Details

analyze537.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64_4516`
692×	`sub-neg_binary64_4504`
595×	`neg-mul-1_binary64_4507`
552×	`associate-/r*_binary64_4455`
505×	`neg-sub0_binary64_4506`
447×	`distribute-neg-frac_binary64_4475`
324×	`distribute-frac-neg_binary64_4474`
315×	`distribute-rgt-neg-in_binary64_4469`
302×	`distribute-lft-neg-out_binary64_4470`
238×	`distribute-rgt-neg-out_binary64_4471`
227×	`remove-double-neg_binary64_4499`
226×	`associate-/r/_binary64_4457`
220×	`associate-/l*_binary64_4456`
219×	`unsub-neg_binary64_4505`
209×	`associate-*l/_binary64_4454`
189×	`distribute-rgt-in_binary64_4461`
184×	`cancel-sign-sub-inv_binary64_4477`
144×	`times-frac_binary64_4517`
143×	`cancel-sign-sub_binary64_4476`
119×	`associate-/l/_binary64_4458`
111×	`distribute-lft-neg-in_binary64_4468`
109×	`distribute-neg-in_binary64_4472`
106×	`distribute-lft-in_binary64_4460`
89×	`associate--r-_binary64_4450`
84×	`associate--r+_binary64_4447`
66×	`sub0-neg_binary64_4498`
61×	`+-lft-identity_binary64_4495`
60×	`*-commutative_binary64_4442`
56×	`--rgt-identity_binary64_4497` `+-commutative_binary64_4441`
54×	`/-rgt-identity_binary64_4502`
45×	`associate-r_binary64_4451` `associate-+l-_binary64_4446`
44×	`associate-*r/_binary64_4453`
43×	`*-lft-identity_binary64_4500`
40×	`associate-+l+_binary64_4444`
36×	`div0_binary64_4492`
31×	`+-rgt-identity_binary64_4496`
29×	`associate--l-_binary64_4449` `associate-+r-_binary64_4445`
26×	`associate-l_binary64_4452`
18×	`*-rgt-identity_binary64_4501` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493`
17×	`associate-+r+_binary64_4443`
6×	`associate--l+_binary64_4448`
3×	`sqr-neg_binary64_4525` `swap-sqr_binary64_4478`
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` `mul-1-neg_binary64_4503` `*-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` `distribute-neg-out_binary64_4473` `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` `count-2_binary64_4459`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	88	96
2	164	96
3	316	96
4	473	96
5	779	96
6	1371	96
7	2448	96
8	3627	96
9	4406	96
10	4697	96
11	4882	96
12	4930	96
13	4963	96
14	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	125×	body	256	valid
8.0ms	287×	pre	128	true
6.0ms	45×	body	512	valid
4.0ms	86×	body	128	valid
1.0ms	31×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify313.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_4516`
743×	`associate-/l*_binary64_4456`
567×	`times-frac_binary64_4517`
521×	`associate-/l/_binary64_4458`
427×	`associate-/r/_binary64_4457`
390×	`sub-neg_binary64_4504`
318×	`distribute-rgt-in_binary64_4461`
273×	`cancel-sign-sub-inv_binary64_4477`
256×	`distribute-neg-frac_binary64_4475`
247×	`distribute-lft-in_binary64_4460`
214×	`distribute-rgt-neg-in_binary64_4469`
199×	`unsub-neg_binary64_4505`
187×	`associate-/r*_binary64_4455`
179×	`distribute-lft-neg-in_binary64_4468`
116×	`neg-mul-1_binary64_4507`
113×	`associate-*l/_binary64_4454`
98×	`*-commutative_binary64_4442`
82×	`distribute-lft-neg-out_binary64_4470`
74×	`neg-sub0_binary64_4506` `distribute-frac-neg_binary64_4474`
67×	`distribute-rgt-neg-out_binary64_4471`
58×	`associate-r_binary64_4451`
55×	`+-commutative_binary64_4441`
54×	`associate--r+_binary64_4447`
49×	`div0_binary64_4492` `associate-l_binary64_4452`
48×	`mul0-rgt_binary64_4494`
45×	`associate-*r/_binary64_4453`
44×	`mul0-lft_binary64_4493`
42×	`remove-double-div_binary64_4487`
38×	`associate--r-_binary64_4450`
30×	`+-lft-identity_binary64_4495`
26×	`distribute-neg-in_binary64_4472` `associate--l-_binary64_4449`
23×	`cancel-sign-sub_binary64_4476`
22×	`/-rgt-identity_binary64_4502` `remove-double-neg_binary64_4499`
19×	`sub0-neg_binary64_4498`
17×	`*-lft-identity_binary64_4500`
14×	`associate-+l-_binary64_4446` `associate-+r-_binary64_4445` `associate-+l+_binary64_4444`
10×	`*-rgt-identity_binary64_4501` `distribute-rgt-out--_binary64_4465` `distribute-rgt-out_binary64_4464` `associate--l+_binary64_4448`
8×	`distribute-neg-out_binary64_4473`
7×	`--rgt-identity_binary64_4497` `associate-+r+_binary64_4443`
6×	`mul-1-neg_binary64_4503`
5×	`+-rgt-identity_binary64_4496`
4×	`distribute-lft-out_binary64_4462`
2×	`distribute-lft-out--_binary64_4463`
1×	`1-exp_binary64_4555` `swap-sqr_binary64_4478`
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` `sqr-neg_binary64_4525` `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` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `count-2_binary64_4459`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

53.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
26.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite157.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

50.3b

Rules

20×	`add-sqr-sqrt_binary64_4533`
14×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `*-un-lft-identity_binary64_4511`
9×	`pow1_binary64_4572`
8×	`add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546`
6×	`difference-of-squares_binary64_4480` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
4×	`cancel-sign-sub-inv_binary64_4477` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
3×	`flip3--_binary64_4515` `flip--_binary64_4486` `sqrt-prod_binary64_4527` `distribute-lft-out--_binary64_4463` `pow-prod-down_binary64_4582` `associate-r_binary64_4451`
2×	`diff-log_binary64_4603` `sub-neg_binary64_4504` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `associate-/l/_binary64_4458`
1×	`associate-l_binary64_4452` `-commutative_binary64_4442` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/r_binary64_4455`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series912.0ms (6.1%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

294.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
245.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
215.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
82.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64_4456`
244×	`distribute-rgt-in_binary64_4461`
224×	`distribute-rgt-neg-in_binary64_4469`
216×	`distribute-lft-in_binary64_4460`
205×	`distribute-lft-neg-in_binary64_4468`
181×	`cancel-sign-sub-inv_binary64_4477`
170×	`associate-l_binary64_4452`
166×	`associate-r_binary64_4451`
162×	`associate-/r/_binary64_4457`
152×	`associate-/l/_binary64_4458`
112×	`*-commutative_binary64_4442`
99×	`unswap-sqr_binary64_4479`
79×	`sub-neg_binary64_4504`
77×	`distribute-neg-frac_binary64_4475`
76×	`times-frac_binary64_4517`
75×	`associate-/r*_binary64_4455`
73×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
63×	`distribute-neg-in_binary64_4472`
59×	`div-sub_binary64_4516`
54×	`sqr-pow_binary64_4483`
52×	`exp-prod_binary64_4563`
45×	`+-commutative_binary64_4441`
34×	`associate-*l/_binary64_4454`
32×	`associate-*r/_binary64_4453`
29×	`distribute-rgt-out_binary64_4464`
25×	`cube-prod_binary64_4539` `unsub-neg_binary64_4505` `distribute-lft-neg-out_binary64_4470`
24×	`associate-+r+_binary64_4443`
22×	`associate-+l+_binary64_4444`
21×	`log-prod_binary64_4597`
18×	`swap-sqr_binary64_4478` `associate--r+_binary64_4447`
17×	`distribute-lft-out_binary64_4462`
13×	`-rgt-identity_binary64_4501` `-lft-identity_binary64_4500`
12×	`distribute-rgt-neg-out_binary64_4471`
10×	`unpow3_binary64_4577`
9×	`cube-mult_binary64_4541`
8×	`/-rgt-identity_binary64_4502` `difference-of-squares_binary64_4480`
7×	`exp-sum_binary64_4557` `associate-+r-_binary64_4445`
6×	`log-div_binary64_4598` `exp-diff_binary64_4559` `+-rgt-identity_binary64_4496`
5×	`cube-unmult_binary64_4548`
4×	`pow-plus_binary64_4574` `pow-sqr_binary64_4484`
3×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `cube-div_binary64_4540` `rem-sqrt-square_binary64_4524` `mul-1-neg_binary64_4503` `associate-+l-_binary64_4446`
2×	`log-pow_binary64_4600` `div-exp_binary64_4562` `rem-square-sqrt_binary64_4523` `distribute-neg-out_binary64_4473` `distribute-lft-out--_binary64_4463`
1×	`1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-3cbrt-lft_binary64_4536` `remove-double-neg_binary64_4499` `*-inverses_binary64_4491` `count-2_binary64_4459` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448`
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` `unpow1/3_binary64_4578` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow-1_binary64_4568` `exp-lft-sqr_binary64_4566` `exp-sqrt_binary64_4564` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-neg_binary64_4558` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `+-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` `cancel-sign-sub_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5268	2923

prune146.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Error

0.1b

Counts

108 → 5

Compiler

Compiled 2686 to 1490 computations (44.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite774.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

155×	`add-exp-log_binary64_4549`
72×	`prod-exp_binary64_4560`
60×	`div-exp_binary64_4562`
50×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579`
40×	`add-sqr-sqrt_binary64_4533`
31×	`unpow-prod-down_binary64_4590`
29×	`add-cbrt-cube_binary64_4547`
26×	`times-frac_binary64_4517` `associate-/r*_binary64_4455`
23×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
15×	`sqr-pow_binary64_4483`
12×	`cube-prod_binary64_4539` `unswap-sqr_binary64_4479` `associate-l_binary64_4452`
8×	`cbrt-undiv_binary64_4545` `cbrt-unprod_binary64_4544`
7×	`associate-r_binary64_4451`
4×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
3×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l*_binary64_4456` `unpow3_binary64_4577` `cube-mult_binary64_4541`
1×	`*-commutative_binary64_4442`

Counts

4 → 202

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series1.5s (9.9%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

485.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
409.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
334.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
189.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-/l*_binary64_4456`
413×	`times-frac_binary64_4517`
354×	`associate-l_binary64_4452`
338×	`log-div_binary64_4598`
299×	`associate-r_binary64_4451`
247×	`associate-/r*_binary64_4455`
190×	`log-prod_binary64_4597`
120×	`cube-prod_binary64_4539`
106×	`associate-/l/_binary64_4458`
94×	`associate-*l/_binary64_4454`
91×	`sqr-pow_binary64_4483` `*-commutative_binary64_4442`
83×	`exp-prod_binary64_4563`
69×	`cube-div_binary64_4540`
64×	`associate-*r/_binary64_4453`
62×	`unswap-sqr_binary64_4479`
58×	`sub-neg_binary64_4504` `associate-/r/_binary64_4457`
55×	`*-rgt-identity_binary64_4501`
48×	`log-pow_binary64_4600`
35×	`distribute-rgt-neg-in_binary64_4469`
31×	`distribute-lft-neg-in_binary64_4468`
29×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `cancel-sign-sub-inv_binary64_4477`
26×	`cube-unmult_binary64_4548` `associate--l+_binary64_4448`
22×	`/-rgt-identity_binary64_4502`
20×	`*-lft-identity_binary64_4500` `+-commutative_binary64_4441`
18×	`log-rec_binary64_4599` `pow-plus_binary64_4574`
17×	`swap-sqr_binary64_4478`
16×	`rem-sqrt-square_binary64_4524` `pow-sqr_binary64_4484`
11×	`unpow3_binary64_4577`
10×	`distribute-neg-frac_binary64_4475`
9×	`associate-+l+_binary64_4444`
8×	`cube-mult_binary64_4541`
5×	`unsub-neg_binary64_4505`
4×	`unpow2_binary64_4576` `unpow1_binary64_4569` `div-sub_binary64_4516`
3×	`rem-square-sqrt_binary64_4523` `distribute-lft-neg-out_binary64_4470`
2×	`unpow1/2_binary64_4575` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `count-2_binary64_4459` `associate-+r+_binary64_4443`
1×	`1-exp_binary64_4555` `exp-1-e_binary64_4554`
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` `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` `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-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `mul-1-neg_binary64_4503` `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-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `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` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`

Counts

235 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4201
1	636	3844
2	3930	3808
3	4779	3808
4	5089	3808

prune481.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	164	5	169

Error

0.1b

Counts

169 → 5

Compiler

Compiled 8026 to 4997 computations (37.7% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite627.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

46×	`pow1_binary64_4572`
36×	`add-exp-log_binary64_4549`
26×	`add-cbrt-cube_binary64_4547`
23×	`add-sqr-sqrt_binary64_4533`
19×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560`
13×	`unpow-prod-down_binary64_4590`
11×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511` `cbrt-unprod_binary64_4544`
10×	`associate-*r/_binary64_4453`
9×	`sqr-pow_binary64_4483` `unswap-sqr_binary64_4479`
8×	`pow-exp_binary64_4579` `associate-l_binary64_4452` `associate-r_binary64_4451`
7×	`pow-to-exp_binary64_4580` `associate-/l/_binary64_4458`
5×	`frac-sub_binary64_4520`
4×	`add-log-exp_binary64_4550` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `frac-add_binary64_4519`
3×	`pow-unpow_binary64_4588` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
2×	`pow-pow_binary64_4583` `rem-cube-cbrt_binary64_4534` `pow-plus_binary64_4574` `*-commutative_binary64_4442` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `flip3-+_binary64_4514` `flip-+_binary64_4485`
1×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `pow2_binary64_4592` `swap-sqr_binary64_4478` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508` `flip3--_binary64_4515` `flip--_binary64_4486` `associate-/r*_binary64_4455`

Counts

4 → 127

Calls

4 calls:

31.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series979.0ms (6.5%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

457.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
188.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
137.0ms	(pow.f64 (*.f64 a c) 3)
122.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_4479`
340×	`associate-r_binary64_4451`
327×	`associate-l_binary64_4452`
302×	`log-prod_binary64_4597`
171×	`*-commutative_binary64_4442`
119×	`exp-prod_binary64_4563`
116×	`swap-sqr_binary64_4478`
112×	`cancel-sign-sub-inv_binary64_4477`
110×	`div-sub_binary64_4516`
96×	`times-frac_binary64_4517`
89×	`associate-/l*_binary64_4456`
83×	`sqr-pow_binary64_4483` `distribute-rgt-in_binary64_4461`
75×	`distribute-lft-in_binary64_4460`
74×	`cube-prod_binary64_4539`
70×	`associate-*r/_binary64_4453`
69×	`associate-*l/_binary64_4454`
65×	`sub-neg_binary64_4504` `associate-/r*_binary64_4455`
43×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
36×	`+-commutative_binary64_4441`
32×	`associate-+r+_binary64_4443`
29×	`associate-+l+_binary64_4444`
28×	`log-pow_binary64_4600`
21×	`distribute-rgt-neg-in_binary64_4469`
18×	`unsub-neg_binary64_4505` `distribute-neg-in_binary64_4472` `associate--r+_binary64_4447`
17×	`distribute-lft-neg-in_binary64_4468`
15×	`cube-unmult_binary64_4548` `pow-sqr_binary64_4484` `associate-/r/_binary64_4457`
12×	`rem-sqrt-square_binary64_4524`
10×	`*-lft-identity_binary64_4500`
9×	`pow-plus_binary64_4574` `*-rgt-identity_binary64_4501`
7×	`unpow1_binary64_4569`
6×	`unpow2_binary64_4576` `distribute-neg-frac_binary64_4475`
5×	`log-div_binary64_4598` `unpow3_binary64_4577` `associate-/l/_binary64_4458`
4×	`cube-mult_binary64_4541` `distribute-rgt-out--_binary64_4465`
3×	`unpow1/2_binary64_4575` `exp-cbrt_binary64_4565` `associate-+r-_binary64_4445`
2×	`exp-diff_binary64_4559` `cube-div_binary64_4540` `rem-square-sqrt_binary64_4523` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-out_binary64_4464` `count-2_binary64_4459` `associate--r-_binary64_4450` `associate--l+_binary64_4448` `associate-+l-_binary64_4446`
1×	`exp-sum_binary64_4557` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-cbrt-cube_binary64_4535` `/-rgt-identity_binary64_4502` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `+-rgt-identity_binary64_4496`
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` `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-sqrt_binary64_4564` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-neg_binary64_4558` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `mul-1-neg_binary64_4503` `--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` `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-rgt-neg-out_binary64_4471` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `associate--l-_binary64_4449`

Counts

166 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4878
1	679	4044
2	3033	4010
3	4718	4010
4	4933	4010

prune495.0ms (3.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Error

0.1b

Counts

143 → 9

Compiler

Compiled 8440 to 5155 computations (38.9% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite340.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`add-exp-log_binary64_4549`
13×	`pow1_binary64_4572`
12×	`add-cbrt-cube_binary64_4547`
9×	`add-cube-cbrt_binary64_4546` `pow-unpow_binary64_4588` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
6×	`pow-pow_binary64_4583` `pow-exp_binary64_4579`
5×	`associate-*r/_binary64_4453` `associate-/l/_binary64_4458`
4×	`prod-exp_binary64_4560` `add-log-exp_binary64_4550` `frac-add_binary64_4519`
3×	`unpow-prod-down_binary64_4590` `pow-prod-down_binary64_4582` `pow-to-exp_binary64_4580` `sqr-pow_binary64_4483` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
2×	`rem-cube-cbrt_binary64_4534` `cbrt-unprod_binary64_4544` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `flip3-+_binary64_4514` `flip-+_binary64_4485`
1×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `unpow2_binary64_4576` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/r*_binary64_4455`

Counts

4 → 83

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.5s (10.3%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

1.1s	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
132.0ms	(pow.f64 (*.f64 a c) 3)
128.0ms	(pow.f64 (*.f64 a c) 4)
117.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64_4517`
423×	`distribute-rgt-in_binary64_4461`
193×	`unswap-sqr_binary64_4479`
164×	`associate-r_binary64_4451`
158×	`associate-l_binary64_4452`
93×	`*-commutative_binary64_4442`
91×	`swap-sqr_binary64_4478`
88×	`log-prod_binary64_4597`
87×	`cancel-sign-sub-inv_binary64_4477`
79×	`exp-prod_binary64_4563`
78×	`distribute-rgt-neg-in_binary64_4469`
72×	`distribute-lft-neg-in_binary64_4468`
68×	`sqr-pow_binary64_4483`
63×	`associate-/l*_binary64_4456`
61×	`cube-prod_binary64_4539`
57×	`associate-/r*_binary64_4455`
52×	`distribute-lft-in_binary64_4460`
46×	`associate-*r/_binary64_4453`
44×	`associate-*l/_binary64_4454`
41×	`distribute-neg-frac_binary64_4475`
35×	`sub-neg_binary64_4504` `distribute-rgt-out_binary64_4464`
22×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
20×	`+-commutative_binary64_4441`
18×	`pow-sqr_binary64_4484`
16×	`distribute-neg-in_binary64_4472`
15×	`distribute-rgt-out--_binary64_4465`
13×	`distribute-lft-neg-out_binary64_4470`
12×	`log-pow_binary64_4600`
11×	`associate-+l+_binary64_4444`
10×	`distribute-lft-out_binary64_4462`
9×	`cube-unmult_binary64_4548` `associate-/r/_binary64_4457`
6×	`pow-plus_binary64_4574` `rem-sqrt-square_binary64_4524` `unsub-neg_binary64_4505` `associate--r+_binary64_4447` `associate-+r+_binary64_4443`
5×	`unpow3_binary64_4577` `distribute-rgt-neg-out_binary64_4471`
4×	`log-div_binary64_4598` `cube-mult_binary64_4541`
3×	`unpow2_binary64_4576` `unpow1/2_binary64_4575` `unpow1_binary64_4569` `distribute-lft-out--_binary64_4463`
2×	`cube-div_binary64_4540` `associate--l+_binary64_4448` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`
1×	`exp-cbrt_binary64_4565` `1-exp_binary64_4555` `rem-cbrt-cube_binary64_4535`
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` `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-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-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-square-sqrt_binary64_4523` `div-sub_binary64_4516` `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` `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-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `count-2_binary64_4459` `associate-/l/_binary64_4458` `associate--r-_binary64_4450` `associate--l-_binary64_4449`

Counts

118 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	3302
1	451	2897
2	1873	2870
3	5111	2870

prune226.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Error

0.1b

Counts

94 → 9

Compiler

Compiled 4450 to 2642 computations (40.6% saved)

regimes1.4s (9.6%)

Accuracy

Total 1.5b remaining (89.5%)

Threshold costs 0b (0%)

Compiler

Compiled 18754 to 13002 computations (30.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64_4442`
23×	`+-commutative_binary64_4441`
22×	`sub-neg_binary64_4504`
20×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
14×	`distribute-rgt-neg-in_binary64_4469`
13×	`distribute-lft-neg-in_binary64_4468`
3×	`distribute-neg-frac_binary64_4475`
2×	`unsub-neg_binary64_4505` `cancel-sign-sub-inv_binary64_4477` `distribute-neg-in_binary64_4472`
1×	`distribute-lft-neg-out_binary64_4470`
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` `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_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-rgt-neg-out_binary64_4471`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

end0.0ms (0%)

sample3.9s (26%)

Algorithm

1×

intervals

Results

361.0ms	3810×	body	256	valid
261.0ms	8796×	pre	128	true
197.0ms	1429×	body	512	valid
130.0ms	2761×	body	128	valid
34.0ms	796×	body	128	nan

Compiler

Compiled 3650 to 2533 computations (30.6% saved)

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67

Details

analyze537.0ms (3.6%)

sample46.0ms (0.3%)

simplify313.0ms (2.1%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite157.0ms (1%)

series912.0ms (6.1%)

simplify90.0ms (0.6%)

prune146.0ms (1%)

localize32.0ms (0.2%)

rewrite774.0ms (5.2%)

series1.5s (9.9%)

simplify158.0ms (1.1%)

prune481.0ms (3.2%)

localize34.0ms (0.2%)

rewrite627.0ms (4.2%)

series979.0ms (6.5%)

simplify153.0ms (1%)

prune495.0ms (3.3%)

localize29.0ms (0.2%)

rewrite340.0ms (2.3%)

series1.5s (10.3%)

simplify87.0ms (0.6%)

prune226.0ms (1.5%)

regimes1.4s (9.6%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.9s (26%)

Profiling

Iter	Nodes	Cost
0	34	67
1	49	67
2	66	67
3	94	67
4	123	67
5	156	67
6	182	67
7	196	67
8	202	67
9	203	67
10	203	67