Details

analyze693.0ms (5%)

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)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	109×	body	256	valid
8.0ms	289×	pre	128	true
8.0ms	53×	body	512	valid
5.0ms	94×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify284.0ms (2%)

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

51.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.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))
0.2b	(.f64 (.f64 3 a) c)
26.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite152.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

49.0b

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×	`associate-l_binary64_4452` `-commutative_binary64_4442` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/r_binary64_4455`

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)
8.0ms	(.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)

series628.0ms (4.5%)

Error

0.3b

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))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
58.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune157.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

0.2b

Counts

138 → 8

Compiler

Compiled 3225 to 1790 computations (44.5% saved)

localize28.0ms (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 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite663.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`cube-prod_binary64_4539` `unswap-sqr_binary64_4479` `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` `unpow3_binary64_4577` `cube-mult_binary64_4541` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l*_binary64_4456`
1×	`*-commutative_binary64_4442`

Counts

4 → 202

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
11.0ms	(/.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))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series999.0ms (7.2%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
275.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
215.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
113.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	3808

prune675.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	235	8	243

Error

0.2b

Counts

243 → 8

Compiler

Compiled 11649 to 7281 computations (37.5% saved)

localize31.0ms (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))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite604.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

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))
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 9642 to 5747 computations (40.4% saved)

series895.0ms (6.4%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

330.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
321.0ms	(/.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))
92.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5053	4495

prune655.0ms (4.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	180	12	192

Error

0.1b

Counts

192 → 12

Compiler

Compiled 10894 to 6617 computations (39.3% 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)
0.8b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite394.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

6.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 6939 to 4362 computations (37.1% saved)

series645.0ms (4.6%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

329.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
94.0ms	(pow.f64 (*.f64 a c) 4)
85.0ms	(pow.f64 (*.f64 a c) 3)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5091	2247

prune428.0ms (3.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	154	12	166

Error

0.1b

Counts

166 → 12

Compiler

Compiled 7976 to 4969 computations (37.7% saved)

regimes1.3s (9.1%)

Accuracy

Total 1.3b remaining (89.4%)

Threshold costs 0b (0%)

Compiler

Compiled 22612 to 15446 computations (31.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample4.4s (31.2%)

Algorithm

1×

intervals

Results

375.0ms	3789×	body	256	valid
258.0ms	8806×	pre	128	true
226.0ms	1535×	body	512	valid
133.0ms	2676×	body	128	valid
43.0ms	806×	body	128	nan

Compiler

Compiled 4393 to 3003 computations (31.6% saved)

Details

analyze693.0ms (5%)

sample48.0ms (0.3%)

simplify284.0ms (2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite152.0ms (1.1%)

series628.0ms (4.5%)

simplify54.0ms (0.4%)

prune157.0ms (1.1%)

localize28.0ms (0.2%)

rewrite663.0ms (4.8%)

series999.0ms (7.2%)

simplify96.0ms (0.7%)

prune675.0ms (4.8%)

localize31.0ms (0.2%)

rewrite604.0ms (4.3%)

series895.0ms (6.4%)

simplify94.0ms (0.7%)

prune655.0ms (4.7%)

localize29.0ms (0.2%)

rewrite394.0ms (2.8%)

series645.0ms (4.6%)

simplify63.0ms (0.5%)

prune428.0ms (3.1%)

regimes1.3s (9.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.4s (31.2%)

Profiling