary64_4502`
53×	`div0_binary64_4492`
44×	`distribute-rgt-out_binary64_4464` `associate--r+_binary64_4447` `+-commutative_binary64_4441`
42×	`distribute-lft-neg-in_binary64_4468`
40×	`distribute-rgt-out--_binary64_4465`
34×	`+-lft-identity_binary64_4495`
32×	`associate-+l-_binary64_4446` `associate-+r+_binary64_4443`
29×	`distribute-neg-in_binary64_4472`
28×	`sub0-neg_binary64_4498` `distribute-neg-out_binary64_4473`
24×	`associate-+r-_binary64_4445`
22×	`associate-+l+_binary64_4444`
19×	`+-rgt-identity_binary64_4496`
17×	`remove-double-div_binary64_4487`
16×	`difference-of-squares_binary64_4480`
15×	`mul0-rgt_binary64_4494` `mul0-lft_binary64_4493`
12×	`distribute-lft-out_binary64_4462`
10×	`associate--r-_binary64_4450`
8×	`associate--l+_binary64_4448`
6×	`swap-sqr_binary64_4478`
4×	`associate--l-_binary64_4449`
3×	`sqr-neg_binary64_4525` `--rgt-identity_binary64_4497`
2×	`mul-1-neg_binary64_4503`
1×	`1-exp_binary64_4555`
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` `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` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `*-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `pow-sqr_binary64_4484` `sqr-pow_binary64_4483` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `unswap-sqr_binary64_4479` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463` `count-2_binary64_4459`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	161	200
2	483	200
3	1371	192
4	2735	192
5	3995	192
6	4316	192
7	4707	192
8	5013	192
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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample61.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	249×	body	256	valid
3.0ms	43×	body	128	nan
1.0ms	7×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify245.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64_4456`
634×	`div-sub_binary64_4516`
582×	`unsub-neg_binary64_4505`
519×	`sub-neg_binary64_4504`
502×	`times-frac_binary64_4517`
356×	`distribute-rgt-out--_binary64_4465`
307×	`neg-mul-1_binary64_4507`
295×	`distribute-rgt-neg-in_binary64_4469`
286×	`associate-/l/_binary64_4458`
280×	`neg-sub0_binary64_4506`
252×	`associate-/r/_binary64_4457`
250×	`distribute-lft-neg-out_binary64_4470`
246×	`distribute-neg-out_binary64_4473`
212×	`associate-/r_binary64_4455` `-commutative_binary64_4442`
210×	`+-commutative_binary64_4441`
208×	`distribute-rgt-out_binary64_4464`
203×	`distribute-rgt-in_binary64_4461`
199×	`distribute-rgt-neg-out_binary64_4471`
186×	`distribute-neg-frac_binary64_4475`
160×	`associate-*r/_binary64_4453`
145×	`cancel-sign-sub-inv_binary64_4477`
137×	`associate-*l/_binary64_4454`
133×	`distribute-neg-in_binary64_4472`
123×	`distribute-lft-in_binary64_4460`
113×	`associate-+l+_binary64_4444`
106×	`distribute-lft-out--_binary64_4463`
100×	`distribute-frac-neg_binary64_4474`
98×	`associate-+l-_binary64_4446`
90×	`associate-l_binary64_4452`
81×	`associate-+r+_binary64_4443`
78×	`associate-r_binary64_4451` `associate--r-_binary64_4450`
63×	`associate--r+_binary64_4447`
59×	`distribute-lft-neg-in_binary64_4468`
46×	`*-lft-identity_binary64_4500`
44×	`associate-+r-_binary64_4445`
43×	`*-rgt-identity_binary64_4501` `distribute-lft-out_binary64_4462`
35×	`remove-double-neg_binary64_4499` `sub0-neg_binary64_4498`
34×	`associate--l+_binary64_4448`
27×	`mul0-rgt_binary64_4494` `swap-sqr_binary64_4478`
25×	`mul0-lft_binary64_4493`
24×	`distribute-rgt1-in_binary64_4467`
23×	`associate--l-_binary64_4449`
20×	`mul-1-neg_binary64_4503`
18×	`div0_binary64_4492`
14×	`cancel-sign-sub_binary64_4476`
9×	`+-lft-identity_binary64_4495`
6×	`+-rgt-identity_binary64_4496`
5×	`sqr-neg_binary64_4525`
4×	`/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `+-inverses_binary64_4490`
2×	`difference-of-squares_binary64_4480` `distribute-lft1-in_binary64_4466`
1×	`1-exp_binary64_4555`
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` `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` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `*-inverses_binary64_4491` `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` `unswap-sqr_binary64_4479` `count-2_binary64_4459`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.1b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite195.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

31.6b

Rules

10×	`cbrt-div_binary64_4543`
8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`add-log-exp_binary64_4550` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `flip3--_binary64_4515` `sqrt-div_binary64_4528` `flip--_binary64_4486` `frac-times_binary64_4521` `associate-*r/_binary64_4453`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `difference-of-squares_binary64_4480` `rem-sqrt-square_binary64_4524` `pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `flip3-+_binary64_4514` `flip-+_binary64_4485`

Counts

4 → 60

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series1.5s (9.7%)

Error

31.6b

Counts

4 → 37

Calls

4 calls:

678.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
568.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
95.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
90.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4290 to 3161 computations (26.3% saved)

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

943×	`times-frac_binary64_4517`
272×	`distribute-rgt-in_binary64_4461`
269×	`distribute-lft-in_binary64_4460`
121×	`distribute-rgt-neg-out_binary64_4471`
114×	`cancel-sign-sub-inv_binary64_4477`
113×	`distribute-lft-neg-out_binary64_4470`
111×	`sub-neg_binary64_4504`
104×	`*-commutative_binary64_4442`
103×	`associate-r_binary64_4451`
97×	`div-sub_binary64_4516`
91×	`associate-l_binary64_4452`
72×	`unsub-neg_binary64_4505`
66×	`log-prod_binary64_4597`
64×	`sqr-pow_binary64_4483`
63×	`exp-sum_binary64_4557`
59×	`distribute-rgt-neg-in_binary64_4469`
58×	`neg-sub0_binary64_4506`
52×	`distribute-lft-neg-in_binary64_4468`
51×	`neg-mul-1_binary64_4507`
50×	`exp-prod_binary64_4563`
44×	`unswap-sqr_binary64_4479`
40×	`distribute-neg-out_binary64_4473`
39×	`distribute-rgt-out_binary64_4464`
38×	`distribute-frac-neg_binary64_4474`
37×	`+-commutative_binary64_4441`
32×	`unpow1/3_binary64_4578`
30×	`associate-/l*_binary64_4456`
28×	`exp-diff_binary64_4559`
27×	`log-div_binary64_4598`
26×	`associate-/r*_binary64_4455`
25×	`associate-*l/_binary64_4454`
24×	`difference-of-squares_binary64_4480`
22×	`exp-to-pow_binary64_4573`
21×	`associate-*r/_binary64_4453`
19×	`cube-prod_binary64_4539`
18×	`distribute-neg-in_binary64_4472`
17×	`*-lft-identity_binary64_4500`
16×	`pow-sqr_binary64_4484` `distribute-lft-out_binary64_4462` `associate-+l-_binary64_4446`
13×	`*-rgt-identity_binary64_4501`
12×	`distribute-rgt-out--_binary64_4465` `associate-+r-_binary64_4445`
9×	`unpow3_binary64_4577` `associate-+l+_binary64_4444`
8×	`pow-plus_binary64_4574` `associate-+r+_binary64_4443`
6×	`remove-double-neg_binary64_4499` `associate--r-_binary64_4450` `associate--l-_binary64_4449`
5×	`log-pow_binary64_4600` `cube-unmult_binary64_4548`
4×	`log-rec_binary64_4599` `exp-neg_binary64_4558` `cube-mult_binary64_4541` `cube-neg_binary64_4538` `mul-1-neg_binary64_4503` `swap-sqr_binary64_4478` `distribute-neg-frac_binary64_4475`
3×	`sqr-neg_binary64_4525` `associate-/r/_binary64_4457`
2×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `rem-3cbrt-lft_binary64_4536` `rem-sqrt-square_binary64_4524` `sub0-neg_binary64_4498` `+-rgt-identity_binary64_4496` `cancel-sign-sub_binary64_4476`
1×	`exp-lft-sqr_binary64_4566` `1-exp_binary64_4555` `rem-square-sqrt_binary64_4523` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `+-inverses_binary64_4490` `distribute-rgt1-in_binary64_4467` `distribute-lft-out--_binary64_4463` `associate--l+_binary64_4448` `associate--r+_binary64_4447`
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` `pow-base-0_binary64_4595` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `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` `prod-exp_binary64_4560` `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` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `*-inverses_binary64_4491` `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` `distribute-lft1-in_binary64_4466` `count-2_binary64_4459` `associate-/l/_binary64_4458`

Counts

97 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	2254
1	559	2186
2	1601	2086
3	4894	2046
4	4928	2046

prune201.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	53	16	69
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	17	71

Error

31.2b

Counts

71 → 17

Compiler

Compiled 3512 to 1609 computations (54.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite149.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

Rules

8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
5×	`flip3--_binary64_4515` `flip--_binary64_4486` `cbrt-div_binary64_4543`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `sqrt-div_binary64_4528`
3×	`difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `frac-times_binary64_4521` `associate-*r/_binary64_4453`
1×	`pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 59

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series957.0ms (6.1%)

Error

30.5b

Counts

4 → 38

Calls

4 calls:

546.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
159.0ms	(-.f64 (.f64 g g) (.f64 h h))
100.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
86.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3689 to 2627 computations (28.8% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_4452`
428×	`associate-r_binary64_4451`
239×	`distribute-rgt-in_binary64_4461`
237×	`distribute-lft-in_binary64_4460`
226×	`exp-sum_binary64_4557`
167×	`exp-prod_binary64_4563`
160×	`*-commutative_binary64_4442`
122×	`exp-diff_binary64_4559`
112×	`times-frac_binary64_4517`
95×	`distribute-rgt-neg-out_binary64_4471`
93×	`distribute-lft-neg-out_binary64_4470`
89×	`log-prod_binary64_4597`
82×	`associate-/l*_binary64_4456`
81×	`sub-neg_binary64_4504`
74×	`cancel-sign-sub-inv_binary64_4477`
66×	`associate-+r-_binary64_4445`
57×	`associate-*l/_binary64_4454`
56×	`sqr-pow_binary64_4483`
54×	`div-sub_binary64_4516`
51×	`distribute-rgt-neg-in_binary64_4469`
50×	`associate-+r+_binary64_4443`
48×	`unsub-neg_binary64_4505`
47×	`neg-sub0_binary64_4506` `distribute-lft-neg-in_binary64_4468`
44×	`log-div_binary64_4598` `unswap-sqr_binary64_4479` `associate-+l-_binary64_4446`
43×	`neg-mul-1_binary64_4507`
42×	`associate-/r*_binary64_4455`
39×	`associate-*r/_binary64_4453`
38×	`associate-+l+_binary64_4444`
33×	`distribute-neg-out_binary64_4473` `distribute-rgt-out_binary64_4464`
27×	`+-commutative_binary64_4441`
23×	`difference-of-squares_binary64_4480`
22×	`cube-prod_binary64_4539`
21×	`exp-neg_binary64_4558` `associate--r-_binary64_4450`
19×	`exp-to-pow_binary64_4573`
18×	`unpow1/3_binary64_4578`
16×	`associate--r+_binary64_4447`
15×	`distribute-neg-in_binary64_4472` `associate--l-_binary64_4449`
14×	`unpow3_binary64_4577` `pow-sqr_binary64_4484` `associate--l+_binary64_4448`
13×	`distribute-frac-neg_binary64_4474`
12×	`pow-plus_binary64_4574`
10×	`*-lft-identity_binary64_4500` `swap-sqr_binary64_4478` `distribute-lft-out_binary64_4462`
8×	`associate-/r/_binary64_4457`
7×	`*-rgt-identity_binary64_4501`
5×	`log-pow_binary64_4600` `log-rec_binary64_4599` `cube-unmult_binary64_4548` `cube-neg_binary64_4538` `remove-double-neg_binary64_4499` `distribute-rgt-out--_binary64_4465`
4×	`cube-mult_binary64_4541` `sqr-neg_binary64_4525` `+-rgt-identity_binary64_4496` `distribute-neg-frac_binary64_4475`
3×	`mul-1-neg_binary64_4503`
2×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `rem-sqrt-square_binary64_4524` `sub0-neg_binary64_4498` `associate-/l/_binary64_4458`
1×	`div-exp_binary64_4562` `prod-exp_binary64_4560` `1-exp_binary64_4555` `rem-3cbrt-lft_binary64_4536` `rem-square-sqrt_binary64_4523` `/-rgt-identity_binary64_4502` `+-inverses_binary64_4490` `cancel-sign-sub_binary64_4476` `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` `pow-base-0_binary64_4595` `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` `rec-exp_binary64_4561` `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` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `--rgt-identity_binary64_4497` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `*-inverses_binary64_4491` `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` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463`

Counts

97 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1720
1	386	1615
2	1095	1574
3	4260	1560
4	4980	1560

prune161.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	68	14	82

Error

30.3b

Counts

82 → 14

Compiler

Compiled 3029 to 1316 computations (56.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite165.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
5×	`flip3--_binary64_4515` `flip--_binary64_4486` `cbrt-div_binary64_4543`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `sqrt-div_binary64_4528`
3×	`difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `frac-times_binary64_4521` `associate-*r/_binary64_4453`
1×	`pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 59

Calls

4 calls:

19.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2879 to 1087 computations (62.2% saved)

series989.0ms (6.3%)

Error

30.3b

Counts

4 → 38

Calls

4 calls:

572.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
159.0ms	(-.f64 (.f64 g g) (.f64 h h))
96.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
91.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3998 to 2936 computations (26.6% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_4452`
428×	`associate-r_binary64_4451`
239×	`distribute-rgt-in_binary64_4461`
237×	`distribute-lft-in_binary64_4460`
226×	`exp-sum_binary64_4557`
167×	`exp-prod_binary64_4563`
160×	`*-commutative_binary64_4442`
122×	`exp-diff_binary64_4559`
112×	`times-frac_binary64_4517`
95×	`distribute-rgt-neg-out_binary64_4471`
93×	`distribute-lft-neg-out_binary64_4470`
89×	`log-prod_binary64_4597`
82×	`associate-/l*_binary64_4456`
81×	`sub-neg_binary64_4504`
74×	`cancel-sign-sub-inv_binary64_4477`
66×	`associate-+r-_binary64_4445`
57×	`associate-*l/_binary64_4454`
56×	`sqr-pow_binary64_4483`
54×	`div-sub_binary64_4516`
51×	`distribute-rgt-neg-in_binary64_4469`
50×	`associate-+r+_binary64_4443`
48×	`unsub-neg_binary64_4505`
47×	`neg-sub0_binary64_4506` `distribute-lft-neg-in_binary64_4468`
44×	`log-div_binary64_4598` `unswap-sqr_binary64_4479` `associate-+l-_binary64_4446`
43×	`neg-mul-1_binary64_4507`
42×	`associate-/r*_binary64_4455`
39×	`associate-*r/_binary64_4453`
38×	`associate-+l+_binary64_4444`
33×	`distribute-neg-out_binary64_4473` `distribute-rgt-out_binary64_4464`
27×	`+-commutative_binary64_4441`
23×	`difference-of-squares_binary64_4480`
22×	`cube-prod_binary64_4539`
21×	`exp-neg_binary64_4558` `associate--r-_binary64_4450`
19×	`exp-to-pow_binary64_4573`
18×	`unpow1/3_binary64_4578`
16×	`associate--r+_binary64_4447`
15×	`distribute-neg-in_binary64_4472` `associate--l-_binary64_4449`
14×	`unpow3_binary64_4577` `pow-sqr_binary64_4484` `associate--l+_binary64_4448`
13×	`distribute-frac-neg_binary64_4474`
12×	`pow-plus_binary64_4574`
10×	`*-lft-identity_binary64_4500` `swap-sqr_binary64_4478` `distribute-lft-out_binary64_4462`
8×	`associate-/r/_binary64_4457`
7×	`*-rgt-identity_binary64_4501`
5×	`log-pow_binary64_4600` `log-rec_binary64_4599` `cube-unmult_binary64_4548` `cube-neg_binary64_4538` `remove-double-neg_binary64_4499` `distribute-rgt-out--_binary64_4465`
4×	`cube-mult_binary64_4541` `sqr-neg_binary64_4525` `+-rgt-identity_binary64_4496` `distribute-neg-frac_binary64_4475`
3×	`mul-1-neg_binary64_4503`
2×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `rem-sqrt-square_binary64_4524` `sub0-neg_binary64_4498` `associate-/l/_binary64_4458`
1×	`div-exp_binary64_4562` `prod-exp_binary64_4560` `1-exp_binary64_4555` `rem-3cbrt-lft_binary64_4536` `rem-square-sqrt_binary64_4523` `/-rgt-identity_binary64_4502` `+-inverses_binary64_4490` `cancel-sign-sub_binary64_4476` `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` `pow-base-0_binary64_4595` `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` `rec-exp_binary64_4561` `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` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `--rgt-identity_binary64_4497` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `*-inverses_binary64_4491` `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` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463`

Counts

97 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1720
1	386	1615
2	1095	1574
3	4260	1560
4	4980	1560

prune160.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	64	15	79

Error

30.3b

Counts

79 → 15

Compiler

Compiled 3253 to 1539 computations (52.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
6.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite140.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

8×	`add-sqr-sqrt_binary64_4533` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
5×	`cbrt-div_binary64_4543`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `sqrt-div_binary64_4528`
3×	`flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-squares_binary64_4480`
2×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `flip3-+_binary64_4514` `frac-times_binary64_4521` `flip-+_binary64_4485` `associate-*r/_binary64_4453`
1×	`pow1/3_binary64_4593` `associate-*l/_binary64_4454` `cbrt-prod_binary64_4542` `diff-log_binary64_4603` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`

Counts

4 → 59

Calls

4 calls:

15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2761 to 921 computations (66.6% saved)

series1.1s (6.8%)

Error

30.3b

Counts

4 → 40

Calls

4 calls:

665.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
138.0ms	(-.f64 (.f64 g g) (.f64 h h))
104.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
89.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4140 to 2917 computations (29.5% saved)

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

932×	`times-frac_binary64_4517`
322×	`associate-/l*_binary64_4456`
233×	`distribute-rgt-in_binary64_4461`
228×	`distribute-lft-in_binary64_4460`
113×	`distribute-rgt-neg-out_binary64_4471`
111×	`distribute-lft-neg-out_binary64_4470`
91×	`sub-neg_binary64_4504`
83×	`cancel-sign-sub-inv_binary64_4477`
80×	`associate-r_binary64_4451`
77×	`div-sub_binary64_4516`
76×	`associate-l_binary64_4452`
74×	`*-commutative_binary64_4442`
64×	`exp-prod_binary64_4563`
56×	`log-prod_binary64_4597` `sqr-pow_binary64_4483`
54×	`distribute-rgt-neg-in_binary64_4469`
52×	`neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `unswap-sqr_binary64_4479`
47×	`exp-sum_binary64_4557` `neg-mul-1_binary64_4507`
44×	`distribute-lft-neg-in_binary64_4468`
36×	`associate-/r/_binary64_4457`
34×	`distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473`
30×	`distribute-rgt-out_binary64_4464`
28×	`log-div_binary64_4598` `+-commutative_binary64_4441`
23×	`exp-diff_binary64_4559`
22×	`cube-prod_binary64_4539` `difference-of-squares_binary64_4480` `associate-/r*_binary64_4455`
20×	`associate-*l/_binary64_4454`
18×	`associate-*r/_binary64_4453`
15×	`pow-sqr_binary64_4484`
14×	`distribute-neg-in_binary64_4472`
13×	`*-lft-identity_binary64_4500`
12×	`distribute-rgt-out--_binary64_4465`
11×	`swap-sqr_binary64_4478` `associate-+l-_binary64_4446`
10×	`*-rgt-identity_binary64_4501`
9×	`associate-+r-_binary64_4445`
8×	`unpow1/3_binary64_4578` `exp-neg_binary64_4558` `distribute-lft-out_binary64_4462`
7×	`unpow3_binary64_4577` `exp-to-pow_binary64_4573`
5×	`log-pow_binary64_4600` `cube-unmult_binary64_4548` `cube-neg_binary64_4538` `remove-double-neg_binary64_4499` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate-+l+_binary64_4444`
4×	`log-rec_binary64_4599` `pow-plus_binary64_4574` `cube-mult_binary64_4541` `sqr-neg_binary64_4525` `distribute-neg-frac_binary64_4475` `associate-+r+_binary64_4443`
3×	`mul-1-neg_binary64_4503` `+-rgt-identity_binary64_4496`
2×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `rem-sqrt-square_binary64_4524` `sub0-neg_binary64_4498` `cancel-sign-sub_binary64_4476` `associate-/l/_binary64_4458`
1×	`exp-lft-sqr_binary64_4566` `div-exp_binary64_4562` `1-exp_binary64_4555` `rem-3cbrt-lft_binary64_4536` `rem-square-sqrt_binary64_4523` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `+-inverses_binary64_4490` `distribute-rgt1-in_binary64_4467` `distribute-lft-out--_binary64_4463` `count-2_binary64_4459` `associate--l+_binary64_4448` `associate--r+_binary64_4447`
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` `pow-base-0_binary64_4595` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `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` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `*-inverses_binary64_4491` `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` `distribute-lft1-in_binary64_4466`

Counts

99 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1855
1	451	1750
2	1312	1691
3	4939	1691
4	4942	1691

prune116.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	67	15	82

Error

30.3b

Counts

82 → 15

Compiler

Compiled 2598 to 1025 computations (60.5% saved)

regimes3.2s (20.2%)

Accuracy

Total 1.9b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 43498 to 27180 computations (37.5% saved)

bsearch16.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64_4442`
15×	`+-commutative_binary64_4441`
13×	`sub-neg_binary64_4504`
10×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
3×	`distribute-neg-out_binary64_4473`
2×	`distribute-neg-frac_binary64_4475` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469`
1×	`if-if-or-not_binary64_4769` `1-exp_binary64_4555` `unsub-neg_binary64_4505` `*-rgt-identity_binary64_4501` `cancel-sign-sub-inv_binary64_4477` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-in_binary64_4468`
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_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` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `mul-1-neg_binary64_4503` `/-rgt-identity_binary64_4502` `*-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_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-neg-in_binary64_4472`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	46	229
1	72	229
2	86	229
3	103	229
4	114	229
5	122	229
6	127	223
7	130	223
8	124	223

end0.0ms (0%)

sample5.2s (33%)

Algorithm

1×

intervals

Results

1.2s	7554×	body	256	valid
98.0ms	1239×	body	128	nan
39.0ms	446×	body	128	valid

Compiler

Compiled 5782 to 3621 computations (37.4% saved)

Iter	Nodes	Cost
0	46	229
1	72	229
2	86	229
3	103	229
4	114	229
5	122	229
6	127	223
7	130	223
8	124	223

Iter	Nodes	Cost
0	46	229
1	72	229
2	86	229
3	103	229
4	114	229
5	122	229
6	127	223
7	130	223
8	124	223

Details

analyze661.0ms (4.2%)

sample61.0ms (0.4%)

simplify245.0ms (1.6%)

prune7.0ms (0%)

localize23.0ms (0.1%)

rewrite195.0ms (1.2%)

series1.5s (9.7%)

simplify111.0ms (0.7%)

prune201.0ms (1.3%)

localize24.0ms (0.2%)

rewrite149.0ms (1%)

series957.0ms (6.1%)

simplify97.0ms (0.6%)

prune161.0ms (1%)

localize23.0ms (0.2%)

rewrite165.0ms (1.1%)

series989.0ms (6.3%)

simplify95.0ms (0.6%)

prune160.0ms (1%)

localize22.0ms (0.1%)

rewrite140.0ms (0.9%)

series1.1s (6.8%)

simplify100.0ms (0.6%)

prune116.0ms (0.7%)

regimes3.2s (20.2%)

bsearch16.0ms (0.1%)

simplify13.0ms (0.1%)

end0.0ms (0%)

sample5.2s (33%)

Profiling

Iter	Nodes	Cost
0	46	229
1	72	229
2	86	229
3	103	229
4	114	229
5	122	229
6	127	223
7	130	223
8	124	223