Details

analyze541.0ms (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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
11.0ms	289×	pre	128	true
2.0ms	33×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify260.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

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

28.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.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))
27.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite158.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

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:

12.0ms	(/.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 1865 to 1088 computations (41.7% saved)

series870.0ms (6.1%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

309.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
230.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
219.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
83.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2012 to 1674 computations (16.8% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5268	2923

prune135.0ms (0.9%)

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

0.8b

Counts

138 → 13

Compiler

Compiled 2121 to 1233 computations (41.9% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite619.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

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×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `-commutative_binary64_4442` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l_binary64_4456`

Counts

4 → 188

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7273 to 4615 computations (36.5% saved)

series1.3s (9.1%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

534.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
437.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
182.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
141.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2790 to 2195 computations (21.3% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune328.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	218	13	231

Error

0.8b

Counts

231 → 13

Compiler

Compiled 4866 to 3102 computations (36.3% saved)

localize32.0ms (0.2%)

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 -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)

rewrite606.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

83×	`add-exp-log_binary64_4549`
46×	`pow1_binary64_4572`
37×	`prod-exp_binary64_4560`
32×	`div-exp_binary64_4562`
30×	`pow-exp_binary64_4579`
29×	`pow-to-exp_binary64_4580` `add-cbrt-cube_binary64_4547`
18×	`pow-prod-down_binary64_4582`
11×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511` `cbrt-unprod_binary64_4544`
10×	`times-frac_binary64_4517` `associate-*r/_binary64_4453`
8×	`associate-/r*_binary64_4455`
7×	`unpow-prod-down_binary64_4590` `associate-/l/_binary64_4458`
5×	`frac-sub_binary64_4520`
4×	`add-log-exp_binary64_4550` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `cbrt-undiv_binary64_4545` `frac-add_binary64_4519` `associate-/l*_binary64_4456`
3×	`pow-unpow_binary64_4588` `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×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `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 → 142

Calls

4 calls:

33.0ms	(/.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))
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 7654 to 4555 computations (40.5% saved)

series1.3s (8.8%)

Error

0.8b

Counts

4 → 42

Calls

4 calls:

509.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
484.0ms	(/.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))
136.0ms	(pow.f64 (*.f64 a c) 3)
118.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3044 to 2320 computations (23.8% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5053	4495

prune454.0ms (3.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	173	11	184
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	175	22	197

Error

0.6b

Counts

197 → 22

Compiler

Compiled 7111 to 4405 computations (38.1% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite702.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

35×	`times-frac_binary64_4517`
33×	`add-exp-log_binary64_4549`
29×	`unpow-prod-down_binary64_4590`
27×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
17×	`sqr-pow_binary64_4483`
16×	`pow-exp_binary64_4579`
13×	`pow1_binary64_4572`
12×	`div-exp_binary64_4562`
10×	`pow-to-exp_binary64_4580`
9×	`pow-unpow_binary64_4588` `add-cbrt-cube_binary64_4547`
7×	`associate-/r*_binary64_4455`
6×	`pow-pow_binary64_4583` `prod-exp_binary64_4560`
5×	`associate-/l*_binary64_4456`
4×	`add-log-exp_binary64_4550`
3×	`pow-prod-down_binary64_4582`
2×	`rem-cube-cbrt_binary64_4534`
1×	`unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `cbrt-unprod_binary64_4544` `unpow2_binary64_4576` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 127

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 6417 to 3908 computations (39.1% saved)

series911.0ms (6.4%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

503.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
140.0ms	(pow.f64 (*.f64 a c) 3)
137.0ms	(pow.f64 (*.f64 a c) 4)
113.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 2907 to 2154 computations (25.9% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5091	2247

prune478.0ms (3.3%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	20	20
Picked	0	1	1
Done	0	1	1
Total	154	22	176

Error

0.6b

Counts

176 → 22

Compiler

Compiled 4813 to 2905 computations (39.6% saved)

regimes2.8s (19.2%)

Accuracy

Total 5.2b remaining (88.9%)

Threshold costs 0b (0%)

Compiler

Compiled 41237 to 28341 computations (31.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	188	67
1	188	67

end3.0ms (0%)

Compiler: Compiled 45 to 35 computations (22.2% saved)

sample2.5s (17.2%)

Algorithm

1×

intervals

Results

410.0ms	7686×	body	128	valid
260.0ms	8951×	pre	128	true
43.0ms	951×	body	128	nan
34.0ms	314×	body	256	valid

Compiler

Compiled 1885 to 1269 computations (32.7% saved)

Details

analyze541.0ms (3.8%)

sample40.0ms (0.3%)

simplify260.0ms (1.8%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite158.0ms (1.1%)

series870.0ms (6.1%)

simplify56.0ms (0.4%)

prune135.0ms (0.9%)

localize30.0ms (0.2%)

rewrite619.0ms (4.3%)

series1.3s (9.1%)

simplify98.0ms (0.7%)

prune328.0ms (2.3%)

localize32.0ms (0.2%)

rewrite606.0ms (4.2%)

series1.3s (8.8%)

simplify95.0ms (0.7%)

prune454.0ms (3.2%)

localize29.0ms (0.2%)

rewrite702.0ms (4.9%)

series911.0ms (6.4%)

simplify60.0ms (0.4%)

prune478.0ms (3.3%)

regimes2.8s (19.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end3.0ms (0%)

sample2.5s (17.2%)

Profiling