Details

analyze483.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

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

Compiler

Compiled 30 to 24 computations (20% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
11.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify283.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

28.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite137.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

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

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series611.0ms (4.8%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

202.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
145.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
142.0ms	(-.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)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune157.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	123	14	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	15	138

Error

0.6b

Counts

138 → 15

Compiler

Compiled 3331 to 1872 computations (43.8% saved)

localize31.0ms (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))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite664.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

144×	`add-exp-log_binary64_4549`
72×	`prod-exp_binary64_4560`
51×	`div-exp_binary64_4562`
49×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579`
40×	`add-sqr-sqrt_binary64_4533`
29×	`unpow-prod-down_binary64_4590`
25×	`add-cbrt-cube_binary64_4547`
20×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
19×	`associate-r_binary64_4451`
16×	`unswap-sqr_binary64_4479`
15×	`sqr-pow_binary64_4483`
14×	`times-frac_binary64_4517` `associate-/r*_binary64_4455`
13×	`associate-l_binary64_4452`
10×	`cube-prod_binary64_4539`
8×	`cbrt-unprod_binary64_4544`
5×	`cbrt-undiv_binary64_4545`
4×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l_binary64_4456` `unpow3_binary64_4577` `cube-mult_binary64_4541` `-commutative_binary64_4442`

Counts

4 → 188

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series886.0ms (7%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

329.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
284.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
109.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
102.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune604.0ms (4.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	217	16	233

Error

0.6b

Counts

233 → 16

Compiler

Compiled 10976 to 6969 computations (36.5% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite518.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

127×	`add-exp-log_binary64_4549`
60×	`prod-exp_binary64_4560`
46×	`pow1_binary64_4572`
45×	`div-exp_binary64_4562`
42×	`add-cbrt-cube_binary64_4547`
35×	`pow-exp_binary64_4579`
34×	`pow-to-exp_binary64_4580`
19×	`times-frac_binary64_4517` `associate-/r*_binary64_4455`
18×	`pow-prod-down_binary64_4582` `cbrt-unprod_binary64_4544`
15×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
13×	`unpow-prod-down_binary64_4590`
7×	`cube-prod_binary64_4539` `cbrt-undiv_binary64_4545`
5×	`sqr-pow_binary64_4483`
4×	`add-log-exp_binary64_4550` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
3×	`pow-unpow_binary64_4588` `unpow3_binary64_4577` `cube-mult_binary64_4541`
2×	`pow-pow_binary64_4583` `rem-cube-cbrt_binary64_4534` `pow-plus_binary64_4574` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l*_binary64_4456`
1×	`pow2_binary64_4592` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451` `*-commutative_binary64_4442`

Counts

4 → 168

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9569 to 5620 computations (41.3% saved)

series804.0ms (6.4%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

315.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
231.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4626 to 3315 computations (28.3% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune623.0ms (4.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	197	17	214

Error

0.6b

Counts

214 → 17

Compiler

Compiled 10716 to 6575 computations (38.6% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
29.1b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite542.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

85×	`add-exp-log_binary64_4549`
45×	`prod-exp_binary64_4560`
40×	`add-sqr-sqrt_binary64_4533`
26×	`unpow-prod-down_binary64_4590`
21×	`pow-to-exp_binary64_4580` `div-exp_binary64_4562` `pow-exp_binary64_4579`
20×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511` `add-cbrt-cube_binary64_4547`
19×	`associate-r_binary64_4451`
16×	`unswap-sqr_binary64_4479`
14×	`times-frac_binary64_4517` `sqr-pow_binary64_4483`
13×	`associate-l_binary64_4452`
12×	`log-pow_binary64_4600`
11×	`exp-prod_binary64_4563`
10×	`cube-prod_binary64_4539`
7×	`cbrt-unprod_binary64_4544` `associate-/r*_binary64_4455`
5×	`pow1_binary64_4572`
4×	`add-log-exp_binary64_4550`
3×	`log-prod_binary64_4597` `cbrt-undiv_binary64_4545`
2×	`div-inv_binary64_4508` `unpow3_binary64_4577` `cube-mult_binary64_4541` `*-commutative_binary64_4442`
1×	`rem-log-exp_binary64_4552` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `associate-/l*_binary64_4456`

Counts

4 → 154

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8374 to 5402 computations (35.5% saved)

series1.4s (10.8%)

Error

0.6b

Counts

4 → 32

Calls

4 calls:

771.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
296.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
121.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
105.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4346 to 3261 computations (25% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5372	2805

prune508.0ms (4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	13	13
Picked	0	1	1
Done	0	3	3
Total	185	18	203

Error

0.6b

Counts

203 → 18

Compiler

Compiled 9410 to 5993 computations (36.3% saved)

regimes1.0s (8%)

Accuracy

Total 4.5b remaining (86.4%)

Threshold costs 0b (0%)

Compiler

Compiled 12611 to 9239 computations (26.7% saved)

bsearch4.0ms (0%)

Steps

Iters	Range		Point
0	0.1447697808194505	0.1482995500661134	0.14653466544278193

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	265	118
1	265	118

end0.0ms (0%)

sample3.0s (23.6%)

Algorithm

1×

intervals

Results

387.0ms	7710×	body	128	valid
278.0ms	9007×	pre	128	true
46.0ms	1007×	body	128	nan
31.0ms	290×	body	256	valid

Compiler

Compiled 2440 to 1789 computations (26.7% saved)

Details

analyze483.0ms (3.8%)

sample39.0ms (0.3%)

simplify283.0ms (2.2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite137.0ms (1.1%)

series611.0ms (4.8%)

simplify53.0ms (0.4%)

prune157.0ms (1.2%)

localize31.0ms (0.2%)

rewrite664.0ms (5.3%)

series886.0ms (7%)

simplify100.0ms (0.8%)

prune604.0ms (4.8%)

localize33.0ms (0.3%)

rewrite518.0ms (4.1%)

series804.0ms (6.4%)

simplify78.0ms (0.6%)

prune623.0ms (4.9%)

localize34.0ms (0.3%)

rewrite542.0ms (4.3%)

series1.4s (10.8%)

simplify78.0ms (0.6%)

prune508.0ms (4%)

regimes1.0s (8%)

bsearch4.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.0s (23.6%)

Profiling