Details

analyze555.0ms (2.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

492×	`unsub-neg_binary64_4164`
426×	`neg-mul-1_binary64_4166`
388×	`neg-sub0_binary64_4165`
386×	`div-sub_binary64_4175`
340×	`times-frac_binary64_4176`
314×	`sub-neg_binary64_4163`
270×	`distribute-rgt-in_binary64_4120`
256×	`distribute-rgt-neg-in_binary64_4128`
234×	`associate-/l*_binary64_4115`
232×	`distribute-neg-frac_binary64_4134`
228×	`distribute-lft-in_binary64_4119`
218×	`distribute-rgt-neg-out_binary64_4130`
212×	`distribute-lft-neg-out_binary64_4129`
198×	`distribute-rgt-out--_binary64_4124`
168×	`*-commutative_binary64_4101`
160×	`cancel-sign-sub_binary64_4135`
154×	`distribute-lft-neg-in_binary64_4127`
150×	`exp-prod_binary64_4222`
146×	`associate-/r*_binary64_4114`
114×	`cancel-sign-sub-inv_binary64_4136` `associate-/r/_binary64_4116`
108×	`distribute-rgt-out_binary64_4123`
104×	`distribute-frac-neg_binary64_4133`
94×	`associate-*l/_binary64_4113`
62×	`associate-*r/_binary64_4112`
60×	`distribute-neg-out_binary64_4132` `distribute-neg-in_binary64_4131` `associate-r_binary64_4110`
56×	`associate--r+_binary64_4106`
50×	`associate-l_binary64_4111`
48×	`associate--r-_binary64_4109`
46×	`div0_binary64_4151`
42×	`mul0-rgt_binary64_4153`
40×	`sqr-pow_binary64_4142` `+-commutative_binary64_4100`
38×	`mul0-lft_binary64_4152` `associate-/l/_binary64_4117`
36×	`exp-sum_binary64_4216`
32×	`associate-+l-_binary64_4105`
30×	`exp-diff_binary64_4218` `remove-double-neg_binary64_4158` `distribute-lft-out_binary64_4121` `associate-+r+_binary64_4102`
28×	`/-rgt-identity_binary64_4161` `distribute-lft-out--_binary64_4122`
24×	`unswap-sqr_binary64_4138`
22×	`-rgt-identity_binary64_4160` `-lft-identity_binary64_4159`
20×	`sub0-neg_binary64_4157` `associate-+r-_binary64_4104`
18×	`distribute-rgt1-in_binary64_4126` `associate--l+_binary64_4107`
16×	`associate--l-_binary64_4108` `associate-+l+_binary64_4103`
14×	`pow-sqr_binary64_4143`
12×	`rem-sqrt-square_binary64_4183`
10×	`+-rgt-identity_binary64_4155` `+-lft-identity_binary64_4154` `distribute-lft1-in_binary64_4125`
8×	`exp-neg_binary64_4217` `mul-1-neg_binary64_4162` `remove-double-div_binary64_4146`
6×	`--rgt-identity_binary64_4156`
4×	`unpow1/2_binary64_4234` `*-inverses_binary64_4150` `lft-mult-inverse_binary64_4148` `swap-sqr_binary64_4137`
2×	`pow-plus_binary64_4233` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `sqr-neg_binary64_4184` `+-inverses_binary64_4149`
1×	`1-exp_binary64_4214` `exp-1-e_binary64_4213`
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` `unpow3_binary64_4236` `unpow2_binary64_4235` `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-lft-sqr_binary64_4225` `exp-cbrt_binary64_4224` `exp-sqrt_binary64_4223` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-log-exp_binary64_4211` `rem-exp-log_binary64_4210` `cube-unmult_binary64_4207` `cube-mult_binary64_4200` `cube-div_binary64_4199` `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` `rem-square-sqrt_binary64_4182` `rgt-mult-inverse_binary64_4147` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `count-2_binary64_4118`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	38	46
2	101	46
3	281	42
4	601	36
5	1958	36
6	3390	36
7	4201	36
8	4908	36
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample51.0ms (0.2%)

Algorithm

1×

intervals

Results

22.0ms	116×	body	8192	exit
8.0ms	208×	body	128	valid
3.0ms	26×	body	512	valid
2.0ms	22×	body	256	valid
0.0ms	2×	body	128	overflowed
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

675×	`neg-mul-1_binary64_4166`
493×	`div-sub_binary64_4175`
416×	`distribute-neg-frac_binary64_4134`
341×	`distribute-rgt-neg-out_binary64_4130`
331×	`distribute-lft-neg-out_binary64_4129`
302×	`sub-neg_binary64_4163`
294×	`associate-/l/_binary64_4117`
289×	`associate-/r*_binary64_4114`
273×	`associate-*l/_binary64_4113`
241×	`cancel-sign-sub-inv_binary64_4136`
222×	`*-commutative_binary64_4101`
219×	`associate-/r/_binary64_4116`
216×	`distribute-rgt-neg-in_binary64_4128`
204×	`neg-sub0_binary64_4165`
188×	`distribute-frac-neg_binary64_4133`
172×	`associate-*r/_binary64_4112`
155×	`unsub-neg_binary64_4164`
148×	`times-frac_binary64_4176`
134×	`distribute-lft-neg-in_binary64_4127`
113×	`exp-prod_binary64_4222`
112×	`distribute-rgt-in_binary64_4120`
105×	`associate-/l*_binary64_4115`
95×	`distribute-lft-in_binary64_4119`
68×	`distribute-rgt-out--_binary64_4124`
63×	`associate-+l+_binary64_4103` `associate-+r+_binary64_4102`
62×	`unswap-sqr_binary64_4138`
57×	`distribute-rgt-out_binary64_4123`
54×	`remove-double-neg_binary64_4158` `associate--r+_binary64_4106`
50×	`distribute-neg-in_binary64_4131`
41×	`cancel-sign-sub_binary64_4135`
36×	`div0_binary64_4151`
35×	`sqr-pow_binary64_4142`
34×	`+-commutative_binary64_4100`
33×	`cube-prod_binary64_4198`
31×	`*-lft-identity_binary64_4159`
29×	`associate--r-_binary64_4109`
28×	`associate-+r-_binary64_4104`
27×	`associate-+l-_binary64_4105`
26×	`unpow3_binary64_4236`
24×	`*-rgt-identity_binary64_4160`
23×	`+-lft-identity_binary64_4154`
22×	`exp-diff_binary64_4218` `distribute-neg-out_binary64_4132` `associate--l+_binary64_4107`
21×	`/-rgt-identity_binary64_4161`
20×	`associate-l_binary64_4111`
19×	`exp-sum_binary64_4216` `associate-r_binary64_4110`
18×	`mul0-rgt_binary64_4153`
17×	`+-rgt-identity_binary64_4155`
15×	`mul0-lft_binary64_4152`
13×	`exp-neg_binary64_4217` `distribute-lft-out--_binary64_4122` `associate--l-_binary64_4108`
12×	`pow-sqr_binary64_4143`
11×	`distribute-lft-out_binary64_4121`
9×	`rem-sqrt-square_binary64_4183` `sub0-neg_binary64_4157` `remove-double-div_binary64_4146`
8×	`cube-unmult_binary64_4207`
7×	`prod-exp_binary64_4219`
6×	`cube-div_binary64_4199` `distribute-rgt1-in_binary64_4126`
5×	`pow-plus_binary64_4233` `div-exp_binary64_4221` `sqr-neg_binary64_4184`
4×	`unpow1/2_binary64_4234`
3×	`rec-exp_binary64_4220` `cube-neg_binary64_4197` `--rgt-identity_binary64_4156` `lft-mult-inverse_binary64_4148` `distribute-lft1-in_binary64_4125`
2×	`swap-sqr_binary64_4137`
1×	`exp-lft-sqr_binary64_4225` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `cube-mult_binary64_4200` `*-inverses_binary64_4150` `+-inverses_binary64_4149`
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` `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` `exp-sqrt_binary64_4223` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-log-exp_binary64_4211` `rem-exp-log_binary64_4210` `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` `mul-1-neg_binary64_4162` `rgt-mult-inverse_binary64_4147` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `count-2_binary64_4118`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	21	23
2	54	23
3	144	21
4	317	18
5	917	18
6	2433	18
7	3237	18
8	4433	18
9	4979	18
10	4999	18
11	4887	18

prune8.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.1b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
6.6b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite165.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

49×	`*-un-lft-identity_binary64_4170`
48×	`add-sqr-sqrt_binary64_4192`
38×	`times-frac_binary64_4176`
23×	`add-cube-cbrt_binary64_4205`
10×	`difference-of-squares_binary64_4139`
9×	`associate-/l*_binary64_4115`
8×	`distribute-lft-out_binary64_4121`
7×	`add-cbrt-cube_binary64_4206` `associate-/r*_binary64_4114`
6×	`add-exp-log_binary64_4208`
5×	`add-log-exp_binary64_4209` `distribute-lft-out--_binary64_4122`
3×	`pow1_binary64_4231`
2×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `div-sub_binary64_4175` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116`
1×	`sum-log_binary64_4261` `associate-+r-_binary64_4104` `+-commutative_binary64_4100` `flip3--_binary64_4174` `flip--_binary64_4145`

Counts

3 → 91

Calls

3 calls:

18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series589.0ms (2.5%)

Error

0.1b

Counts

3 → 45

Calls

3 calls:

233.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
208.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
100.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1534 to 998 computations (34.9% saved)

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

363×	`distribute-rgt-in_binary64_4120`
311×	`distribute-lft-in_binary64_4119`
263×	`associate--l+_binary64_4107`
238×	`associate--r+_binary64_4106`
207×	`associate-l_binary64_4111`
194×	`associate-r_binary64_4110`
185×	`associate-*l/_binary64_4113`
183×	`div-sub_binary64_4175`
181×	`cancel-sign-sub-inv_binary64_4136`
180×	`sub-neg_binary64_4163`
179×	`associate-/l*_binary64_4115`
160×	`associate-*r/_binary64_4112`
157×	`associate-/r*_binary64_4114`
117×	`associate-/l/_binary64_4117`
108×	`times-frac_binary64_4176`
92×	`neg-mul-1_binary64_4166`
88×	`+-commutative_binary64_4100`
61×	`distribute-neg-in_binary64_4131`
49×	`*-commutative_binary64_4101`
48×	`neg-sub0_binary64_4165`
47×	`associate-/r/_binary64_4116`
46×	`distribute-rgt-neg-in_binary64_4128`
40×	`distribute-neg-frac_binary64_4134` `associate-+l+_binary64_4103`
38×	`distribute-lft-neg-in_binary64_4127`
33×	`unsub-neg_binary64_4164`
27×	`exp-prod_binary64_4222`
26×	`distribute-lft-neg-out_binary64_4129`
24×	`*-rgt-identity_binary64_4160`
23×	`distribute-rgt-out_binary64_4123` `associate-+r+_binary64_4102`
18×	`sqr-pow_binary64_4142`
17×	`distribute-rgt-neg-out_binary64_4130`
16×	`associate--l-_binary64_4108`
13×	`cube-prod_binary64_4198`
12×	`exp-sum_binary64_4216` `/-rgt-identity_binary64_4161` `*-lft-identity_binary64_4159`
11×	`distribute-rgt-out--_binary64_4124`
10×	`log-div_binary64_4257` `cube-div_binary64_4199` `distribute-rgt1-in_binary64_4126`
9×	`exp-diff_binary64_4218`
8×	`unswap-sqr_binary64_4138`
7×	`log-pow_binary64_4259` `cube-unmult_binary64_4207`
6×	`log-prod_binary64_4256`
5×	`unpow3_binary64_4236` `prod-exp_binary64_4219`
4×	`exp-to-pow_binary64_4232` `distribute-lft-out--_binary64_4122` `associate--r-_binary64_4109`
3×	`difference-of-squares_binary64_4139` `distribute-lft1-in_binary64_4125`
2×	`cube-mult_binary64_4200` `sqr-neg_binary64_4184` `remove-double-neg_binary64_4158` `distribute-lft-out_binary64_4121` `associate-+l-_binary64_4105`
1×	`log-rec_binary64_4258` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `pow-plus_binary64_4233` `unpow1_binary64_4228` `rec-exp_binary64_4220` `1-exp_binary64_4214` `rem-log-exp_binary64_4211` `cube-neg_binary64_4197` `rem-sqrt-square_binary64_4183` `mul-1-neg_binary64_4162` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `count-2_binary64_4118` `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` `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` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-lft-sqr_binary64_4225` `exp-cbrt_binary64_4224` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `exp-neg_binary64_4217` `e-exp-1_binary64_4215` `exp-1-e_binary64_4213` `exp-0_binary64_4212` `rem-exp-log_binary64_4210` `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` `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_4150` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `pow-sqr_binary64_4143` `swap-sqr_binary64_4137` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132`

Counts

136 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2868
1	560	2789
2	1554	2769
3	4587	2769
4	4989	2769
5	4955	2769

prune78.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

0.1b

Counts

70 → 3

Compiler

Compiled 1351 to 580 computations (57.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3))))))
0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
9.6b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite295.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64_4192`
18×	`add-log-exp_binary64_4209`
15×	`associate-l_binary64_4111`
14×	`add-exp-log_binary64_4208`
13×	`*-un-lft-identity_binary64_4170`
11×	`add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
9×	`pow1_binary64_4231`
6×	`prod-exp_binary64_4219` `flip3-+_binary64_4173` `associate-*l/_binary64_4113` `flip-+_binary64_4144` `cancel-sign-sub-inv_binary64_4136`
5×	`unswap-sqr_binary64_4138` `sum-log_binary64_4261`
4×	`cbrt-unprod_binary64_4203` `associate-r_binary64_4110` `unpow-prod-down_binary64_4249` `cube-prod_binary64_4198` `diff-log_binary64_4262` `frac-sub_binary64_4179` `associate-+r+_binary64_4102`
3×	`pow-prod-down_binary64_4241`
2×	`*-commutative_binary64_4101` `sqr-pow_binary64_4142` `sub-neg_binary64_4163`
1×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `unpow3_binary64_4236` `cube-mult_binary64_4200` `flip3--_binary64_4174` `flip--_binary64_4145` `associate--r+_binary64_4106` `distribute-lft-out_binary64_4121` `associate-+r-_binary64_4104` `+-commutative_binary64_4100`

Counts

4 → 91

Calls

4 calls:

25.0ms	(+.f64 x (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3))))))
21.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3958 to 2501 computations (36.8% saved)

series1.2s (5.1%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

545.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
372.0ms	(+.f64 x (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3))))))
154.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
60.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2614 to 1947 computations (25.5% saved)

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

357×	`exp-prod_binary64_4222`
336×	`associate-l_binary64_4111`
327×	`associate-r_binary64_4110`
248×	`distribute-rgt-neg-in_binary64_4128`
235×	`unswap-sqr_binary64_4138`
216×	`distribute-rgt-in_binary64_4120`
204×	`distribute-lft-in_binary64_4119`
190×	`distribute-neg-in_binary64_4131`
182×	`sub-neg_binary64_4163`
160×	`*-commutative_binary64_4101`
140×	`log-prod_binary64_4256`
95×	`cancel-sign-sub-inv_binary64_4136`
87×	`distribute-lft-neg-out_binary64_4129`
84×	`+-commutative_binary64_4100`
69×	`cube-prod_binary64_4198`
63×	`associate--r+_binary64_4106`
61×	`exp-sum_binary64_4216` `neg-sub0_binary64_4165` `sqr-pow_binary64_4142` `distribute-rgt-neg-out_binary64_4130`
60×	`neg-mul-1_binary64_4166`
50×	`associate--l+_binary64_4107`
47×	`unpow3_binary64_4236`
46×	`swap-sqr_binary64_4137`
42×	`times-frac_binary64_4176`
41×	`associate-+l+_binary64_4103`
38×	`unsub-neg_binary64_4164`
31×	`distribute-lft-neg-in_binary64_4127`
30×	`associate-+r+_binary64_4102`
18×	`*-rgt-identity_binary64_4160`
17×	`exp-diff_binary64_4218`
16×	`pow-plus_binary64_4233`
15×	`log-pow_binary64_4259` `*-lft-identity_binary64_4159`
13×	`difference-of-squares_binary64_4139`
12×	`cube-mult_binary64_4200`
9×	`mul-1-neg_binary64_4162`
8×	`div-exp_binary64_4221` `associate-+r-_binary64_4104`
7×	`pow-sqr_binary64_4143` `distribute-rgt-out--_binary64_4124`
6×	`cube-unmult_binary64_4207` `distribute-rgt-out_binary64_4123` `associate-+l-_binary64_4105`
5×	`prod-exp_binary64_4219` `rem-sqrt-square_binary64_4183`
4×	`exp-lft-sqr_binary64_4225` `associate-/r*_binary64_4114`
3×	`distribute-rgt1-in_binary64_4126` `associate-*r/_binary64_4112`
2×	`unpow1/2_binary64_4234` `rem-square-sqrt_binary64_4182` `remove-double-neg_binary64_4158` `+-rgt-identity_binary64_4155` `count-2_binary64_4118` `associate-*l/_binary64_4113` `associate--r-_binary64_4109` `associate--l-_binary64_4108`
1×	`unpow2_binary64_4235` `unpow1_binary64_4228` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-3cbrt-lft_binary64_4195` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `difference-of-sqr-1_binary64_4140` `associate-/l*_binary64_4115`
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` `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` `rec-exp_binary64_4220` `exp-neg_binary64_4217` `e-exp-1_binary64_4215` `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` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `div-sub_binary64_4175` `/-rgt-identity_binary64_4161` `sub0-neg_binary64_4157` `--rgt-identity_binary64_4156` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `div0_binary64_4151` `*-inverses_binary64_4150` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `cancel-sign-sub_binary64_4135` `distribute-neg-frac_binary64_4134` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `distribute-lft1-in_binary64_4125` `distribute-lft-out--_binary64_4122` `distribute-lft-out_binary64_4121` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116`

Counts

136 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	4031
1	690	3695
2	2989	3687
3	4805	3669
4	5131	3669

prune224.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Error

0.1b

Counts

121 → 6

Compiler

Compiled 4098 to 2660 computations (35.1% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(*.f64 wj (exp.f64 wj))
0.3b	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
6.6b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite173.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

36×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
31×	`times-frac_binary64_4176`
27×	`add-cube-cbrt_binary64_4205`
21×	`cancel-sign-sub-inv_binary64_4136`
10×	`add-cbrt-cube_binary64_4206`
8×	`pow1_binary64_4231` `add-exp-log_binary64_4208`
7×	`distribute-rgt1-in_binary64_4126` `distribute-rgt-out_binary64_4123`
6×	`add-log-exp_binary64_4209` `associate-l_binary64_4111` `associate-r_binary64_4110`
5×	`associate-/r*_binary64_4114`
4×	`associate-/r/_binary64_4116`
3×	`associate-/l*_binary64_4115`
2×	`flip3--_binary64_4174` `flip--_binary64_4145` `difference-of-squares_binary64_4139` `div-inv_binary64_4167` `flip3-+_binary64_4173` `flip-+_binary64_4144` `div-sub_binary64_4175` `associate-/l/_binary64_4117` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `*-commutative_binary64_4101`
1×	`diff-log_binary64_4262` `sub-neg_binary64_4163` `distribute-lft-out--_binary64_4122` `associate--r-_binary64_4109` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169`

Counts

4 → 112

Calls

4 calls:

15.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
11.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
5.0ms	(*.f64 wj (exp.f64 wj))
5.0ms	(*.f64 wj (exp.f64 wj))

Compiler

Compiled 3070 to 515 computations (83.2% saved)

series743.0ms (3.2%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

360.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
264.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
37.0ms	(*.f64 wj (exp.f64 wj))
37.0ms	(*.f64 wj (exp.f64 wj))

Compiler

Compiled 1908 to 966 computations (49.4% saved)

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

466×	`times-frac_binary64_4176`
376×	`div-sub_binary64_4175`
258×	`cancel-sign-sub-inv_binary64_4136`
235×	`sub-neg_binary64_4163`
211×	`exp-prod_binary64_4222`
130×	`distribute-neg-frac_binary64_4134`
127×	`*-commutative_binary64_4101`
125×	`neg-sub0_binary64_4165`
124×	`distribute-rgt-neg-in_binary64_4128`
116×	`associate-l_binary64_4111`
112×	`neg-mul-1_binary64_4166`
109×	`distribute-lft-neg-out_binary64_4129` `associate-r_binary64_4110`
93×	`distribute-rgt-out_binary64_4123`
91×	`+-commutative_binary64_4100`
90×	`distribute-neg-in_binary64_4131` `distribute-lft-neg-in_binary64_4127`
87×	`distribute-rgt-neg-out_binary64_4130` `associate-*l/_binary64_4113`
74×	`associate-/l_binary64_4115` `associate-r/_binary64_4112`
62×	`associate--l+_binary64_4107`
60×	`distribute-rgt-in_binary64_4120`
55×	`associate--r+_binary64_4106`
54×	`distribute-lft-in_binary64_4119`
53×	`log-prod_binary64_4256`
50×	`cube-prod_binary64_4198` `associate-+l+_binary64_4103`
49×	`associate-/r*_binary64_4114`
36×	`exp-diff_binary64_4218`
34×	`exp-sum_binary64_4216` `unswap-sqr_binary64_4138` `distribute-lft-out_binary64_4121` `associate-+r+_binary64_4102`
33×	`unsub-neg_binary64_4164`
29×	`cube-div_binary64_4199`
28×	`log-div_binary64_4257` `sqr-pow_binary64_4142` `distribute-frac-neg_binary64_4133` `associate-/l/_binary64_4117`
26×	`distribute-rgt-out--_binary64_4124`
20×	`distribute-rgt1-in_binary64_4126`
18×	`exp-neg_binary64_4217`
15×	`-rgt-identity_binary64_4160` `-lft-identity_binary64_4159`
13×	`unpow3_binary64_4236`
11×	`swap-sqr_binary64_4137`
10×	`associate-/r/_binary64_4116`
8×	`cube-mult_binary64_4200` `/-rgt-identity_binary64_4161` `difference-of-squares_binary64_4139` `distribute-lft1-in_binary64_4125`
7×	`log-pow_binary64_4259` `div0_binary64_4151`
6×	`div-exp_binary64_4221` `cube-unmult_binary64_4207`
5×	`rem-sqrt-square_binary64_4183` `associate--r-_binary64_4109` `associate-+r-_binary64_4104`
4×	`distribute-neg-out_binary64_4132` `distribute-lft-out--_binary64_4122`
3×	`prod-exp_binary64_4219`
2×	`unpow1/2_binary64_4234` `pow-plus_binary64_4233` `exp-to-pow_binary64_4232` `rec-exp_binary64_4220` `rem-3cbrt-lft_binary64_4195` `rem-square-sqrt_binary64_4182` `mul-1-neg_binary64_4162` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `+-rgt-identity_binary64_4155` `cancel-sign-sub_binary64_4135` `associate-+l-_binary64_4105`
1×	`log-E_binary64_4260` `log-rec_binary64_4258` `unpow2_binary64_4235` `unpow1_binary64_4228` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-log-exp_binary64_4211` `rem-3cbrt-rft_binary64_4196` `sqr-neg_binary64_4184` `*-inverses_binary64_4150` `pow-sqr_binary64_4143` `difference-of-sqr--1_binary64_4141`
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` `pow-base-0_binary64_4254` `unpow1/3_binary64_4237` `pow-base-1_binary64_4230` `unpow0_binary64_4229` `unpow-1_binary64_4227` `exp-lft-cube_binary64_4226` `exp-lft-sqr_binary64_4225` `exp-cbrt_binary64_4224` `exp-sqrt_binary64_4223` `e-exp-1_binary64_4215` `exp-0_binary64_4212` `rem-exp-log_binary64_4210` `cube-neg_binary64_4197` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `--rgt-identity_binary64_4156` `+-lft-identity_binary64_4154` `mul0-rgt_binary64_4153` `mul0-lft_binary64_4152` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr-1_binary64_4140` `count-2_binary64_4118` `associate--l-_binary64_4108`

Counts

160 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	3890
1	716	3828
2	2424	3380
3	4334	3367
4	5381	3367

prune133.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	118	6	124

Error

0.1b

Counts

124 → 6

Compiler

Compiled 2747 to 1205 computations (56.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (*.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))))))
4.3b	(.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1)))
9.6b	(.f64 (.f64 wj wj) (+.f64 (+.f64 (*.f64 5/2 x) 1) wj))
30.1b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))))) (+.f64 (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))) (.f64 (.f64 wj wj) (+.f64 (+.f64 (.f64 5/2 x) 1) wj))))

rewrite4.9s (20.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

204×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
178×	`associate-*r/_binary64_4112`
132×	`frac-times_binary64_4180`
128×	`frac-sub_binary64_4179`
66×	`associate-/l/_binary64_4117` `associate-*l/_binary64_4113`
21×	`add-exp-log_binary64_4208`
16×	`add-cbrt-cube_binary64_4206` `*-un-lft-identity_binary64_4170`
15×	`add-sqr-sqrt_binary64_4192`
14×	`add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
10×	`prod-exp_binary64_4219` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`
9×	`times-frac_binary64_4176`
6×	`add-log-exp_binary64_4209` `associate-/r/_binary64_4116` `cbrt-unprod_binary64_4203`
5×	`associate-r_binary64_4110`
4×	`frac-add_binary64_4178` `pow-prod-down_binary64_4241` `associate-l_binary64_4111` `associate--l+_binary64_4107`
3×	`associate-/l_binary64_4115` `associate-/r_binary64_4114`
2×	`flip3--_binary64_4174` `flip--_binary64_4145` `*-commutative_binary64_4101` `associate--r+_binary64_4106`
1×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `div-inv_binary64_4167` `unswap-sqr_binary64_4138` `distribute-lft-out_binary64_4121` `pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

Counts

4 → 237

Calls

4 calls:

40.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))))) (+.f64 (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))) (.f64 (.f64 wj wj) (+.f64 (+.f64 (.f64 5/2 x) 1) wj))))
21.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (*.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))))))
13.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1)))
13.0ms	(.f64 (.f64 wj wj) (+.f64 (+.f64 (*.f64 5/2 x) 1) wj))

Compiler

Compiled 40508 to 27263 computations (32.7% saved)

series5.5s (23.4%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

4.2s	(/.f64 (-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))))) (+.f64 (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))) (.f64 (.f64 wj wj) (+.f64 (+.f64 (.f64 5/2 x) 1) wj))))
691.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1))) (.f64 (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (*.f64 8/3 (pow.f64 wj 3)) (+.f64 wj wj))))))
222.0ms	(.f64 (.f64 wj wj) (+.f64 (+.f64 (*.f64 5/2 x) 1) wj))
145.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (.f64 (pow.f64 wj 4) (+.f64 (.f64 5/2 x) 1)))

Compiler

Compiled 12610 to 9643 computations (23.5% saved)

simplify652.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

307×	`*-commutative_binary64_4101`
258×	`associate-/l*_binary64_4115`
238×	`cancel-sign-sub-inv_binary64_4136`
195×	`associate-r_binary64_4110`
185×	`associate-+l+_binary64_4103`
176×	`times-frac_binary64_4176`
175×	`distribute-rgt-neg-in_binary64_4128`
147×	`sub-neg_binary64_4163`
144×	`associate-l_binary64_4111`
135×	`distribute-lft-neg-in_binary64_4127`
132×	`associate-/r*_binary64_4114`
131×	`div-sub_binary64_4175`
95×	`+-commutative_binary64_4100`
90×	`associate--r+_binary64_4106`
75×	`associate--l+_binary64_4107`
68×	`associate-*l/_binary64_4113`
67×	`neg-sub0_binary64_4165`
63×	`neg-mul-1_binary64_4166`
60×	`associate-*r/_binary64_4112`
57×	`distribute-rgt-in_binary64_4120`
55×	`sqr-pow_binary64_4142`
54×	`distribute-lft-in_binary64_4119`
51×	`distribute-neg-in_binary64_4131`
50×	`associate-+r+_binary64_4102`
44×	`exp-prod_binary64_4222`
43×	`unswap-sqr_binary64_4138`
41×	`cube-prod_binary64_4198`
38×	`distribute-lft-neg-out_binary64_4129`
32×	`exp-sum_binary64_4216`
28×	`log-prod_binary64_4256`
27×	`swap-sqr_binary64_4137`
26×	`associate-/r/_binary64_4116`
21×	`associate-/l/_binary64_4117`
19×	`unpow3_binary64_4236`
14×	`cube-mult_binary64_4200`
13×	`distribute-rgt-out_binary64_4123`
10×	`distribute-rgt-out--_binary64_4124`
9×	`*-rgt-identity_binary64_4160`
8×	`exp-diff_binary64_4218` `difference-of-squares_binary64_4139` `associate-+r-_binary64_4104`
7×	`cube-unmult_binary64_4207` `mul-1-neg_binary64_4162`
6×	`log-div_binary64_4257` `unpow2_binary64_4235` `unpow1/2_binary64_4234` `unpow1_binary64_4228` `cube-div_binary64_4199` `count-2_binary64_4118`
5×	`/-rgt-identity_binary64_4161`
4×	`log-pow_binary64_4259` `pow-plus_binary64_4233` `*-lft-identity_binary64_4159` `associate-+l-_binary64_4105`
3×	`pow-sqr_binary64_4143` `distribute-neg-frac_binary64_4134`
2×	`unsub-neg_binary64_4164` `distribute-rgt-neg-out_binary64_4130` `distribute-rgt1-in_binary64_4126`
1×	`exp-lft-sqr_binary64_4225` `div-exp_binary64_4221` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-sqrt-square_binary64_4183` `difference-of-sqr-1_binary64_4140` `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` `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` `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` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `exp-neg_binary64_4217` `e-exp-1_binary64_4215` `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` `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_4150` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `remove-double-div_binary64_4146` `difference-of-sqr--1_binary64_4141` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-neg-out_binary64_4132` `distribute-lft1-in_binary64_4125` `distribute-lft-out--_binary64_4122` `distribute-lft-out_binary64_4121` `associate--l-_binary64_4108`

Counts

281 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	34921
1	2181	34195
2	4797	34171
3	5127	34171

prune3.8s (16.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	2	0	2
Picked	1	0	1
Done	1	2	3
Total	268	4	272

Error

0.0b

Counts

272 → 4

Compiler

Compiled 39065 to 25656 computations (34.3% saved)

regimes513.0ms (2.2%)

Accuracy

Total 1.8b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6528 to 4314 computations (33.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64_4100`
13×	`*-commutative_binary64_4101`
10×	`sub-neg_binary64_4163`
9×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
5×	`unsub-neg_binary64_4164` `distribute-neg-in_binary64_4131`
4×	`distribute-rgt-neg-in_binary64_4128` `distribute-lft-neg-in_binary64_4127`
1×	`1-exp_binary64_4214`
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` `exp-1-e_binary64_4213` `exp-0_binary64_4212` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `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-rgt-neg-out_binary64_4130` `distribute-lft-neg-out_binary64_4129`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	31	40
2	39	40
3	53	40
4	66	40
5	85	40
6	96	40
7	102	40
8	104	40
9	103	40

end0.0ms (0%)

sample3.3s (13.8%)

Algorithm

1×

intervals

Results

817.0ms	3864×	body	8192	exit
252.0ms	6541×	body	128	valid
91.0ms	719×	body	512	valid
53.0ms	723×	body	256	valid
8.0ms	83×	body	128	invalid
3.0ms	17×	body	1024	valid
0.0ms	15×	body	128	overflowed

Compiler

Compiled 2225 to 1472 computations (33.8% saved)

Details

analyze555.0ms (2.4%)

sample51.0ms (0.2%)

simplify141.0ms (0.6%)

prune8.0ms (0%)

localize8.0ms (0%)

rewrite165.0ms (0.7%)

series589.0ms (2.5%)

simplify155.0ms (0.7%)

prune78.0ms (0.3%)

localize16.0ms (0.1%)

rewrite295.0ms (1.3%)

series1.2s (5.1%)

simplify163.0ms (0.7%)

prune224.0ms (1%)

localize11.0ms (0%)

rewrite173.0ms (0.7%)

series743.0ms (3.2%)

simplify161.0ms (0.7%)

prune133.0ms (0.6%)

localize28.0ms (0.1%)

rewrite4.9s (20.8%)

series5.5s (23.4%)

simplify652.0ms (2.8%)

prune3.8s (16.3%)

regimes513.0ms (2.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.3s (13.8%)

Profiling