Details

analyze326.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample55.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	64×	body	1024	valid
12.0ms	63×	body	1024	invalid
6.0ms	140×	body	128	valid
4.0ms	28×	body	512	valid
3.0ms	27×	body	512	invalid
2.0ms	23×	body	256	valid
1.0ms	15×	body	256	invalid
1.0ms	14×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify1.5s (11%)

Algorithm

1×	egg-herbie

Rules

537×	`div-sub_binary64_4175`
529×	`associate-/l*_binary64_4115`
280×	`associate-/l/_binary64_4117`
248×	`associate-*l/_binary64_4113`
225×	`associate-/r*_binary64_4114`
194×	`associate-/r/_binary64_4116`
177×	`exp-prod_binary64_4222`
161×	`unsub-neg_binary64_4164`
138×	`distribute-rgt-in_binary64_4120`
118×	`cancel-sign-sub-inv_binary64_4136`
112×	`*-commutative_binary64_4101`
100×	`sub-neg_binary64_4163` `distribute-lft-in_binary64_4119`
88×	`neg-sub0_binary64_4165`
84×	`neg-mul-1_binary64_4166`
82×	`distribute-rgt-out_binary64_4123`
80×	`distribute-neg-frac_binary64_4134`
78×	`times-frac_binary64_4176`
67×	`associate-l_binary64_4111`
65×	`associate-r_binary64_4110`
62×	`distribute-lft-neg-out_binary64_4129`
54×	`distribute-rgt-neg-in_binary64_4128` `associate-*r/_binary64_4112`
52×	`distribute-rgt-neg-out_binary64_4130`
47×	`distribute-lft-neg-in_binary64_4127`
36×	`distribute-frac-neg_binary64_4133`
30×	`mul0-rgt_binary64_4153`
26×	`*-lft-identity_binary64_4159` `mul0-lft_binary64_4152`
25×	`div0_binary64_4151`
21×	`distribute-lft-out_binary64_4121`
18×	`+-commutative_binary64_4100`
17×	`*-rgt-identity_binary64_4160`
16×	`/-rgt-identity_binary64_4161`
15×	`exp-sum_binary64_4216`
14×	`sqr-pow_binary64_4142`
12×	`associate-+l-_binary64_4105`
11×	`distribute-neg-in_binary64_4131`
10×	`associate--r+_binary64_4106`
9×	`sub0-neg_binary64_4157` `unswap-sqr_binary64_4138` `distribute-rgt1-in_binary64_4126`
8×	`pow-sqr_binary64_4143`
7×	`pow-plus_binary64_4233` `associate-+r-_binary64_4104`
6×	`exp-diff_binary64_4218` `distribute-rgt-out--_binary64_4124` `associate-+r+_binary64_4102`
5×	`+-rgt-identity_binary64_4155`
4×	`cube-unmult_binary64_4207` `--rgt-identity_binary64_4156`
3×	`exp-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `prod-exp_binary64_4219` `exp-neg_binary64_4217` `cube-prod_binary64_4198` `+-lft-identity_binary64_4154`
2×	`div-exp_binary64_4221` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `*-inverses_binary64_4150` `count-2_binary64_4118` `associate-+l+_binary64_4103`
1×	`sinh-def_binary64_4355` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `cube-div_binary64_4199` `sqr-neg_binary64_4184` `rem-sqrt-square_binary64_4183` `cancel-sign-sub_binary64_4135` `associate--r-_binary64_4109`
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_4433` `erf-erfc_binary64_4432` `erf-odd_binary64_4431` `if-if-and-not_binary64_4430` `if-if-and_binary64_4429` `if-if-or-not_binary64_4428` `if-if-or_binary64_4427` `if-not_binary64_4426` `if-same_binary64_4425` `if-false_binary64_4424` `if-true_binary64_4423` `not-gte_binary64_4422` `not-lte_binary64_4421` `not-gt_binary64_4420` `not-lt_binary64_4419` `gte-same_binary64_4418` `lte-same_binary64_4417` `gt-same_binary64_4416` `lt-same_binary64_4415` `sinh---cosh_binary64_4362` `sinh-+-cosh_binary64_4361` `sinh-cosh_binary64_4360` `tanh-def-c_binary64_4359` `tanh-def-b_binary64_4358` `tanh-def-a_binary64_4357` `cosh-def_binary64_4356` `tan-neg_binary64_4302` `cos-neg_binary64_4301` `sin-neg_binary64_4300` `tan-0_binary64_4299` `cos-0_binary64_4298` `sin-0_binary64_4297` `hang-m-tan_binary64_4296` `hang-p-tan_binary64_4295` `hang-m0-tan_binary64_4294` `hang-p0-tan_binary64_4293` `hang-0m-tan_binary64_4292` `hang-0p-tan_binary64_4291` `tan-+PI/2_binary64_4290` `tan-+PI_binary64_4289` `tan-PI_binary64_4288` `tan-PI/3_binary64_4287` `tan-PI/4_binary64_4286` `tan-PI/6_binary64_4285` `cos-+PI/2_binary64_4284` `cos-+PI_binary64_4283` `cos-PI_binary64_4282` `cos-PI/2_binary64_4281` `cos-PI/3_binary64_4280` `cos-PI/4_binary64_4279` `cos-PI/6_binary64_4278` `sin-+PI/2_binary64_4277` `sin-+PI_binary64_4276` `sin-PI_binary64_4275` `sin-PI/2_binary64_4274` `sin-PI/3_binary64_4273` `sin-PI/4_binary64_4272` `sin-PI/6_binary64_4271` `sub-1-sin_binary64_4270` `sub-1-cos_binary64_4269` `-1-add-sin_binary64_4268` `-1-add-cos_binary64_4267` `1-sub-sin_binary64_4266` `1-sub-cos_binary64_4265` `cos-sin-sum_binary64_4264` `log-E_binary64_4260` `log-pow_binary64_4259` `log-rec_binary64_4258` `log-div_binary64_4257` `log-prod_binary64_4256` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow3_binary64_4236` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow1_binary64_4228` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `rec-exp_binary64_4220` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-log-exp_binary64_4211` `rem-exp-log_binary64_4210` `cube-mult_binary64_4200` `cube-neg_binary64_4197` `rem-3cbrt-rft_binary64_4196` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `rem-square-sqrt_binary64_4182` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `swap-sqr_binary64_4137` `distribute-neg-out_binary64_4132` `distribute-lft1-in_binary64_4125` `distribute-lft-out--_binary64_4122` `associate--l-_binary64_4108` `associate--l+_binary64_4107`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	162	11
5	368	11
6	1097	11
7	2976	1
8	28	1

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 8 to 9 computations (-12.5% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(sinh.f64 y)

rewrite68.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_4192`
19×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170` `times-frac_binary64_4176`
13×	`associate-r_binary64_4110`
10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
5×	`pow1_binary64_4231`
3×	`add-log-exp_binary64_4209` `associate-/l_binary64_4115` `associate-/r_binary64_4114` `associate-l_binary64_4111`
2×	`sinh-def_binary64_4355` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `div-inv_binary64_4167` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `associate-/l/_binary64_4117` `pow-prod-down_binary64_4241` `associate-r/_binary64_4112` `-commutative_binary64_4101`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 236 computations (74.9% saved)

series559.0ms (4%)

Error

0.0b

Counts

3 → 23

Calls

3 calls:

354.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
109.0ms	(/.f64 (sinh.f64 y) y)
68.0ms	(sinh.f64 y)

Compiler

Compiled 1020 to 720 computations (29.4% saved)

simplify238.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-/l*_binary64_4115`
415×	`associate-*l/_binary64_4113`
400×	`associate-*r/_binary64_4112`
323×	`times-frac_binary64_4176`
320×	`div-sub_binary64_4175`
231×	`associate-/l/_binary64_4117`
219×	`*-commutative_binary64_4101`
175×	`associate-/r/_binary64_4116`
150×	`associate-/r*_binary64_4114`
115×	`associate-r_binary64_4110`
107×	`associate-l_binary64_4111`
102×	`associate-+l+_binary64_4103`
88×	`+-commutative_binary64_4100`
81×	`cancel-sign-sub-inv_binary64_4136`
65×	`log-div_binary64_4257`
64×	`sub-neg_binary64_4163`
63×	`associate-+r+_binary64_4102`
55×	`cube-div_binary64_4199`
52×	`associate--r+_binary64_4106`
50×	`associate--l+_binary64_4107`
49×	`distribute-neg-frac_binary64_4134` `distribute-rgt-neg-in_binary64_4128`
47×	`log-prod_binary64_4256`
45×	`exp-prod_binary64_4222`
43×	`sqr-pow_binary64_4142`
36×	`cube-prod_binary64_4198`
35×	`neg-sub0_binary64_4165` `distribute-rgt-in_binary64_4120`
32×	`neg-mul-1_binary64_4166`
30×	`distribute-lft-neg-in_binary64_4127` `associate-+l-_binary64_4105`
27×	`distribute-lft-in_binary64_4119`
25×	`prod-exp_binary64_4219` `-rgt-identity_binary64_4160` `-lft-identity_binary64_4159`
23×	`unswap-sqr_binary64_4138`
22×	`exp-sqrt_binary64_4223`
19×	`distribute-lft-neg-out_binary64_4129` `associate-+r-_binary64_4104`
18×	`div-exp_binary64_4221` `pow-sqr_binary64_4143` `distribute-neg-in_binary64_4131`
10×	`log-rec_binary64_4258` `exp-diff_binary64_4218` `distribute-rgt-out--_binary64_4124` `distribute-rgt-out_binary64_4123`
9×	`/-rgt-identity_binary64_4161`
8×	`unpow3_binary64_4236` `pow-plus_binary64_4233` `exp-sum_binary64_4216` `unsub-neg_binary64_4164`
7×	`cube-mult_binary64_4200` `associate--l-_binary64_4108`
6×	`exp-lft-sqr_binary64_4225` `rec-exp_binary64_4220` `mul-1-neg_binary64_4162`
5×	`cube-unmult_binary64_4207` `swap-sqr_binary64_4137`
4×	`distribute-lft-out--_binary64_4122` `associate--r-_binary64_4109`
3×	`log-pow_binary64_4259` `distribute-rgt1-in_binary64_4126`
2×	`unpow2_binary64_4235` `unpow1_binary64_4228`
1×	`sinh-def_binary64_4355` `exp-neg_binary64_4217` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-log-exp_binary64_4211` `rem-sqrt-square_binary64_4183` `*-inverses_binary64_4150` `distribute-rgt-neg-out_binary64_4130`
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_4433` `erf-erfc_binary64_4432` `erf-odd_binary64_4431` `if-if-and-not_binary64_4430` `if-if-and_binary64_4429` `if-if-or-not_binary64_4428` `if-if-or_binary64_4427` `if-not_binary64_4426` `if-same_binary64_4425` `if-false_binary64_4424` `if-true_binary64_4423` `not-gte_binary64_4422` `not-lte_binary64_4421` `not-gt_binary64_4420` `not-lt_binary64_4419` `gte-same_binary64_4418` `lte-same_binary64_4417` `gt-same_binary64_4416` `lt-same_binary64_4415` `sinh---cosh_binary64_4362` `sinh-+-cosh_binary64_4361` `sinh-cosh_binary64_4360` `tanh-def-c_binary64_4359` `tanh-def-b_binary64_4358` `tanh-def-a_binary64_4357` `cosh-def_binary64_4356` `tan-neg_binary64_4302` `cos-neg_binary64_4301` `sin-neg_binary64_4300` `tan-0_binary64_4299` `cos-0_binary64_4298` `sin-0_binary64_4297` `hang-m-tan_binary64_4296` `hang-p-tan_binary64_4295` `hang-m0-tan_binary64_4294` `hang-p0-tan_binary64_4293` `hang-0m-tan_binary64_4292` `hang-0p-tan_binary64_4291` `tan-+PI/2_binary64_4290` `tan-+PI_binary64_4289` `tan-PI_binary64_4288` `tan-PI/3_binary64_4287` `tan-PI/4_binary64_4286` `tan-PI/6_binary64_4285` `cos-+PI/2_binary64_4284` `cos-+PI_binary64_4283` `cos-PI_binary64_4282` `cos-PI/2_binary64_4281` `cos-PI/3_binary64_4280` `cos-PI/4_binary64_4279` `cos-PI/6_binary64_4278` `sin-+PI/2_binary64_4277` `sin-+PI_binary64_4276` `sin-PI_binary64_4275` `sin-PI/2_binary64_4274` `sin-PI/3_binary64_4273` `sin-PI/4_binary64_4272` `sin-PI/6_binary64_4271` `sub-1-sin_binary64_4270` `sub-1-cos_binary64_4269` `-1-add-sin_binary64_4268` `-1-add-cos_binary64_4267` `1-sub-sin_binary64_4266` `1-sub-cos_binary64_4265` `cos-sin-sum_binary64_4264` `log-E_binary64_4260` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-exp-log_binary64_4210` `cube-neg_binary64_4197` `rem-3cbrt-rft_binary64_4196` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `rem-square-sqrt_binary64_4182` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `--rgt-identity_binary64_4156` `+-rgt-identity_binary64_4155` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `distribute-lft1-in_binary64_4125` `distribute-lft-out_binary64_4121` `count-2_binary64_4118`

Counts

91 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1469
1	453	1361
2	1488	1299
3	4394	1299

prune107.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1942 to 685 computations (64.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (cos.f64 x) (/.f64 (/.f64 y (sinh.f64 y)) 2))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(sinh.f64 y)

rewrite354.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

423×	`times-frac_binary64_4176`
202×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
49×	`associate-/r*_binary64_4114`
18×	`div-inv_binary64_4167`
14×	`sinh-def_binary64_4355` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate-/r/_binary64_4116`
7×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204`
6×	`associate-/l*_binary64_4115`
3×	`pow1_binary64_4231` `add-log-exp_binary64_4209`
2×	`frac-2neg_binary64_4181` `clear-num_binary64_4169`

Counts

3 → 240

Calls

3 calls:

15.0ms	(/.f64 (cos.f64 x) (/.f64 (/.f64 y (sinh.f64 y)) 2))
4.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 6005 to 2719 computations (54.7% saved)

series670.0ms (4.8%)

Error

Counts

3 → 23

Calls

3 calls:

412.0ms	(/.f64 (cos.f64 x) (/.f64 (/.f64 y (sinh.f64 y)) 2))
161.0ms	(/.f64 y (sinh.f64 y))
69.0ms	(sinh.f64 y)

Compiler

Compiled 1136 to 836 computations (26.4% saved)

simplify616.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-/r/_binary64_4116`
642×	`associate-/l/_binary64_4117`
547×	`associate-/l*_binary64_4115`
329×	`associate-*l/_binary64_4113`
324×	`*-commutative_binary64_4101`
274×	`associate-*r/_binary64_4112`
156×	`associate-r_binary64_4110`
126×	`associate-/r*_binary64_4114`
108×	`times-frac_binary64_4176`
92×	`associate-l_binary64_4111`
30×	`sub-neg_binary64_4163`
22×	`associate-+l+_binary64_4103`
20×	`neg-sub0_binary64_4165` `cancel-sign-sub-inv_binary64_4136` `associate-+r+_binary64_4102`
19×	`neg-mul-1_binary64_4166` `associate--l+_binary64_4107`
18×	`/-rgt-identity_binary64_4161` `associate--r+_binary64_4106`
17×	`sqr-pow_binary64_4142`
14×	`+-commutative_binary64_4100`
10×	`distribute-rgt-neg-in_binary64_4128`
8×	`remove-double-div_binary64_4146` `pow-sqr_binary64_4143` `distribute-neg-in_binary64_4131`
7×	`log-div_binary64_4257` `cube-unmult_binary64_4207` `distribute-neg-frac_binary64_4134`
6×	`unswap-sqr_binary64_4138` `distribute-lft-neg-in_binary64_4127`
4×	`div-sub_binary64_4175` `distribute-lft-neg-out_binary64_4129` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`
3×	`log-prod_binary64_4256` `exp-prod_binary64_4222` `*-lft-identity_binary64_4159` `swap-sqr_binary64_4137` `associate--r-_binary64_4109`
2×	`unpow2_binary64_4235` `unpow1_binary64_4228` `mul-1-neg_binary64_4162` `*-rgt-identity_binary64_4160` `distribute-rgt-out--_binary64_4124`
1×	`sinh-def_binary64_4355` `unpow3_binary64_4236` `pow-plus_binary64_4233` `exp-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `exp-neg_binary64_4217` `1-exp_binary64_4214` `cube-mult_binary64_4200` `cube-div_binary64_4199` `*-inverses_binary64_4150` `distribute-rgt-out_binary64_4123` `distribute-lft-out--_binary64_4122` `associate--l-_binary64_4108` `associate-+l-_binary64_4105`
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_4433` `erf-erfc_binary64_4432` `erf-odd_binary64_4431` `if-if-and-not_binary64_4430` `if-if-and_binary64_4429` `if-if-or-not_binary64_4428` `if-if-or_binary64_4427` `if-not_binary64_4426` `if-same_binary64_4425` `if-false_binary64_4424` `if-true_binary64_4423` `not-gte_binary64_4422` `not-lte_binary64_4421` `not-gt_binary64_4420` `not-lt_binary64_4419` `gte-same_binary64_4418` `lte-same_binary64_4417` `gt-same_binary64_4416` `lt-same_binary64_4415` `sinh---cosh_binary64_4362` `sinh-+-cosh_binary64_4361` `sinh-cosh_binary64_4360` `tanh-def-c_binary64_4359` `tanh-def-b_binary64_4358` `tanh-def-a_binary64_4357` `cosh-def_binary64_4356` `tan-neg_binary64_4302` `cos-neg_binary64_4301` `sin-neg_binary64_4300` `tan-0_binary64_4299` `cos-0_binary64_4298` `sin-0_binary64_4297` `hang-m-tan_binary64_4296` `hang-p-tan_binary64_4295` `hang-m0-tan_binary64_4294` `hang-p0-tan_binary64_4293` `hang-0m-tan_binary64_4292` `hang-0p-tan_binary64_4291` `tan-+PI/2_binary64_4290` `tan-+PI_binary64_4289` `tan-PI_binary64_4288` `tan-PI/3_binary64_4287` `tan-PI/4_binary64_4286` `tan-PI/6_binary64_4285` `cos-+PI/2_binary64_4284` `cos-+PI_binary64_4283` `cos-PI_binary64_4282` `cos-PI/2_binary64_4281` `cos-PI/3_binary64_4280` `cos-PI/4_binary64_4279` `cos-PI/6_binary64_4278` `sin-+PI/2_binary64_4277` `sin-+PI_binary64_4276` `sin-PI_binary64_4275` `sin-PI/2_binary64_4274` `sin-PI/3_binary64_4273` `sin-PI/4_binary64_4272` `sin-PI/6_binary64_4271` `sub-1-sin_binary64_4270` `sub-1-cos_binary64_4269` `-1-add-sin_binary64_4268` `-1-add-cos_binary64_4267` `1-sub-sin_binary64_4266` `1-sub-cos_binary64_4265` `cos-sin-sum_binary64_4264` `log-E_binary64_4260` `log-pow_binary64_4259` `log-rec_binary64_4258` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `exp-diff_binary64_4218` `exp-sum_binary64_4216` `e-exp-1_binary64_4215` `exp-1-e_binary64_4213` `exp-0_binary64_4212` `rem-log-exp_binary64_4211` `rem-exp-log_binary64_4210` `cube-prod_binary64_4198` `cube-neg_binary64_4197` `rem-3cbrt-rft_binary64_4196` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `rem-sqrt-square_binary64_4183` `rem-square-sqrt_binary64_4182` `unsub-neg_binary64_4164` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `--rgt-identity_binary64_4156` `+-rgt-identity_binary64_4155` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `distribute-rgt-neg-out_binary64_4130` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `distribute-lft-out_binary64_4121` `count-2_binary64_4118` `associate-+r-_binary64_4104`

Counts

263 → 1102

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	7778
1	1292	7334

prune1.8s (13.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1102	0	1102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	1102	3	1105

Error

Counts

1105 → 3

Compiler

Compiled 29390 to 11852 computations (59.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(*.f64 (cos.f64 x) (/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2)))
0.0b	(sinh.f64 y)

rewrite742.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

774×	`times-frac_binary64_4176`
373×	`add-sqr-sqrt_binary64_4192`
359×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
143×	`associate-r_binary64_4110`
49×	`associate-/r*_binary64_4114`
31×	`div-inv_binary64_4167`
29×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
24×	`associate-/r/_binary64_4116`
23×	`sinh-def_binary64_4355`
13×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204`
6×	`pow1_binary64_4231` `associate-/l*_binary64_4115`
4×	`add-log-exp_binary64_4209` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138`
3×	`associate-l_binary64_4111`
2×	`frac-2neg_binary64_4181` `clear-num_binary64_4169`
1×	`pow-prod-down_binary64_4241` `associate-r/_binary64_4112` `-commutative_binary64_4101`

Counts

4 → 408

Calls

4 calls:

45.0ms	(*.f64 (cos.f64 x) (/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2)))
14.0ms	(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 10310 to 5625 computations (45.4% saved)

series673.0ms (4.8%)

Error

Counts

4 → 29

Calls

4 calls:

333.0ms	(*.f64 (cos.f64 x) (/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2)))
152.0ms	(/.f64 y (sinh.f64 y))
100.0ms	(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) 2))
60.0ms	(sinh.f64 y)

Compiler

Compiled 1329 to 991 computations (25.4% saved)

simplify720.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

809×	`associate-/l*_binary64_4115`
759×	`associate-/l/_binary64_4117`
545×	`associate-*l/_binary64_4113`
279×	`associate-/r/_binary64_4116`
179×	`*-commutative_binary64_4101`
152×	`associate-*r/_binary64_4112`
143×	`associate-/r*_binary64_4114`
140×	`times-frac_binary64_4176`
37×	`sub-neg_binary64_4163`
35×	`cancel-sign-sub-inv_binary64_4136`
20×	`neg-sub0_binary64_4165`
19×	`+-commutative_binary64_4100`
18×	`neg-mul-1_binary64_4166` `sqr-pow_binary64_4142`
17×	`/-rgt-identity_binary64_4161`
15×	`distribute-rgt-neg-in_binary64_4128`
13×	`associate-l_binary64_4111`
10×	`distribute-lft-neg-in_binary64_4127` `associate-r_binary64_4110` `associate-+r+_binary64_4102`
9×	`log-div_binary64_4257` `cube-unmult_binary64_4207`
8×	`remove-double-div_binary64_4146` `pow-sqr_binary64_4143` `distribute-neg-in_binary64_4131`
7×	`exp-prod_binary64_4222` `swap-sqr_binary64_4137` `distribute-neg-frac_binary64_4134`
6×	`log-prod_binary64_4256` `div-sub_binary64_4175` `unswap-sqr_binary64_4138` `distribute-lft-in_binary64_4119`
5×	`distribute-lft-neg-out_binary64_4129` `distribute-rgt-out--_binary64_4124` `distribute-rgt-in_binary64_4120`
4×	`mul-1-neg_binary64_4162` `distribute-lft-out--_binary64_4122` `associate--l+_binary64_4107`
3×	`-rgt-identity_binary64_4160` `-lft-identity_binary64_4159` `associate--r+_binary64_4106`
2×	`unpow2_binary64_4235` `unpow1_binary64_4228`
1×	`sinh-def_binary64_4355` `unpow3_binary64_4236` `pow-plus_binary64_4233` `exp-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `exp-neg_binary64_4217` `1-exp_binary64_4214` `cube-mult_binary64_4200` `cube-div_binary64_4199` `*-inverses_binary64_4150` `associate--r-_binary64_4109` `associate--l-_binary64_4108` `associate-+r-_binary64_4104`
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_4433` `erf-erfc_binary64_4432` `erf-odd_binary64_4431` `if-if-and-not_binary64_4430` `if-if-and_binary64_4429` `if-if-or-not_binary64_4428` `if-if-or_binary64_4427` `if-not_binary64_4426` `if-same_binary64_4425` `if-false_binary64_4424` `if-true_binary64_4423` `not-gte_binary64_4422` `not-lte_binary64_4421` `not-gt_binary64_4420` `not-lt_binary64_4419` `gte-same_binary64_4418` `lte-same_binary64_4417` `gt-same_binary64_4416` `lt-same_binary64_4415` `sinh---cosh_binary64_4362` `sinh-+-cosh_binary64_4361` `sinh-cosh_binary64_4360` `tanh-def-c_binary64_4359` `tanh-def-b_binary64_4358` `tanh-def-a_binary64_4357` `cosh-def_binary64_4356` `tan-neg_binary64_4302` `cos-neg_binary64_4301` `sin-neg_binary64_4300` `tan-0_binary64_4299` `cos-0_binary64_4298` `sin-0_binary64_4297` `hang-m-tan_binary64_4296` `hang-p-tan_binary64_4295` `hang-m0-tan_binary64_4294` `hang-p0-tan_binary64_4293` `hang-0m-tan_binary64_4292` `hang-0p-tan_binary64_4291` `tan-+PI/2_binary64_4290` `tan-+PI_binary64_4289` `tan-PI_binary64_4288` `tan-PI/3_binary64_4287` `tan-PI/4_binary64_4286` `tan-PI/6_binary64_4285` `cos-+PI/2_binary64_4284` `cos-+PI_binary64_4283` `cos-PI_binary64_4282` `cos-PI/2_binary64_4281` `cos-PI/3_binary64_4280` `cos-PI/4_binary64_4279` `cos-PI/6_binary64_4278` `sin-+PI/2_binary64_4277` `sin-+PI_binary64_4276` `sin-PI_binary64_4275` `sin-PI/2_binary64_4274` `sin-PI/3_binary64_4273` `sin-PI/4_binary64_4272` `sin-PI/6_binary64_4271` `sub-1-sin_binary64_4270` `sub-1-cos_binary64_4269` `-1-add-sin_binary64_4268` `-1-add-cos_binary64_4267` `1-sub-sin_binary64_4266` `1-sub-cos_binary64_4265` `cos-sin-sum_binary64_4264` `log-E_binary64_4260` `log-pow_binary64_4259` `log-rec_binary64_4258` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `exp-diff_binary64_4218` `exp-sum_binary64_4216` `e-exp-1_binary64_4215` `exp-1-e_binary64_4213` `exp-0_binary64_4212` `rem-log-exp_binary64_4211` `rem-exp-log_binary64_4210` `cube-prod_binary64_4198` `cube-neg_binary64_4197` `rem-3cbrt-rft_binary64_4196` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `rem-sqrt-square_binary64_4183` `rem-square-sqrt_binary64_4182` `unsub-neg_binary64_4164` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `--rgt-identity_binary64_4156` `+-rgt-identity_binary64_4155` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `distribute-rgt-neg-out_binary64_4130` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `distribute-rgt-out_binary64_4123` `distribute-lft-out_binary64_4121` `count-2_binary64_4118` `associate-+l-_binary64_4105` `associate-+l+_binary64_4103`

Counts

437 → 1093

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	757	11339
1	1806	10930

prune2.2s (16%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1093	0	1093
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	1093	3	1096

Error

Counts

1096 → 3

Compiler

Compiled 28457 to 15347 computations (46.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`add-sqr-sqrt_binary64_4192`
6×	`associate-l_binary64_4111`
5×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-r_binary64_4110`
2×	`add-log-exp_binary64_4209` `unswap-sqr_binary64_4138` `-commutative_binary64_4101` `associate-r/_binary64_4112`
1×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144`

Counts

2 → 41

Calls

2 calls:

6.0ms	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
6.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 717 to 412 computations (42.5% saved)

series270.0ms (1.9%)

Error

Counts

2 → 15

Calls

2 calls:

217.0ms	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
38.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 533 to 451 computations (15.4% saved)

simplify211.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

887×	`associate-*l/_binary64_4113`
571×	`cancel-sign-sub-inv_binary64_4136`
272×	`sub-neg_binary64_4163`
237×	`unswap-sqr_binary64_4138` `*-commutative_binary64_4101`
211×	`distribute-rgt-in_binary64_4120`
197×	`distribute-lft-in_binary64_4119`
184×	`times-frac_binary64_4176`
151×	`distribute-rgt-out_binary64_4123`
148×	`associate-r_binary64_4110`
145×	`associate-l_binary64_4111`
139×	`associate-+l+_binary64_4103`
132×	`distribute-rgt-neg-in_binary64_4128`
120×	`associate--l+_binary64_4107`
119×	`distribute-lft-neg-in_binary64_4127`
114×	`associate--r+_binary64_4106`
104×	`sqr-pow_binary64_4142`
103×	`associate-/r*_binary64_4114`
88×	`associate-/l*_binary64_4115`
83×	`associate-/r/_binary64_4116`
82×	`associate-+r+_binary64_4102`
67×	`+-commutative_binary64_4100`
63×	`exp-prod_binary64_4222`
54×	`pow-sqr_binary64_4143`
49×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
48×	`distribute-neg-in_binary64_4131`
43×	`unsub-neg_binary64_4164`
34×	`associate-/l/_binary64_4117`
33×	`associate-*r/_binary64_4112`
32×	`log-prod_binary64_4256` `*-lft-identity_binary64_4159`
31×	`*-rgt-identity_binary64_4160`
28×	`pow-plus_binary64_4233`
25×	`swap-sqr_binary64_4137`
20×	`exp-sqrt_binary64_4223`
19×	`log-pow_binary64_4259` `cube-prod_binary64_4198`
17×	`distribute-lft-neg-out_binary64_4129` `associate-+l-_binary64_4105`
15×	`log-div_binary64_4257` `cube-div_binary64_4199`
12×	`associate-+r-_binary64_4104`
11×	`distribute-rgt-out--_binary64_4124`
10×	`distribute-rgt1-in_binary64_4126`
8×	`unpow3_binary64_4236` `exp-sum_binary64_4216`
7×	`distribute-lft-out_binary64_4121`
6×	`pow-base-1_binary64_4230` `+-rgt-identity_binary64_4155` `distribute-neg-frac_binary64_4134`
5×	`cube-unmult_binary64_4207` `distribute-lft1-in_binary64_4125`
4×	`prod-exp_binary64_4219` `cube-mult_binary64_4200` `sub0-neg_binary64_4157` `distribute-rgt-neg-out_binary64_4130` `count-2_binary64_4118`
3×	`associate--l-_binary64_4108`
2×	`unpow2_binary64_4235` `unpow1_binary64_4228`
1×	`exp-lft-sqr_binary64_4225` `exp-diff_binary64_4218` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-log-exp_binary64_4211` `/-rgt-identity_binary64_4161` `*-inverses_binary64_4150` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `cancel-sign-sub_binary64_4135` `distribute-lft-out--_binary64_4122`
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_4433` `erf-erfc_binary64_4432` `erf-odd_binary64_4431` `if-if-and-not_binary64_4430` `if-if-and_binary64_4429` `if-if-or-not_binary64_4428` `if-if-or_binary64_4427` `if-not_binary64_4426` `if-same_binary64_4425` `if-false_binary64_4424` `if-true_binary64_4423` `not-gte_binary64_4422` `not-lte_binary64_4421` `not-gt_binary64_4420` `not-lt_binary64_4419` `gte-same_binary64_4418` `lte-same_binary64_4417` `gt-same_binary64_4416` `lt-same_binary64_4415` `sinh---cosh_binary64_4362` `sinh-+-cosh_binary64_4361` `sinh-cosh_binary64_4360` `tanh-def-c_binary64_4359` `tanh-def-b_binary64_4358` `tanh-def-a_binary64_4357` `cosh-def_binary64_4356` `sinh-def_binary64_4355` `tan-neg_binary64_4302` `cos-neg_binary64_4301` `sin-neg_binary64_4300` `tan-0_binary64_4299` `cos-0_binary64_4298` `sin-0_binary64_4297` `hang-m-tan_binary64_4296` `hang-p-tan_binary64_4295` `hang-m0-tan_binary64_4294` `hang-p0-tan_binary64_4293` `hang-0m-tan_binary64_4292` `hang-0p-tan_binary64_4291` `tan-+PI/2_binary64_4290` `tan-+PI_binary64_4289` `tan-PI_binary64_4288` `tan-PI/3_binary64_4287` `tan-PI/4_binary64_4286` `tan-PI/6_binary64_4285` `cos-+PI/2_binary64_4284` `cos-+PI_binary64_4283` `cos-PI_binary64_4282` `cos-PI/2_binary64_4281` `cos-PI/3_binary64_4280` `cos-PI/4_binary64_4279` `cos-PI/6_binary64_4278` `sin-+PI/2_binary64_4277` `sin-+PI_binary64_4276` `sin-PI_binary64_4275` `sin-PI/2_binary64_4274` `sin-PI/3_binary64_4273` `sin-PI/4_binary64_4272` `sin-PI/6_binary64_4271` `sub-1-sin_binary64_4270` `sub-1-cos_binary64_4269` `-1-add-sin_binary64_4268` `-1-add-cos_binary64_4267` `1-sub-sin_binary64_4266` `1-sub-cos_binary64_4265` `cos-sin-sum_binary64_4264` `log-E_binary64_4260` `log-rec_binary64_4258` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `div-exp_binary64_4221` `rec-exp_binary64_4220` `exp-neg_binary64_4217` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-exp-log_binary64_4210` `cube-neg_binary64_4197` `rem-3cbrt-rft_binary64_4196` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `rem-sqrt-square_binary64_4183` `rem-square-sqrt_binary64_4182` `div-sub_binary64_4175` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `--rgt-identity_binary64_4156` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `associate--r-_binary64_4109`

Counts

56 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	936
1	284	859
2	1059	835
3	2612	835

prune81.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Error

Counts

81 → 3

Compiler

Compiled 1462 to 819 computations (44% saved)

regimes237.0ms (1.7%)

Accuracy

Total 0.0b remaining (85.9%)

Threshold costs 0.0b (85.9%)

Compiler

Compiled 1712 to 1356 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_4101

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_4430 if-if-and_binary64_4429 if-if-or-not_binary64_4428 if-if-or_binary64_4427 if-not_binary64_4426 if-same_binary64_4425 if-false_binary64_4424 if-true_binary64_4423 tan-0_binary64_4299 cos-0_binary64_4298 sin-0_binary64_4297 unpow1_binary64_4228 e-exp-1_binary64_4215 1-exp_binary64_4214 exp-1-e_binary64_4213 exp-0_binary64_4212 sqr-abs_binary64_4185 sqr-neg_binary64_4184 neg-mul-1_binary64_4166 neg-sub0_binary64_4165 unsub-neg_binary64_4164 sub-neg_binary64_4163 mul-1-neg_binary64_4162 /-rgt-identity_binary64_4161 *-rgt-identity_binary64_4160 *-lft-identity_binary64_4159 remove-double-neg_binary64_4158 sub0-neg_binary64_4157 --rgt-identity_binary64_4156 +-rgt-identity_binary64_4155 +-lft-identity_binary64_4154 cancel-sign-sub-inv_binary64_4136 cancel-sign-sub_binary64_4135 distribute-neg-frac_binary64_4134 distribute-frac-neg_binary64_4133 distribute-neg-out_binary64_4132 distribute-neg-in_binary64_4131 distribute-rgt-neg-out_binary64_4130 distribute-lft-neg-out_binary64_4129 distribute-rgt-neg-in_binary64_4128 distribute-lft-neg-in_binary64_4127 +-commutative_binary64_4100

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	12	17

Proof

(* f64 1/2 (/ f64 (cos f64 h0) (/ f64 (/ f64 h1 (sinh f64 h1)) 2)))

end0.0ms (0%)

sample2.3s (16.7%)

Algorithm

1×

intervals

Results

382.0ms	1991×	body	1024	valid
356.0ms	2003×	body	1024	invalid
255.0ms	493×	body	256	invalid
205.0ms	4472×	body	128	valid
140.0ms	1042×	body	512	valid
119.0ms	971×	body	512	invalid
42.0ms	490×	body	256	valid
34.0ms	666×	body	128	invalid
2.0ms	5×	body	2048	valid

Compiler

Compiled 321 to 259 computations (19.3% saved)

Details

analyze326.0ms (2.3%)

sample55.0ms (0.4%)

simplify1.5s (11%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite68.0ms (0.5%)

series559.0ms (4%)

simplify238.0ms (1.7%)

prune107.0ms (0.8%)

localize8.0ms (0.1%)

rewrite354.0ms (2.5%)

series670.0ms (4.8%)

simplify616.0ms (4.4%)

prune1.8s (13.2%)

localize10.0ms (0.1%)

rewrite742.0ms (5.3%)

series673.0ms (4.8%)

simplify720.0ms (5.2%)

prune2.2s (16%)

localize7.0ms (0%)

rewrite51.0ms (0.4%)

series270.0ms (1.9%)

simplify211.0ms (1.5%)

prune81.0ms (0.6%)

regimes237.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (16.7%)

Profiling