Details

analyze502.0ms (3.7%)

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)

sample47.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	119×	body	256	valid
8.0ms	291×	pre	128	true
6.0ms	43×	body	512	valid
5.0ms	94×	body	128	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify274.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (268.0ms)

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

51.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (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))
0.3b	(.f64 (.f64 3 a) c)
26.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

48.2b

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)
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)

series645.0ms (4.8%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

207.0ms	(/.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))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
60.0ms	(.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

prune160.0ms (1.2%)

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 3191 to 1770 computations (44.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite615.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

11.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
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))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series940.0ms (7%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

353.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
308.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
123.0ms	(*.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)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune658.0ms (4.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	217	9	226

Error

0.2b

Counts

226 → 9

Compiler

Compiled 10836 to 6867 computations (36.6% saved)

localize29.0ms (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))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite544.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

46×	`pow1_binary64_4572`
36×	`add-exp-log_binary64_4549`
26×	`add-cbrt-cube_binary64_4547`
23×	`add-sqr-sqrt_binary64_4533`
19×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560`
13×	`unpow-prod-down_binary64_4590`
11×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511` `cbrt-unprod_binary64_4544`
10×	`associate-*r/_binary64_4453`
9×	`sqr-pow_binary64_4483` `unswap-sqr_binary64_4479`
8×	`pow-exp_binary64_4579` `associate-l_binary64_4452` `associate-r_binary64_4451`
7×	`pow-to-exp_binary64_4580` `associate-/l/_binary64_4458`
5×	`frac-sub_binary64_4520`
4×	`add-log-exp_binary64_4550` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `frac-add_binary64_4519`
3×	`pow-unpow_binary64_4588` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
2×	`pow-pow_binary64_4583` `rem-cube-cbrt_binary64_4534` `pow-plus_binary64_4574` `*-commutative_binary64_4442` `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` `pow2_binary64_4592` `swap-sqr_binary64_4478` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508` `flip3--_binary64_4515` `flip--_binary64_4486` `associate-/r*_binary64_4455`

Counts

4 → 127

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))
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)

series714.0ms (5.3%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

332.0ms	(/.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))
127.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
108.0ms	(pow.f64 (*.f64 a c) 3)
86.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune557.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	165	10	175

Error

0.2b

Counts

175 → 10

Compiler

Compiled 10108 to 6160 computations (39.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite686.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

56×	`times-frac_binary64_4517`
38×	`unpow-prod-down_binary64_4590`
33×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511` `add-exp-log_binary64_4549`
20×	`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` `unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539`
8×	`associate-/l*_binary64_4456`
7×	`associate-/r*_binary64_4455`
6×	`pow-pow_binary64_4583` `prod-exp_binary64_4560`
4×	`add-log-exp_binary64_4550`
3×	`pow-prod-down_binary64_4582`
2×	`rem-cube-cbrt_binary64_4534`
1×	`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 → 151

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
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 8317 to 5165 computations (37.9% saved)

series675.0ms (5%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

346.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
99.0ms	(pow.f64 (*.f64 a c) 4)
97.0ms	(pow.f64 (*.f64 a c) 3)
79.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5251	2662

prune545.0ms (4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	178	10	188

Error

0.2b

Counts

188 → 10

Compiler

Compiled 9214 to 5713 computations (38% saved)

regimes1.2s (9%)

Accuracy

Total 1.3b remaining (88.8%)

Threshold costs 0b (0%)

Compiler

Compiled 21125 to 14439 computations (31.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample4.2s (30.9%)

Algorithm

1×

intervals

Results

375.0ms	3835×	body	256	valid
272.0ms	8738×	pre	128	true
208.0ms	1449×	body	512	valid
134.0ms	2716×	body	128	valid
34.0ms	738×	body	128	nan

Compiler

Compiled 4141 to 2836 computations (31.5% saved)

Details

analyze502.0ms (3.7%)

sample47.0ms (0.3%)

simplify274.0ms (2%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite147.0ms (1.1%)

series645.0ms (4.8%)

simplify54.0ms (0.4%)

prune160.0ms (1.2%)

localize28.0ms (0.2%)

rewrite615.0ms (4.5%)

series940.0ms (7%)

simplify102.0ms (0.8%)

prune658.0ms (4.9%)

localize29.0ms (0.2%)

rewrite544.0ms (4%)

series714.0ms (5.3%)

simplify90.0ms (0.7%)

prune557.0ms (4.1%)

localize28.0ms (0.2%)

rewrite686.0ms (5.1%)

series675.0ms (5%)

simplify68.0ms (0.5%)

prune545.0ms (4%)

regimes1.2s (9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.2s (30.9%)

Profiling