Details

analyze268.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 30 to 24 computations (20% saved)

sample51.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	53×	body	512	valid
10.0ms	106×	body	256	valid
8.0ms	289×	pre	128	true
5.0ms	97×	body	128	valid
1.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify418.0ms (2%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_4175`
743×	`associate-/l*_binary64_4115`
567×	`times-frac_binary64_4176`
521×	`associate-/l/_binary64_4117`
427×	`associate-/r/_binary64_4116`
390×	`sub-neg_binary64_4163`
318×	`distribute-rgt-in_binary64_4120`
273×	`cancel-sign-sub-inv_binary64_4136`
256×	`distribute-neg-frac_binary64_4134`
247×	`distribute-lft-in_binary64_4119`
214×	`distribute-rgt-neg-in_binary64_4128`
199×	`unsub-neg_binary64_4164`
187×	`associate-/r*_binary64_4114`
179×	`distribute-lft-neg-in_binary64_4127`
116×	`neg-mul-1_binary64_4166`
113×	`associate-*l/_binary64_4113`
98×	`*-commutative_binary64_4101`
82×	`distribute-lft-neg-out_binary64_4129`
74×	`neg-sub0_binary64_4165` `distribute-frac-neg_binary64_4133`
67×	`distribute-rgt-neg-out_binary64_4130`
58×	`associate-r_binary64_4110`
55×	`+-commutative_binary64_4100`
54×	`associate--r+_binary64_4106`
49×	`div0_binary64_4151` `associate-l_binary64_4111`
48×	`mul0-rgt_binary64_4153`
45×	`associate-*r/_binary64_4112`
44×	`mul0-lft_binary64_4152`
42×	`remove-double-div_binary64_4146`
38×	`associate--r-_binary64_4109`
30×	`+-lft-identity_binary64_4154`
26×	`distribute-neg-in_binary64_4131` `associate--l-_binary64_4108`
23×	`cancel-sign-sub_binary64_4135`
22×	`/-rgt-identity_binary64_4161` `remove-double-neg_binary64_4158`
19×	`sub0-neg_binary64_4157`
17×	`*-lft-identity_binary64_4159`
14×	`associate-+l-_binary64_4105` `associate-+r-_binary64_4104` `associate-+l+_binary64_4103`
10×	`*-rgt-identity_binary64_4160` `distribute-rgt-out--_binary64_4124` `distribute-rgt-out_binary64_4123` `associate--l+_binary64_4107`
8×	`distribute-neg-out_binary64_4132`
7×	`--rgt-identity_binary64_4156` `associate-+r+_binary64_4102`
6×	`mul-1-neg_binary64_4162`
5×	`+-rgt-identity_binary64_4155`
4×	`distribute-lft-out_binary64_4121`
2×	`distribute-lft-out--_binary64_4122`
1×	`1-exp_binary64_4214` `swap-sqr_binary64_4137`
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` `unpow1/2_binary64_4234` `pow-plus_binary64_4233` `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` `exp-prod_binary64_4222` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `exp-diff_binary64_4218` `exp-neg_binary64_4217` `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-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` `sqr-neg_binary64_4184` `rem-sqrt-square_binary64_4183` `rem-square-sqrt_binary64_4182` `*-inverses_binary64_4150` `+-inverses_binary64_4149` `lft-mult-inverse_binary64_4148` `rgt-mult-inverse_binary64_4147` `pow-sqr_binary64_4143` `sqr-pow_binary64_4142` `difference-of-sqr--1_binary64_4141` `difference-of-sqr-1_binary64_4140` `difference-of-squares_binary64_4139` `unswap-sqr_binary64_4138` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `count-2_binary64_4118`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

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

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

51.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
25.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite157.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

48.7b

Rules

20×	`add-sqr-sqrt_binary64_4192`
14×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `*-un-lft-identity_binary64_4170`
9×	`pow1_binary64_4231`
8×	`add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`
6×	`difference-of-squares_binary64_4139` `times-frac_binary64_4176` `associate-/l*_binary64_4115`
4×	`cancel-sign-sub-inv_binary64_4136` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
3×	`flip3--_binary64_4174` `flip--_binary64_4145` `sqrt-prod_binary64_4186` `distribute-lft-out--_binary64_4122` `pow-prod-down_binary64_4241` `associate-r_binary64_4110`
2×	`diff-log_binary64_4262` `sub-neg_binary64_4163` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117`
1×	`associate-l_binary64_4111` `-commutative_binary64_4101` `frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/r_binary64_4114`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
13.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series641.0ms (3.1%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

203.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
160.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
57.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64_4115`
244×	`distribute-rgt-in_binary64_4120`
224×	`distribute-rgt-neg-in_binary64_4128`
216×	`distribute-lft-in_binary64_4119`
205×	`distribute-lft-neg-in_binary64_4127`
181×	`cancel-sign-sub-inv_binary64_4136`
170×	`associate-l_binary64_4111`
166×	`associate-r_binary64_4110`
162×	`associate-/r/_binary64_4116`
152×	`associate-/l/_binary64_4117`
112×	`*-commutative_binary64_4101`
99×	`unswap-sqr_binary64_4138`
79×	`sub-neg_binary64_4163`
77×	`distribute-neg-frac_binary64_4134`
76×	`times-frac_binary64_4176`
75×	`associate-/r*_binary64_4114`
73×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
63×	`distribute-neg-in_binary64_4131`
59×	`div-sub_binary64_4175`
54×	`sqr-pow_binary64_4142`
52×	`exp-prod_binary64_4222`
45×	`+-commutative_binary64_4100`
34×	`associate-*l/_binary64_4113`
32×	`associate-*r/_binary64_4112`
29×	`distribute-rgt-out_binary64_4123`
25×	`cube-prod_binary64_4198` `unsub-neg_binary64_4164` `distribute-lft-neg-out_binary64_4129`
24×	`associate-+r+_binary64_4102`
22×	`associate-+l+_binary64_4103`
21×	`log-prod_binary64_4256`
18×	`swap-sqr_binary64_4137` `associate--r+_binary64_4106`
17×	`distribute-lft-out_binary64_4121`
13×	`-rgt-identity_binary64_4160` `-lft-identity_binary64_4159`
12×	`distribute-rgt-neg-out_binary64_4130`
10×	`unpow3_binary64_4236`
9×	`cube-mult_binary64_4200`
8×	`/-rgt-identity_binary64_4161` `difference-of-squares_binary64_4139`
7×	`exp-sum_binary64_4216` `associate-+r-_binary64_4104`
6×	`log-div_binary64_4257` `exp-diff_binary64_4218` `+-rgt-identity_binary64_4155`
5×	`cube-unmult_binary64_4207`
4×	`pow-plus_binary64_4233` `pow-sqr_binary64_4143`
3×	`unpow2_binary64_4235` `unpow1/2_binary64_4234` `unpow1_binary64_4228` `exp-lft-cube_binary64_4226` `exp-cbrt_binary64_4224` `cube-div_binary64_4199` `rem-sqrt-square_binary64_4183` `mul-1-neg_binary64_4162` `associate-+l-_binary64_4105`
2×	`log-pow_binary64_4259` `div-exp_binary64_4221` `rem-square-sqrt_binary64_4182` `distribute-neg-out_binary64_4132` `distribute-lft-out--_binary64_4122`
1×	`1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-3cbrt-lft_binary64_4195` `remove-double-neg_binary64_4158` `*-inverses_binary64_4150` `count-2_binary64_4118` `associate--r-_binary64_4109` `associate--l-_binary64_4108` `associate--l+_binary64_4107`
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-sqr_binary64_4225` `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-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `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_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` `cancel-sign-sub_binary64_4135` `distribute-frac-neg_binary64_4133` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `distribute-rgt-out--_binary64_4124`

Counts

137 → 203

Iterations

Useful iterations: 2 (0.0ms)

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

prune305.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	195	8	203
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	8	204

Error

0.2b

Counts

204 → 8

Compiler

Compiled 5979 to 3328 computations (44.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite632.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

156×	`add-exp-log_binary64_4208`
72×	`prod-exp_binary64_4219`
60×	`div-exp_binary64_4221`
46×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238`
32×	`add-cbrt-cube_binary64_4206`
26×	`times-frac_binary64_4176` `associate-/r*_binary64_4114`
24×	`add-sqr-sqrt_binary64_4192`
22×	`unpow-prod-down_binary64_4249`
21×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
12×	`associate-r_binary64_4110`
10×	`cbrt-unprod_binary64_4203` `cube-prod_binary64_4198`
8×	`cbrt-undiv_binary64_4204` `sqr-pow_binary64_4142`
4×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
3×	`frac-2neg_binary64_4181` `unpow3_binary64_4236` `cube-mult_binary64_4200` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l*_binary64_4115`
1×	`associate-l_binary64_4111` `*-commutative_binary64_4101`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9557 to 5961 computations (37.6% saved)

series1.0s (4.8%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

320.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
282.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
228.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

545×	`unswap-sqr_binary64_4138`
366×	`associate-/l*_binary64_4115`
360×	`times-frac_binary64_4176`
271×	`associate-l_binary64_4111`
235×	`associate-r_binary64_4110`
226×	`associate-/r*_binary64_4114`
158×	`log-prod_binary64_4256`
106×	`associate-/l/_binary64_4117`
101×	`associate-*l/_binary64_4113`
94×	`log-div_binary64_4257`
93×	`cube-prod_binary64_4198`
83×	`sqr-pow_binary64_4142`
79×	`*-commutative_binary64_4101`
65×	`associate-*r/_binary64_4112`
58×	`sub-neg_binary64_4163` `associate-/r/_binary64_4116`
57×	`cube-div_binary64_4199`
52×	`*-rgt-identity_binary64_4160`
45×	`exp-prod_binary64_4222`
44×	`log-pow_binary64_4259`
32×	`distribute-rgt-neg-in_binary64_4128`
29×	`cancel-sign-sub-inv_binary64_4136`
28×	`distribute-lft-neg-in_binary64_4127`
26×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165` `associate--l+_binary64_4107`
25×	`cube-unmult_binary64_4207`
20×	`/-rgt-identity_binary64_4161` `+-commutative_binary64_4100`
17×	`pow-plus_binary64_4233`
16×	`pow-sqr_binary64_4143` `swap-sqr_binary64_4137`
15×	`log-rec_binary64_4258` `*-lft-identity_binary64_4159`
12×	`rem-sqrt-square_binary64_4183`
10×	`unpow3_binary64_4236` `distribute-neg-frac_binary64_4134`
9×	`cube-mult_binary64_4200` `associate-+l+_binary64_4103`
5×	`unsub-neg_binary64_4164`
4×	`div-sub_binary64_4175`
3×	`distribute-lft-neg-out_binary64_4129`
2×	`unpow2_binary64_4235` `unpow1/2_binary64_4234` `unpow1_binary64_4228` `rem-cbrt-cube_binary64_4194` `rem-cube-cbrt_binary64_4193` `rem-square-sqrt_binary64_4182` `count-2_binary64_4118` `associate-+r+_binary64_4102`
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` `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-lft-sqr_binary64_4225` `exp-cbrt_binary64_4224` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `exp-diff_binary64_4218` `exp-neg_binary64_4217` `exp-sum_binary64_4216` `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` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `mul-1-neg_binary64_4162` `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` `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-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `distribute-rgt-out--_binary64_4124` `distribute-rgt-out_binary64_4123` `distribute-lft-out--_binary64_4122` `distribute-lft-out_binary64_4121` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `associate--r-_binary64_4109` `associate--l-_binary64_4108` `associate--r+_binary64_4106` `associate-+l-_binary64_4105` `associate-+r-_binary64_4104`

Counts

219 → 213

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3885
1	616	3482
2	3320	3467
3	4972	3467
4	4950	3467

prune638.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	213	8	221

Error

0.2b

Counts

221 → 8

Compiler

Compiled 10732 to 6703 computations (37.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite562.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

46×	`pow1_binary64_4231`
36×	`add-exp-log_binary64_4208`
26×	`add-cbrt-cube_binary64_4206`
23×	`add-sqr-sqrt_binary64_4192`
19×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219`
13×	`unpow-prod-down_binary64_4249`
11×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170` `cbrt-unprod_binary64_4203`
10×	`associate-*r/_binary64_4112`
9×	`sqr-pow_binary64_4142` `unswap-sqr_binary64_4138`
8×	`pow-exp_binary64_4238` `associate-l_binary64_4111` `associate-r_binary64_4110`
7×	`pow-to-exp_binary64_4239` `associate-/l/_binary64_4117`
5×	`frac-sub_binary64_4179`
4×	`add-log-exp_binary64_4209` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143` `frac-add_binary64_4178`
3×	`pow-unpow_binary64_4247` `times-frac_binary64_4176` `associate-/l*_binary64_4115`
2×	`pow-pow_binary64_4242` `rem-cube-cbrt_binary64_4193` `pow-plus_binary64_4233` `*-commutative_binary64_4101` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `flip3-+_binary64_4173` `flip-+_binary64_4144`
1×	`unpow3_binary64_4236` `cube-mult_binary64_4200` `cube-prod_binary64_4198` `pow2_binary64_4251` `swap-sqr_binary64_4137` `frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `div-inv_binary64_4167` `flip3--_binary64_4174` `flip--_binary64_4145` `associate-/r*_binary64_4114`

Counts

4 → 127

Calls

4 calls:

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

Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series712.0ms (3.4%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

326.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
126.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
104.0ms	(pow.f64 (*.f64 a c) 3)
89.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_4138`
340×	`associate-r_binary64_4110`
327×	`associate-l_binary64_4111`
302×	`log-prod_binary64_4256`
171×	`*-commutative_binary64_4101`
119×	`exp-prod_binary64_4222`
116×	`swap-sqr_binary64_4137`
112×	`cancel-sign-sub-inv_binary64_4136`
110×	`div-sub_binary64_4175`
96×	`times-frac_binary64_4176`
89×	`associate-/l*_binary64_4115`
83×	`sqr-pow_binary64_4142` `distribute-rgt-in_binary64_4120`
75×	`distribute-lft-in_binary64_4119`
74×	`cube-prod_binary64_4198`
70×	`associate-*r/_binary64_4112`
69×	`associate-*l/_binary64_4113`
65×	`sub-neg_binary64_4163` `associate-/r*_binary64_4114`
43×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
36×	`+-commutative_binary64_4100`
32×	`associate-+r+_binary64_4102`
29×	`associate-+l+_binary64_4103`
28×	`log-pow_binary64_4259`
21×	`distribute-rgt-neg-in_binary64_4128`
18×	`unsub-neg_binary64_4164` `distribute-neg-in_binary64_4131` `associate--r+_binary64_4106`
17×	`distribute-lft-neg-in_binary64_4127`
15×	`cube-unmult_binary64_4207` `pow-sqr_binary64_4143` `associate-/r/_binary64_4116`
12×	`rem-sqrt-square_binary64_4183`
10×	`*-lft-identity_binary64_4159`
9×	`pow-plus_binary64_4233` `*-rgt-identity_binary64_4160`
7×	`unpow1_binary64_4228`
6×	`unpow2_binary64_4235` `distribute-neg-frac_binary64_4134`
5×	`log-div_binary64_4257` `unpow3_binary64_4236` `associate-/l/_binary64_4117`
4×	`cube-mult_binary64_4200` `distribute-rgt-out--_binary64_4124`
3×	`unpow1/2_binary64_4234` `exp-cbrt_binary64_4224` `associate-+r-_binary64_4104`
2×	`exp-diff_binary64_4218` `cube-div_binary64_4199` `rem-square-sqrt_binary64_4182` `distribute-lft-neg-out_binary64_4129` `distribute-rgt-out_binary64_4123` `count-2_binary64_4118` `associate--r-_binary64_4109` `associate--l+_binary64_4107` `associate-+l-_binary64_4105`
1×	`exp-sum_binary64_4216` `1-exp_binary64_4214` `exp-1-e_binary64_4213` `rem-cbrt-cube_binary64_4194` `/-rgt-identity_binary64_4161` `remove-double-neg_binary64_4158` `sub0-neg_binary64_4157` `+-rgt-identity_binary64_4155`
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-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `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-cube-cbrt_binary64_4193` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `mul-1-neg_binary64_4162` `--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` `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_4122` `distribute-lft-out_binary64_4121` `associate--l-_binary64_4108`

Counts

166 → 328

Iterations

Useful iterations: 2 (0.0ms)

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

prune1.6s (7.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	325	11	336

Error

0.2b

Counts

336 → 11

Compiler

Compiled 23172 to 13787 computations (40.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3))
0.8b	(pow.f64 (*.f64 a c) 3)
0.8b	(pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite519.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

20×	`cbrt-prod_binary64_4201`
16×	`unpow-prod-down_binary64_4249` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-exp-log_binary64_4208`
15×	`cube-prod_binary64_4198`
13×	`add-cbrt-cube_binary64_4206`
12×	`times-frac_binary64_4176`
11×	`pow1_binary64_4231`
9×	`pow-unpow_binary64_4247`
7×	`pow-exp_binary64_4238`
5×	`pow-pow_binary64_4242` `rem-cube-cbrt_binary64_4193`
4×	`add-log-exp_binary64_4209` `sqr-pow_binary64_4142` `div-inv_binary64_4167`
3×	`pow-to-exp_binary64_4239` `prod-exp_binary64_4219` `unpow3_binary64_4236` `cube-mult_binary64_4200`
2×	`pow-prod-down_binary64_4241` `div-exp_binary64_4221` `cube-div_binary64_4199` `cbrt-undiv_binary64_4204` `cbrt-unprod_binary64_4203`
1×	`pow1/3_binary64_4252` `cbrt-div_binary64_4202` `rem-cbrt-cube_binary64_4194`

Counts

4 → 105

Calls

4 calls:

26.0ms	(pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3)
23.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8165 to 5274 computations (35.4% saved)

series1.4s (6.8%)

Error

0.2b

Counts

4 → 69

Calls

4 calls:

697.0ms	(pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3)
402.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)) 3))
102.0ms	(pow.f64 (*.f64 a c) 3)
96.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 5626 to 4549 computations (19.1% saved)

simplify208.0ms (1%)

Algorithm

1×	egg-herbie

Rules

497×	`unswap-sqr_binary64_4138`
200×	`associate-r_binary64_4110`
156×	`log-prod_binary64_4256`
155×	`sqr-pow_binary64_4142`
153×	`times-frac_binary64_4176`
139×	`associate-l_binary64_4111`
136×	`exp-prod_binary64_4222`
127×	`associate-/l*_binary64_4115`
107×	`*-commutative_binary64_4101`
105×	`associate-/r*_binary64_4114`
100×	`swap-sqr_binary64_4137`
91×	`cube-prod_binary64_4198`
72×	`associate-*r/_binary64_4112`
71×	`associate-*l/_binary64_4113`
61×	`div-sub_binary64_4175`
57×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165`
50×	`sub-neg_binary64_4163`
49×	`+-commutative_binary64_4100`
42×	`distribute-neg-in_binary64_4131`
38×	`associate-+r+_binary64_4102`
36×	`unsub-neg_binary64_4164`
32×	`distribute-rgt-in_binary64_4120`
31×	`associate-+l+_binary64_4103`
30×	`cube-div_binary64_4199`
26×	`log-div_binary64_4257`
24×	`unpow3_binary64_4236`
22×	`log-pow_binary64_4259` `cube-mult_binary64_4200` `pow-sqr_binary64_4143` `associate--r+_binary64_4106`
20×	`distribute-lft-in_binary64_4119`
18×	`associate-/r/_binary64_4116`
17×	`cube-unmult_binary64_4207`
16×	`rem-sqrt-square_binary64_4183`
14×	`rem-cbrt-cube_binary64_4194` `distribute-rgt-neg-in_binary64_4128`
11×	`pow-plus_binary64_4233` `distribute-lft-neg-in_binary64_4127`
8×	`exp-cbrt_binary64_4224`
7×	`distribute-neg-frac_binary64_4134`
4×	`unpow1/2_binary64_4234` `unpow1_binary64_4228` `exp-diff_binary64_4218` `-rgt-identity_binary64_4160` `-lft-identity_binary64_4159`
3×	`unpow2_binary64_4235`
2×	`rem-cube-cbrt_binary64_4193` `rem-square-sqrt_binary64_4182` `cancel-sign-sub-inv_binary64_4136` `associate-/l/_binary64_4117`
1×	`exp-sum_binary64_4216` `1-exp_binary64_4214` `rem-3cbrt-lft_binary64_4195` `+-rgt-identity_binary64_4155` `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` `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-lft-sqr_binary64_4225` `exp-sqrt_binary64_4223` `div-exp_binary64_4221` `rec-exp_binary64_4220` `prod-exp_binary64_4219` `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` `sqr-abs_binary64_4185` `sqr-neg_binary64_4184` `mul-1-neg_binary64_4162` `/-rgt-identity_binary64_4161` `remove-double-neg_binary64_4158` `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` `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-lft-neg-out_binary64_4129` `distribute-rgt1-in_binary64_4126` `distribute-lft1-in_binary64_4125` `distribute-rgt-out--_binary64_4124` `distribute-rgt-out_binary64_4123` `distribute-lft-out--_binary64_4122` `distribute-lft-out_binary64_4121` `count-2_binary64_4118` `associate--r-_binary64_4109` `associate--l-_binary64_4108` `associate--l+_binary64_4107` `associate-+l-_binary64_4105`

Counts

174 → 282

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	10156
1	720	9204
2	2828	8944
3	4917	8944

prune1.7s (8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	282	11	293

Error

0.2b

Counts

293 → 11

Compiler

Compiled 19158 to 12667 computations (33.9% saved)

regimes2.4s (11.4%)

Accuracy

Total 1.3b remaining (88.4%)

Threshold costs 0b (0%)

Compiler

Compiled 41917 to 28663 computations (31.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64_4101`
28×	`+-commutative_binary64_4100`
25×	`neg-mul-1_binary64_4166` `neg-sub0_binary64_4165` `sub-neg_binary64_4163`
14×	`distribute-rgt-neg-in_binary64_4128` `distribute-lft-neg-in_binary64_4127`
6×	`unsub-neg_binary64_4164` `distribute-neg-in_binary64_4131`
4×	`distribute-neg-frac_binary64_4134`
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` `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-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	36	69
1	53	69
2	71	69
3	99	69
4	141	69
5	173	69
6	208	69
7	227	69
8	237	69
9	241	69
10	241	69

end0.0ms (0%)

sample7.1s (34.2%)

Algorithm

1×

intervals

Results

381.0ms	3806×	body	256	valid
263.0ms	8815×	pre	128	true
214.0ms	1450×	body	512	valid
139.0ms	2744×	body	128	valid
37.0ms	815×	body	128	nan

Compiler

Compiled 8259 to 5648 computations (31.6% saved)

Iter	Nodes	Cost
0	36	69
1	53	69
2	71	69
3	99	69
4	141	69
5	173	69
6	208	69
7	227	69
8	237	69
9	241	69
10	241	69

Iter	Nodes	Cost
0	36	69
1	53	69
2	71	69
3	99	69
4	141	69
5	173	69
6	208	69
7	227	69
8	237	69
9	241	69
10	241	69

Details

analyze268.0ms (1.3%)

sample51.0ms (0.2%)

simplify418.0ms (2%)

prune4.0ms (0%)

localize9.0ms (0%)

rewrite157.0ms (0.8%)

series641.0ms (3.1%)

simplify95.0ms (0.5%)

prune305.0ms (1.5%)

localize33.0ms (0.2%)

rewrite632.0ms (3%)

series1.0s (4.8%)

simplify157.0ms (0.8%)

prune638.0ms (3.1%)

localize32.0ms (0.2%)

rewrite562.0ms (2.7%)

series712.0ms (3.4%)

simplify158.0ms (0.8%)

prune1.6s (7.8%)

localize34.0ms (0.2%)

rewrite519.0ms (2.5%)

series1.4s (6.8%)

simplify208.0ms (1%)

prune1.7s (8%)

regimes2.4s (11.4%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample7.1s (34.2%)

Profiling

Iter	Nodes	Cost
0	36	69
1	53	69
2	71	69
3	99	69
4	141	69
5	173	69
6	208	69
7	227	69
8	237	69
9	241	69
10	241	69