Details

analyze327.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	244×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify551.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

703×	`exp-prod_binary64_4222`
516×	`exp-sum_binary64_4216`
505×	`sqr-pow_binary64_4142`
391×	`pow-sqr_binary64_4143`
364×	`distribute-rgt-in_binary64_4120`
272×	`pow-plus_binary64_4233`
248×	`associate-+l+_binary64_4103`
195×	`associate-/r*_binary64_4114`
177×	`associate-/l/_binary64_4117`
163×	`distribute-rgt1-in_binary64_4126`
150×	`*-commutative_binary64_4101`
142×	`associate-l_binary64_4111`
139×	`distribute-rgt-out_binary64_4123`
132×	`associate-+r+_binary64_4102`
121×	`associate-r_binary64_4110`
113×	`pow-base-1_binary64_4230`
106×	`unswap-sqr_binary64_4138`
93×	`distribute-lft-in_binary64_4119`
92×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
91×	`cancel-sign-sub-inv_binary64_4136` `distribute-lft-neg-in_binary64_4127`
81×	`distribute-lft-out_binary64_4121`
72×	`rem-sqrt-square_binary64_4183`
68×	`times-frac_binary64_4176`
67×	`+-commutative_binary64_4100`
61×	`distribute-rgt-neg-in_binary64_4128`
28×	`cube-unmult_binary64_4207`
26×	`swap-sqr_binary64_4137` `associate-/l*_binary64_4115`
23×	`count-2_binary64_4118`
20×	`associate-/r/_binary64_4116`
19×	`*-lft-identity_binary64_4159` `distribute-lft1-in_binary64_4125`
18×	`/-rgt-identity_binary64_4161` `*-rgt-identity_binary64_4160`
13×	`cube-prod_binary64_4198`
12×	`exp-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `prod-exp_binary64_4219`
10×	`distribute-neg-frac_binary64_4134`
9×	`div-exp_binary64_4221`
4×	`cube-div_binary64_4199`
3×	`rec-exp_binary64_4220`
1×	`unpow3_binary64_4236` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `sub-neg_binary64_4163` `--rgt-identity_binary64_4156` `+-rgt-identity_binary64_4155` `div0_binary64_4151` `-inverses_binary64_4150` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `associate-r/_binary64_4112`
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-pow_binary64_4259` `log-rec_binary64_4258` `log-div_binary64_4257` `log-prod_binary64_4256` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `unpow0_binary64_4229` `unpow1_binary64_4228` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `exp-diff_binary64_4218` `exp-neg_binary64_4217` `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` `sqr-neg_binary64_4184` `rem-square-sqrt_binary64_4182` `div-sub_binary64_4175` `unsub-neg_binary64_4164` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `+-inverses_binary64_4149` `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-neg-in_binary64_4131` `distribute-rgt-neg-out_binary64_4130` `distribute-lft-neg-out_binary64_4129` `distribute-rgt-out--_binary64_4124` `distribute-lft-out--_binary64_4122` `associate-*l/_binary64_4113` `associate--r-_binary64_4109` `associate--l-_binary64_4108` `associate--l+_binary64_4107` `associate--r+_binary64_4106` `associate-+l-_binary64_4105` `associate-+r-_binary64_4104`

Counts

1 → 3

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	13
2	58	13
3	123	13
4	147	13
5	153	13
6	159	13
7	155	13
8	173	13
9	167	13
10	183	13
11	202	13
12	287	13
13	896	13
14	1870	13
15	3433	13

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.1b

Counts

4 → 2

Compiler

Compiled 49 to 33 computations (32.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 2 (+.f64 x y)) z)
0.0b	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_4209`
4×	`sum-log_binary64_4261` `*-un-lft-identity_binary64_4170`
2×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100` `associate-+l+_binary64_4103`
1×	`distribute-lft-out_binary64_4121` `associate-+r+_binary64_4102` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`

Counts

2 → 27

Calls

2 calls:

10.0ms	(+.f64 (*.f64 2 (+.f64 x y)) z)
8.0ms	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))

Compiler

Compiled 475 to 252 computations (46.9% saved)

series385.0ms (4.9%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

181.0ms	(+.f64 (*.f64 2 (+.f64 x y)) z)
180.0ms	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))

Compiler

Compiled 700 to 609 computations (13% saved)

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-rgt-in_binary64_4120`
467×	`distribute-lft-in_binary64_4119`
425×	`associate--r+_binary64_4106`
371×	`associate--l+_binary64_4107`
319×	`cancel-sign-sub-inv_binary64_4136`
202×	`distribute-neg-in_binary64_4131`
175×	`associate-l_binary64_4111`
154×	`associate-+l+_binary64_4103`
147×	`distribute-rgt-out_binary64_4123` `associate-r_binary64_4110`
146×	`sub-neg_binary64_4163`
145×	`associate-+l-_binary64_4105`
129×	`associate-+r+_binary64_4102`
113×	`associate-+r-_binary64_4104`
78×	`distribute-rgt-neg-in_binary64_4128`
76×	`prod-exp_binary64_4219`
69×	`distribute-lft-neg-in_binary64_4127`
68×	`*-commutative_binary64_4101`
61×	`unsub-neg_binary64_4164`
55×	`distribute-lft-out_binary64_4121`
48×	`sqr-pow_binary64_4142`
41×	`distribute-lft-neg-out_binary64_4129` `+-commutative_binary64_4100`
39×	`neg-sub0_binary64_4165`
38×	`neg-mul-1_binary64_4166`
33×	`distribute-rgt-out--_binary64_4124`
30×	`distribute-rgt-neg-out_binary64_4130`
28×	`pow-sqr_binary64_4143`
26×	`associate--l-_binary64_4108`
25×	`exp-sum_binary64_4216`
20×	`unswap-sqr_binary64_4138`
16×	`+-rgt-identity_binary64_4155`
14×	`associate--r-_binary64_4109`
10×	`unpow3_binary64_4236`
8×	`sub0-neg_binary64_4157`
7×	`exp-prod_binary64_4222` `distribute-lft-out--_binary64_4122`
6×	`cube-unmult_binary64_4207` `cube-mult_binary64_4200` `swap-sqr_binary64_4137`
5×	`difference-of-squares_binary64_4139` `associate-/l/_binary64_4117`
4×	`distribute-neg-out_binary64_4132`
3×	`unpow1_binary64_4228` `exp-lft-sqr_binary64_4225` `associate-/l_binary64_4115` `associate-r/_binary64_4112`
2×	`cube-prod_binary64_4198` `distribute-rgt1-in_binary64_4126`
1×	`pow-plus_binary64_4233` `1-exp_binary64_4214` `-inverses_binary64_4150` `cancel-sign-sub_binary64_4135` `distribute-lft1-in_binary64_4125` `count-2_binary64_4118` `associate-l/_binary64_4113`
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-pow_binary64_4259` `log-rec_binary64_4258` `log-div_binary64_4257` `log-prod_binary64_4256` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow2_binary64_4235` `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-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `exp-diff_binary64_4218` `exp-neg_binary64_4217` `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-div_binary64_4199` `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` `times-frac_binary64_4176` `div-sub_binary64_4175` `mul-1-neg_binary64_4162` `/-rgt-identity_binary64_4161` `-rgt-identity_binary64_4160` `-lft-identity_binary64_4159` `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` `difference-of-sqr-1_binary64_4140` `distribute-neg-frac_binary64_4134` `distribute-frac-neg_binary64_4133` `associate-/r/_binary64_4116` `associate-/r*_binary64_4114`

Counts

63 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	813
1	183	759
2	606	753
3	2655	753
4	4991	753

prune126.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Error

0.0b

Counts

114 → 4

Compiler

Compiled 2244 to 1186 computations (47.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 z (.f64 2 y)) (.f64 3 x))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_4209`
3×	`sum-log_binary64_4261`
1×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `flip3-+_binary64_4173` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `associate-+l+_binary64_4103` `+-commutative_binary64_4100`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+.f64 (+.f64 z (*.f64 2 y)) (*.f64 3 x))

Compiler

Compiled 242 to 176 computations (27.3% saved)

series205.0ms (2.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

193.0ms

(+.f64 (+.f64 z (*.f64 2 y)) (*.f64 3 x))

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

437×	`associate--r+_binary64_4106`
326×	`associate--l+_binary64_4107`
316×	`*-commutative_binary64_4101`
298×	`sub-neg_binary64_4163`
286×	`associate-+l-_binary64_4105`
276×	`distribute-rgt-in_binary64_4120`
271×	`+-commutative_binary64_4100`
261×	`distribute-lft-in_binary64_4119`
226×	`unsub-neg_binary64_4164`
208×	`unswap-sqr_binary64_4138`
195×	`associate-+r-_binary64_4104`
164×	`cancel-sign-sub-inv_binary64_4136`
143×	`associate-l_binary64_4111`
133×	`distribute-rgt-out_binary64_4123`
124×	`neg-mul-1_binary64_4166`
117×	`associate--r-_binary64_4109`
114×	`distribute-rgt-neg-in_binary64_4128`
109×	`neg-sub0_binary64_4165` `distribute-neg-in_binary64_4131`
108×	`associate-r_binary64_4110`
100×	`distribute-lft-neg-in_binary64_4127`
98×	`cancel-sign-sub_binary64_4135`
94×	`associate-+l+_binary64_4103`
84×	`times-frac_binary64_4176`
73×	`prod-exp_binary64_4219` `sqr-pow_binary64_4142`
68×	`distribute-lft-out_binary64_4121`
66×	`sub0-neg_binary64_4157` `associate-+r+_binary64_4102`
58×	`distribute-rgt-out--_binary64_4124`
49×	`associate--l-_binary64_4108`
47×	`pow-sqr_binary64_4143`
37×	`+-rgt-identity_binary64_4155`
32×	`distribute-lft-neg-out_binary64_4129`
25×	`--rgt-identity_binary64_4156`
22×	`associate-/l/_binary64_4117`
16×	`distribute-rgt-neg-out_binary64_4130`
15×	`associate-/l*_binary64_4115`
14×	`remove-double-neg_binary64_4158` `distribute-lft-out--_binary64_4122`
13×	`exp-sum_binary64_4216`
12×	`associate-*r/_binary64_4112`
8×	`exp-prod_binary64_4222` `cube-unmult_binary64_4207` `difference-of-squares_binary64_4139` `distribute-neg-out_binary64_4132`
7×	`swap-sqr_binary64_4137`
6×	`pow-plus_binary64_4233`
5×	`unpow3_binary64_4236` `cube-mult_binary64_4200`
4×	`cube-prod_binary64_4198` `/-rgt-identity_binary64_4161`
3×	`count-2_binary64_4118`
2×	`exp-lft-sqr_binary64_4225` `exp-diff_binary64_4218` `associate-/r/_binary64_4116` `associate-*l/_binary64_4113`
1×	`unpow1_binary64_4228` `exp-lft-cube_binary64_4226` `exp-sqrt_binary64_4223` `1-exp_binary64_4214` `cube-div_binary64_4199` `sqr-neg_binary64_4184` `-rgt-identity_binary64_4160` `+-lft-identity_binary64_4154` `-inverses_binary64_4150` `+-inverses_binary64_4149` `rgt-mult-inverse_binary64_4147`
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-pow_binary64_4259` `log-rec_binary64_4258` `log-div_binary64_4257` `log-prod_binary64_4256` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-cbrt_binary64_4224` `div-exp_binary64_4221` `rec-exp_binary64_4220` `exp-neg_binary64_4217` `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-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-sqrt-square_binary64_4183` `rem-square-sqrt_binary64_4182` `div-sub_binary64_4175` `mul-1-neg_binary64_4162` `-lft-identity_binary64_4159` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `lft-mult-inverse_binary64_4148` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `distribute-neg-frac_binary64_4134` `distribute-frac-neg_binary64_4133` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `associate-/r_binary64_4114`

Counts

31 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	446
1	115	419
2	420	416
3	1605	416
4	2340	416
5	4563	416

prune137.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	115	4	119

Error

0.0b

Counts

119 → 4

Compiler

Compiled 2466 to 1570 computations (36.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (*.f64 2 (+.f64 y x)))
0.0b	(+.f64 (*.f64 2 (+.f64 x y)) z)
0.0b	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x))))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x)))))

rewrite159.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_4192`
12×	`sqrt-div_binary64_4187`
10×	`add-log-exp_binary64_4209` `sqrt-prod_binary64_4186`
9×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
8×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
6×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate-l_binary64_4111` `associate-r_binary64_4110`
4×	`frac-times_binary64_4180` `unswap-sqr_binary64_4138`
3×	`pow-prod-down_binary64_4241` `sum-log_binary64_4261` `+-commutative_binary64_4100`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `associate-l/_binary64_4113` `associate-r/_binary64_4112` `distribute-rgt-in_binary64_4120` `associate-+l+_binary64_4103` `distribute-lft-in_binary64_4119` `associate-+r+_binary64_4102`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `sqrt-unprod_binary64_4190` `*-commutative_binary64_4101`

Counts

4 → 75

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x)))))
6.0ms	(+.f64 (*.f64 2 (+.f64 x y)) z)
3.0ms	(+.f64 z (*.f64 2 (+.f64 y x)))
3.0ms	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x))))))

Compiler

Compiled 2503 to 1394 computations (44.3% saved)

series827.0ms (10.6%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

212.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x)))))
196.0ms	(+.f64 z (*.f64 2 (+.f64 y x)))
186.0ms	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 2 (+.f64 x y)) z)) (sqrt.f64 (+.f64 z (*.f64 2 (+.f64 y x))))))
178.0ms	(+.f64 (*.f64 2 (+.f64 x y)) z)

Compiler

Compiled 2390 to 1854 computations (22.4% saved)

simplify324.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-rgt-in_binary64_4120`
541×	`distribute-lft-in_binary64_4119`
509×	`associate--l+_binary64_4107`
421×	`associate-l_binary64_4111`
378×	`associate-r_binary64_4110`
244×	`distribute-neg-in_binary64_4131`
185×	`associate-+l+_binary64_4103`
165×	`associate-+r+_binary64_4102`
158×	`sub-neg_binary64_4163`
147×	`distribute-rgt-neg-in_binary64_4128`
120×	`distribute-lft-neg-in_binary64_4127`
113×	`cancel-sign-sub-inv_binary64_4136` `*-commutative_binary64_4101`
96×	`unsub-neg_binary64_4164`
88×	`unswap-sqr_binary64_4138`
84×	`associate--r+_binary64_4106`
82×	`distribute-rgt-out--_binary64_4124`
79×	`distribute-lft-neg-out_binary64_4129`
68×	`sqr-pow_binary64_4142`
64×	`distribute-rgt-neg-out_binary64_4130`
50×	`neg-sub0_binary64_4165`
45×	`+-commutative_binary64_4100`
43×	`neg-mul-1_binary64_4166`
38×	`pow-sqr_binary64_4143`
35×	`prod-exp_binary64_4219`
32×	`*-rgt-identity_binary64_4160`
30×	`associate--l-_binary64_4108`
28×	`exp-sum_binary64_4216` `*-lft-identity_binary64_4159`
26×	`swap-sqr_binary64_4137`
24×	`exp-prod_binary64_4222`
22×	`distribute-lft-out--_binary64_4122`
21×	`associate-+r-_binary64_4104`
20×	`associate--r-_binary64_4109`
18×	`distribute-rgt-out_binary64_4123`
16×	`log-prod_binary64_4256` `cube-prod_binary64_4198` `+-rgt-identity_binary64_4155`
15×	`associate-+l-_binary64_4105`
10×	`difference-of-squares_binary64_4139` `associate-/l*_binary64_4115`
9×	`unpow3_binary64_4236` `sub0-neg_binary64_4157`
8×	`cube-unmult_binary64_4207` `cube-mult_binary64_4200` `associate-/l/_binary64_4117`
7×	`pow-plus_binary64_4233`
6×	`rem-sqrt-square_binary64_4183` `associate-*r/_binary64_4112`
5×	`rem-square-sqrt_binary64_4182` `distribute-lft-out_binary64_4121`
4×	`distribute-neg-out_binary64_4132`
3×	`exp-lft-sqr_binary64_4225` `count-2_binary64_4118` `associate-/r/_binary64_4116` `associate-/r*_binary64_4114`
2×	`pow-base-1_binary64_4230`
1×	`log-pow_binary64_4259` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-log-exp_binary64_4211` `/-rgt-identity_binary64_4161` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `*-inverses_binary64_4150` `cancel-sign-sub_binary64_4135` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125`
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` `log-div_binary64_4257` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `exp-to-pow_binary64_4232` `unpow0_binary64_4229` `unpow1_binary64_4228` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `exp-diff_binary64_4218` `exp-neg_binary64_4217` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-exp-log_binary64_4210` `cube-div_binary64_4199` `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` `times-frac_binary64_4176` `div-sub_binary64_4175` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `--rgt-identity_binary64_4156` `+-lft-identity_binary64_4154` `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` `distribute-neg-frac_binary64_4134` `distribute-frac-neg_binary64_4133` `associate-*l/_binary64_4113`

Counts

147 → 287

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2483
1	281	2276
2	907	2123
3	3855	2123

prune487.0ms (6.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	286	5	291

Error

0.0b

Counts

291 → 5

Compiler

Compiled 8621 to 4718 computations (45.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x)))))
0.0b	(+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))
0.0b	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))
0.2b	(.f64 (sqrt.f64 (+.f64 x (+.f64 (.f64 2 (+.f64 x y)) z))) (sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))))

rewrite187.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_4170`
18×	`add-sqr-sqrt_binary64_4192`
16×	`sqrt-prod_binary64_4186`
14×	`add-log-exp_binary64_4209` `sqrt-div_binary64_4187`
9×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `flip3-+_binary64_4173` `flip-+_binary64_4144`
7×	`associate-l_binary64_4111` `associate-r_binary64_4110`
6×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sum-log_binary64_4261`
5×	`distribute-lft-out_binary64_4121`
4×	`frac-times_binary64_4180` `unswap-sqr_binary64_4138`
3×	`pow1/2_binary64_4250` `pow-prod-down_binary64_4241` `sqrt-pow1_binary64_4188`
2×	`associate-l/_binary64_4113` `associate-r/_binary64_4112` `associate-+r+_binary64_4102` `+-commutative_binary64_4100`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `sqrt-unprod_binary64_4190` `*-commutative_binary64_4101` `rem-sqrt-square_binary64_4183`

Counts

4 → 84

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 x (+.f64 (.f64 2 (+.f64 x y)) z))) (sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))))
12.0ms	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))
5.0ms	(+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))
5.0ms	(sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x)))))

Compiler

Compiled 2972 to 1631 computations (45.1% saved)

series808.0ms (10.3%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

202.0ms	(.f64 (sqrt.f64 (+.f64 x (+.f64 (.f64 2 (+.f64 x y)) z))) (sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))))
195.0ms	(+.f64 x (+.f64 z (*.f64 2 (+.f64 y x))))
189.0ms	(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z))
161.0ms	(sqrt.f64 (+.f64 x (+.f64 z (*.f64 2 (+.f64 y x)))))

Compiler

Compiled 2967 to 2260 computations (23.8% saved)

simplify544.0ms (7%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64_4120`
584×	`distribute-lft-in_binary64_4119`
412×	`cancel-sign-sub-inv_binary64_4136`
297×	`associate-l_binary64_4111`
285×	`associate-r_binary64_4110`
182×	`distribute-neg-in_binary64_4131`
155×	`times-frac_binary64_4176`
149×	`sub-neg_binary64_4163`
136×	`associate-+l+_binary64_4103`
135×	`associate-+r+_binary64_4102`
133×	`*-commutative_binary64_4101`
119×	`distribute-rgt-out_binary64_4123`
86×	`distribute-rgt-neg-in_binary64_4128`
80×	`distribute-lft-neg-in_binary64_4127`
70×	`unswap-sqr_binary64_4138` `associate--r+_binary64_4106`
65×	`sqr-pow_binary64_4142`
64×	`associate-/r/_binary64_4116`
56×	`associate--l+_binary64_4107`
55×	`associate-/l/_binary64_4117`
51×	`+-commutative_binary64_4100`
50×	`unsub-neg_binary64_4164`
46×	`distribute-lft-out_binary64_4121`
44×	`exp-sum_binary64_4216` `distribute-lft-neg-out_binary64_4129`
38×	`neg-sub0_binary64_4165`
37×	`distribute-rgt-out--_binary64_4124`
36×	`neg-mul-1_binary64_4166` `distribute-rgt-neg-out_binary64_4130`
34×	`prod-exp_binary64_4219`
32×	`pow-sqr_binary64_4143`
26×	`exp-prod_binary64_4222` `associate-*r/_binary64_4112`
24×	`swap-sqr_binary64_4137`
23×	`*-rgt-identity_binary64_4160`
20×	`-lft-identity_binary64_4159` `associate-l/_binary64_4113`
17×	`log-prod_binary64_4256`
15×	`associate-+l-_binary64_4105` `associate-+r-_binary64_4104`
13×	`+-rgt-identity_binary64_4155`
12×	`cube-prod_binary64_4198`
10×	`pow-plus_binary64_4233` `cube-unmult_binary64_4207` `rem-sqrt-square_binary64_4183` `associate-/r*_binary64_4114`
8×	`log-div_binary64_4257` `exp-sqrt_binary64_4223` `distribute-lft-out--_binary64_4122`
7×	`cube-div_binary64_4199` `rem-square-sqrt_binary64_4182`
6×	`unpow3_binary64_4236`
5×	`cube-mult_binary64_4200` `sub0-neg_binary64_4157` `difference-of-squares_binary64_4139`
4×	`exp-lft-sqr_binary64_4225` `distribute-rgt1-in_binary64_4126` `count-2_binary64_4118` `associate--l-_binary64_4108`
3×	`associate-/l*_binary64_4115`
2×	`unpow1_binary64_4228`
1×	`unpow2_binary64_4235` `exp-diff_binary64_4218` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-log-exp_binary64_4211` `/-rgt-identity_binary64_4161` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `*-inverses_binary64_4150` `cancel-sign-sub_binary64_4135` `distribute-neg-frac_binary64_4134` `distribute-lft1-in_binary64_4125`
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-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` `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` `div-sub_binary64_4175` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `--rgt-identity_binary64_4156` `+-lft-identity_binary64_4154` `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` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `associate--r-_binary64_4109`

Counts

152 → 339

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	3328
1	291	2863
2	851	2786
3	3678	2780

prune659.0ms (8.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	338	6	344

Error

Counts

344 → 6

Compiler

Compiled 12010 to 6431 computations (46.5% saved)

regimes374.0ms (4.8%)

Accuracy

Total 0.0b remaining (62.4%)

Threshold costs 0.0b (62.4%)

Compiler

Compiled 3360 to 2606 computations (22.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_4101 +-commutative_binary64_4100

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13

Proof

(+ f64 (+ f64 h0 (* f64 2 h1)) (* f64 3 h2))

end0.0ms (0%)

sample1.3s (16.8%)

Algorithm

1×

intervals

Results

211.0ms	7436×	body	128	valid
18.0ms	194×	body	1024	valid
12.0ms	173×	body	512	valid
10.0ms	85×	body	2048	valid
5.0ms	112×	body	256	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 854 to 664 computations (22.2% saved)

Details

analyze327.0ms (4.2%)

sample20.0ms (0.3%)

simplify551.0ms (7.1%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite48.0ms (0.6%)

series385.0ms (4.9%)

simplify133.0ms (1.7%)

prune126.0ms (1.6%)

localize6.0ms (0.1%)

rewrite19.0ms (0.2%)

series205.0ms (2.6%)

simplify130.0ms (1.7%)

prune137.0ms (1.7%)

localize12.0ms (0.2%)

rewrite159.0ms (2%)

series827.0ms (10.6%)

simplify324.0ms (4.1%)

prune487.0ms (6.2%)

localize14.0ms (0.2%)

rewrite187.0ms (2.4%)

series808.0ms (10.3%)

simplify544.0ms (7%)

prune659.0ms (8.4%)

regimes374.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (16.8%)

Profiling