Details

analyze499.0ms (3.1%)

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)

sample41.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	246×	body	128	valid
8.0ms	290×	pre	128	true
4.0ms	34×	body	128	nan
1.0ms	10×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify283.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

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

28.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite145.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

26.3b

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)

series629.0ms (3.9%)

Error

1.2b

Counts

4 → 60

Calls

4 calls:

200.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
156.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune169.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.9b

Counts

138 → 13

Compiler

Compiled 3370 to 1890 computations (43.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite701.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

155×	`add-exp-log_binary64_4549`
72×	`prod-exp_binary64_4560`
60×	`div-exp_binary64_4562`
50×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579`
40×	`add-sqr-sqrt_binary64_4533`
31×	`unpow-prod-down_binary64_4590`
29×	`add-cbrt-cube_binary64_4547`
26×	`times-frac_binary64_4517` `associate-/r*_binary64_4455`
23×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
15×	`sqr-pow_binary64_4483`
12×	`unswap-sqr_binary64_4479` `cube-prod_binary64_4539` `associate-l_binary64_4452`
8×	`cbrt-undiv_binary64_4545` `cbrt-unprod_binary64_4544`
7×	`associate-r_binary64_4451`
4×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
3×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l*_binary64_4456` `unpow3_binary64_4577` `cube-mult_binary64_4541`
1×	`*-commutative_binary64_4442`

Counts

4 → 202

Calls

4 calls:

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

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series982.0ms (6.2%)

Error

0.9b

Counts

4 → 33

Calls

4 calls:

331.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
262.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
203.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5089	3808

prune778.0ms (4.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	234	14	248

Error

0.9b

Counts

248 → 14

Compiler

Compiled 11841 to 7419 computations (37.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
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))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite604.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

73×	`add-exp-log_binary64_4549`
46×	`pow1_binary64_4572`
42×	`add-cbrt-cube_binary64_4547`
34×	`prod-exp_binary64_4560`
18×	`pow-prod-down_binary64_4582` `cbrt-unprod_binary64_4544`
17×	`div-exp_binary64_4562`
15×	`times-frac_binary64_4517`
13×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `-un-lft-identity_binary64_4511` `associate-/r_binary64_4455`
10×	`associate-*r/_binary64_4453`
7×	`unpow-prod-down_binary64_4590` `pow-exp_binary64_4579` `cube-prod_binary64_4539` `cbrt-undiv_binary64_4545` `associate-/l/_binary64_4458`
6×	`pow-to-exp_binary64_4580`
5×	`frac-sub_binary64_4520`
4×	`add-log-exp_binary64_4550` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `frac-add_binary64_4519` `associate-/l*_binary64_4456`
3×	`pow-unpow_binary64_4588` `unpow3_binary64_4577` `cube-mult_binary64_4541` `sqr-pow_binary64_4483`
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` `flip3-+_binary64_4514` `flip-+_binary64_4485`
1×	`pow2_binary64_4592` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451` `*-commutative_binary64_4442` `div-sub_binary64_4516` `flip3--_binary64_4515` `flip--_binary64_4486`

Counts

4 → 140

Calls

4 calls:

30.0ms	(/.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))
12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9613 to 5645 computations (41.3% saved)

series850.0ms (5.3%)

Error

0.9b

Counts

4 → 42

Calls

4 calls:

335.0ms	(/.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))
247.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
104.0ms	(pow.f64 (*.f64 a c) 3)
96.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3270 computations (24.4% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5124	4394

prune606.0ms (3.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	176	20	196

Error

0.8b

Counts

196 → 20

Compiler

Compiled 11356 to 7148 computations (37.1% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3)) 9/8) (.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))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite290.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

18×	`add-exp-log_binary64_4549`
13×	`pow1_binary64_4572`
12×	`add-cbrt-cube_binary64_4547`
9×	`add-cube-cbrt_binary64_4546` `pow-unpow_binary64_4588` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
6×	`pow-pow_binary64_4583` `pow-exp_binary64_4579`
5×	`associate-/l/_binary64_4458`
4×	`prod-exp_binary64_4560` `add-log-exp_binary64_4550` `associate-*r/_binary64_4453` `frac-add_binary64_4519`
3×	`unpow-prod-down_binary64_4590` `pow-prod-down_binary64_4582` `pow-to-exp_binary64_4580` `sqr-pow_binary64_4483` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
2×	`rem-cube-cbrt_binary64_4534` `cbrt-unprod_binary64_4544` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `flip3-+_binary64_4514` `flip-+_binary64_4485`
1×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `unpow2_binary64_4576` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-l/_binary64_4454` `associate-/r_binary64_4455`

Counts

4 → 83

Calls

4 calls:

22.0ms	(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3)) 9/8) (.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))
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.1s (6.9%)

Error

0.8b

Counts

4 → 35

Calls

4 calls:

738.0ms	(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3)) 9/8) (.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))
108.0ms	(pow.f64 (*.f64 a c) 3)
102.0ms	(pow.f64 (*.f64 a c) 4)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5066	2870

prune307.0ms (1.9%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	17	17
Picked	0	1	1
Done	0	2	2
Total	118	20	138

Error

0.8b

Counts

138 → 20

Compiler

Compiled 6426 to 3852 computations (40.1% saved)

regimes1.9s (12.1%)

Accuracy

Total 4.6b remaining (88%)

Threshold costs 0b (0%)

Compiler

Compiled 31472 to 21454 computations (31.8% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	333	143
1	333	143

end0.0ms (0%)

sample5.6s (35.1%)

Algorithm

1×

intervals

Results

391.0ms	7683×	body	128	valid
276.0ms	9016×	pre	128	true
50.0ms	1016×	body	128	nan
30.0ms	317×	body	256	valid

Compiler

Compiled 6231 to 4247 computations (31.8% saved)

Details

analyze499.0ms (3.1%)

sample41.0ms (0.3%)

simplify283.0ms (1.8%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite145.0ms (0.9%)

series629.0ms (3.9%)

simplify56.0ms (0.4%)

prune169.0ms (1.1%)

localize28.0ms (0.2%)

rewrite701.0ms (4.4%)

series982.0ms (6.2%)

simplify97.0ms (0.6%)

prune778.0ms (4.9%)

localize32.0ms (0.2%)

rewrite604.0ms (3.8%)

series850.0ms (5.3%)

simplify96.0ms (0.6%)

prune606.0ms (3.8%)

localize29.0ms (0.2%)

rewrite290.0ms (1.8%)

series1.1s (6.9%)

simplify53.0ms (0.3%)

prune307.0ms (1.9%)

regimes1.9s (12.1%)

bsearch12.0ms (0.1%)

simplify7.0ms (0%)

end0.0ms (0%)

sample5.6s (35.1%)

Profiling