Details

analyze267.0ms (2.4%)

Algorithm

1×

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 (0.4%)

Algorithm

1×

intervals

Results

11.0ms	96×	body	256	valid
8.0ms	284×	pre	128	true
8.0ms	160×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify410.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune6.0ms (0.1%)

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

43.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

37.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
37.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
9×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
6×	`times-frac_binary64_425` `difference-of-squares_binary64_388` `sqrt-prod_binary64_435` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out--_binary64_371`
2×	`sqrt-div_binary64_436` `sub-neg_binary64_412` `diff-log_binary64_511` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `pow1/2_binary64_499` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `sqrt-pow1_binary64_437` `associate-/r*_binary64_363` `rem-sqrt-square_binary64_432` `div-sub_binary64_424`

Counts

4 → 74

Calls

8 calls:

12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series628.0ms (5.7%)

Counts

4 → 72

Calls

4 calls:

212.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
155.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune253.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.5b

Counts

147 → 11

Compiler

Compiled 3429 to 1950 computations (43.1% saved)

localize31.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5)
0.1b	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
0.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.0b	(+.f64 (-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (/.f64 c b)) (.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite64.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`add-exp-log_binary64_457`
72×	`prod-exp_binary64_468`
51×	`div-exp_binary64_470`
49×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
40×	`add-sqr-sqrt_binary64_441`
29×	`unpow-prod-down_binary64_498`
25×	`add-cbrt-cube_binary64_455`
20×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
19×	`associate-r_binary64_359`
16×	`unswap-sqr_binary64_387`
15×	`sqr-pow_binary64_391`
14×	`times-frac_binary64_425` `associate-/r*_binary64_363`
13×	`associate-l_binary64_360`
10×	`cube-prod_binary64_447`
8×	`cbrt-unprod_binary64_452`
5×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `pow1_binary64_480`
2×	`clear-num_binary64_418` `unpow3_binary64_485` `cube-mult_binary64_449` `div-inv_binary64_416` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

4 → 188

Calls

8 calls:

11.0ms	(/.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))
0.0ms	(+.f64 (-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (/.f64 c b)) (.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5))

series821.0ms (7.5%)

Counts

4 → 30

Calls

4 calls:

340.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
271.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
115.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
95.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2460 to 1890 computations (23.2% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune584.0ms (5.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	217	12	229

Error

0.4b

Counts

229 → 12

Compiler

Compiled 10047 to 6064 computations (39.6% saved)

localize36.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.1b	(+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
0.1b	(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) -4))
0.0b	(+.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10))
0.3b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`add-exp-log_binary64_457`
63×	`times-frac_binary64_425`
54×	`unpow-prod-down_binary64_498`
51×	`add-sqr-sqrt_binary64_441`
46×	`pow-exp_binary64_487`
42×	`pow-to-exp_binary64_488` `div-exp_binary64_470`
40×	`prod-exp_binary64_468`
39×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
28×	`sqr-pow_binary64_391`
16×	`add-cbrt-cube_binary64_455`
14×	`associate-/r*_binary64_363`
9×	`unpow3_binary64_485` `cube-mult_binary64_449` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `associate-/l*_binary64_364`
7×	`associate-r_binary64_359` `associate-l_binary64_360` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`cbrt-unprod_binary64_452` `pow-unpow_binary64_496` `cbrt-undiv_binary64_453`
2×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `frac-2neg_binary64_430` `pow-pow_binary64_491`
1×	`*-commutative_binary64_350`

Counts

4 → 215

Calls

8 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
5.0ms	(pow.f64 (*.f64 a c) 3)
0.0ms	(+.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10))

series854.0ms (7.8%)

Counts

4 → 30

Calls

4 calls:

334.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
302.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
120.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
96.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3000 to 2250 computations (25% saved)

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4943	3858
1	4943	3858

prune714.0ms (6.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	245	12	257

Error

0.4b

Counts

257 → 12

Compiler

Compiled 13293 to 7608 computations (42.8% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.1b	(.f64 (log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))) -5)
0.0b	(+.f64 (-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (/.f64 c b)) (.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))) -5))
0.0b	(exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
0.3b	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
15.6b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))))

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`add-exp-log_binary64_457`
63×	`prod-exp_binary64_468`
51×	`div-exp_binary64_470`
47×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
38×	`add-sqr-sqrt_binary64_441`
28×	`unpow-prod-down_binary64_498`
21×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
20×	`add-cbrt-cube_binary64_455`
14×	`sqr-pow_binary64_391` `associate-/r*_binary64_363`
12×	`associate-r_binary64_359` `unswap-sqr_binary64_387` `log-pow_binary64_508`
11×	`exp-prod_binary64_471`
7×	`associate-l_binary64_360`
6×	`cube-prod_binary64_447`
5×	`cbrt-unprod_binary64_452` `pow1_binary64_480` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458`
3×	`div-inv_binary64_416` `log-prod_binary64_505`
2×	`clear-num_binary64_418` `frac-2neg_binary64_430` `associate-/l*_binary64_364`
1×	`rem-log-exp_binary64_460` `unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350`

Counts

4 → 178

Calls

8 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
6.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))))
0.0ms	(exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))

series1.5s (13.5%)

Counts

4 → 35

Calls

4 calls:

781.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))))
320.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
262.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
115.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))

Compiler

Compiled 2884 to 2228 computations (22.7% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5407	3571

prune594.0ms (5.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	212	13	225

Error

0.4b

Counts

225 → 13

Compiler

Compiled 9903 to 6038 computations (39% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	496	2158
1	496	2158

regimes328.0ms (3%)

Compiler: Compiled 4227 to 3156 computations (25.3% saved)

bsearch0.0ms (0%)

regimes217.0ms (2%)

Compiler: Compiled 2295 to 1779 computations (22.5% saved)

bsearch42.0ms (0.4%)

Steps

Iters	Range		Point
5	0.002582119031737095	0.007461905188318953	0.0026305871342749447

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes133.0ms (1.2%)

Compiler: Compiled 1059 to 894 computations (15.6% saved)

bsearch37.0ms (0.3%)

Steps

Iters	Range		Point
5	0.002582119031737095	0.007461905188318953	0.004456882830972271

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes67.0ms (0.6%)

Compiler: Compiled 381 to 354 computations (7.1% saved)

bsearch34.0ms (0.3%)

Steps

Iters	Range		Point
5	0.002582119031737095	0.007461905188318953	0.0026305871342749447

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.4%)

Compiler: Compiled 150 to 171 computations (-14% saved)

bsearch35.0ms (0.3%)

Steps

Iters	Range		Point
5	0.002582119031737095	0.007461905188318953	0.0030183319545777423

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes38.0ms (0.3%)

Compiler: Compiled 102 to 132 computations (-29.4% saved)

bsearch0.0ms (0%)

regimes30.0ms (0.3%)

Compiler: Compiled 60 to 99 computations (-65% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes20.0ms (0.2%)

Accuracy

Total 2.4b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 241 to 175 computations (27.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	173	359
1	173	359

end0.0ms (0%)

sample2.5s (22.7%)

Algorithm

1×

intervals

Results

283.0ms	2922×	body	256	valid
270.0ms	8888×	pre	128	true
259.0ms	5077×	body	128	valid
43.0ms	888×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 1678 to 1248 computations (25.6% saved)

Pareto

0.9057971830444616

Details

analyze267.0ms (2.4%)

sample41.0ms (0.4%)

simplify410.0ms (3.7%)

prune6.0ms (0.1%)

localize12.0ms (0.1%)

rewrite40.0ms (0.4%)

series628.0ms (5.7%)

simplify76.0ms (0.7%)

prune253.0ms (2.3%)

localize31.0ms (0.3%)

rewrite64.0ms (0.6%)

series821.0ms (7.5%)

simplify110.0ms (1%)

prune584.0ms (5.3%)

localize36.0ms (0.3%)

rewrite61.0ms (0.6%)

series854.0ms (7.8%)

simplify104.0ms (0.9%)

prune714.0ms (6.5%)

localize35.0ms (0.3%)

rewrite61.0ms (0.6%)

series1.5s (13.5%)

simplify88.0ms (0.8%)

prune594.0ms (5.4%)

simplify29.0ms (0.3%)

regimes328.0ms (3%)

bsearch0.0ms (0%)

regimes217.0ms (2%)

bsearch42.0ms (0.4%)

regimes133.0ms (1.2%)

bsearch37.0ms (0.3%)

regimes67.0ms (0.6%)

bsearch34.0ms (0.3%)

regimes48.0ms (0.4%)

bsearch35.0ms (0.3%)

regimes38.0ms (0.3%)

bsearch0.0ms (0%)

regimes30.0ms (0.3%)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

bsearch0.0ms (0%)

regimes20.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.5s (22.7%)

Profiling