Details

analyze270.0ms (2.6%)

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)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
9.0ms	288×	pre	128	true
1.0ms	32×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify413.0ms (4%)

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

27.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

27.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
27.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite35.0ms (0.3%)

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 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series638.0ms (6.2%)

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))
163.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
156.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
106.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	3272

prune229.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	131	15	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	15	147

Error

0.7b

Counts

147 → 15

Compiler

Compiled 3593 to 2062 computations (42.6% saved)

localize30.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(-.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))
0.2b	(-.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)))
0.2b	(.f64 a (.f64 c c))
0.1b	(+.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 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
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))

rewrite69.0ms (0.7%)

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:

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

series818.0ms (8%)

Counts

4 → 30

Calls

4 calls:

333.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
270.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
118.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
97.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2460 to 1890 computations (23.2% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune577.0ms (5.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	216	17	233

Error

0.7b

Counts

233 → 17

Compiler

Compiled 10225 to 6187 computations (39.5% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

rewrite63.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`times-frac_binary64_425`
51×	`add-exp-log_binary64_457`
48×	`unpow-prod-down_binary64_498`
47×	`add-sqr-sqrt_binary64_441`
35×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `pow1_binary64_480`
26×	`sqr-pow_binary64_391`
23×	`add-cbrt-cube_binary64_455`
21×	`prod-exp_binary64_468`
18×	`pow-exp_binary64_487`
16×	`pow-prod-down_binary64_490`
14×	`pow-to-exp_binary64_488`
12×	`div-exp_binary64_470`
10×	`unswap-sqr_binary64_387` `cbrt-unprod_binary64_452`
9×	`unpow3_binary64_485` `cube-mult_binary64_449` `cube-prod_binary64_447`
8×	`associate-r_binary64_359` `associate-l_binary64_360` `associate-/l*_binary64_364`
7×	`associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `pow-plus_binary64_482` `pow-prod-up_binary64_489`
3×	`pow-unpow_binary64_496`
2×	`rem-cube-cbrt_binary64_442` `*-commutative_binary64_350` `pow-pow_binary64_491` `pow-sqr_binary64_392` `pow2_binary64_500`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `cbrt-undiv_binary64_453`

Counts

4 → 187

Calls

8 calls:

9.0ms	(.f64 (.f64 a a) (*.f64 c c))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(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))

series604.0ms (5.9%)

Counts

4 → 27

Calls

4 calls:

312.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
119.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
91.0ms	(pow.f64 (*.f64 a c) 3)
81.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2706 to 2058 computations (23.9% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5425	3074

prune628.0ms (6.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	213	18	231

Error

0.7b

Counts

231 → 18

Compiler

Compiled 11917 to 7014 computations (41.1% saved)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.2b	(-.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))
0.2b	(-.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)))
0.2b	(.f64 a (.f64 c c))
0.2b	(-.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))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite76.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64_457`
45×	`prod-exp_binary64_468`
41×	`times-frac_binary64_425`
36×	`add-sqr-sqrt_binary64_441`
30×	`*-un-lft-identity_binary64_419` `div-exp_binary64_470`
29×	`cancel-sign-sub-inv_binary64_385`
28×	`add-cube-cbrt_binary64_454`
27×	`add-cbrt-cube_binary64_455`
19×	`unpow-prod-down_binary64_498` `associate-/r*_binary64_363`
18×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
17×	`associate--l+_binary64_356`
13×	`cube-prod_binary64_447`
12×	`associate-r_binary64_359`
9×	`add-log-exp_binary64_458` `cbrt-unprod_binary64_452`
7×	`sqr-pow_binary64_391`
6×	`cbrt-undiv_binary64_453`
4×	`unpow3_binary64_485` `cube-mult_binary64_449` `div-inv_binary64_416` `unswap-sqr_binary64_387` `pow1_binary64_480` `frac-sub_binary64_428`
3×	`diff-log_binary64_511`
2×	`clear-num_binary64_418` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `frac-2neg_binary64_430` `flip--_binary64_394` `associate-/l*_binary64_364`
1×	`associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `associate-l_binary64_360` `associate--l-_binary64_357`

Counts

4 → 178

Calls

8 calls:

26.0ms	(-.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))
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 a a) (pow.f64 c 3))
0.0ms	(.f64 a (.f64 c c))

series938.0ms (9.1%)

Counts

4 → 41

Calls

4 calls:

381.0ms	(-.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))
258.0ms	(/.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))
95.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 1781 to 1434 computations (19.5% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	4461
1	4979	4461

prune348.0ms (3.4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	3	12	15
Picked	1	0	1
Done	0	2	2
Total	218	19	237

Error

0.6b

Counts

237 → 19

Compiler

Compiled 6704 to 3315 computations (50.6% saved)

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	765	3009
1	765	3009

regimes420.0ms (4.1%)

Compiler: Compiled 5931 to 4257 computations (28.2% saved)

bsearch0.0ms (0%)

regimes250.0ms (2.4%)

Compiler: Compiled 2712 to 2073 computations (23.6% saved)

bsearch15.0ms (0.1%)

Steps

Iters	Range		Point
3	9.609928523476675	11.690322021899162	11.560297428247756

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes95.0ms (0.9%)

Compiler: Compiled 525 to 456 computations (13.1% saved)

bsearch9.0ms (0.1%)

Steps

Iters	Range		Point
2	12.663150756801379	13.790762426018919	13.36790805006234

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes74.0ms (0.7%)

Compiler: Compiled 435 to 399 computations (8.3% saved)

bsearch8.0ms (0.1%)

Steps

Iters	Range		Point
2	12.663150756801379	13.790762426018919	13.649810967366726

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes52.0ms (0.5%)

Compiler: Compiled 198 to 210 computations (-6.1% saved)

bsearch9.0ms (0.1%)

Steps

Iters	Range		Point
2	12.663150756801379	13.790762426018919	13.36790805006234

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.3%)

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

bsearch0.0ms (0%)

regimes31.0ms (0.3%)

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

bsearch0.0ms (0%)

regimes26.0ms (0.3%)

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

bsearch0.0ms (0%)

regimes212.0ms (2.1%)

Accuracy

Total 5.2b remaining (88.8%)

Threshold costs 0b (0%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 245 to 176 computations (28.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	172	365
1	172	365

end0.0ms (0%)

sample2.7s (26.7%)

Algorithm

1×

intervals

Results

390.0ms	7708×	body	128	valid
277.0ms	8853×	pre	128	true
44.0ms	853×	body	128	nan
28.0ms	292×	body	256	valid

Compiler

Compiled 2250 to 1616 computations (28.2% saved)

Pareto

0.878193133603615

Details

analyze270.0ms (2.6%)

sample37.0ms (0.4%)

simplify413.0ms (4%)

prune6.0ms (0.1%)

localize12.0ms (0.1%)

rewrite35.0ms (0.3%)

series638.0ms (6.2%)

simplify82.0ms (0.8%)

prune229.0ms (2.2%)

localize30.0ms (0.3%)

rewrite69.0ms (0.7%)

series818.0ms (8%)

simplify108.0ms (1.1%)

prune577.0ms (5.6%)

localize35.0ms (0.3%)

rewrite63.0ms (0.6%)

series604.0ms (5.9%)

simplify92.0ms (0.9%)

prune628.0ms (6.1%)

localize20.0ms (0.2%)

rewrite76.0ms (0.7%)

series938.0ms (9.1%)

simplify92.0ms (0.9%)

prune348.0ms (3.4%)

simplify49.0ms (0.5%)

regimes420.0ms (4.1%)

bsearch0.0ms (0%)

regimes250.0ms (2.4%)

bsearch15.0ms (0.1%)

regimes95.0ms (0.9%)

bsearch9.0ms (0.1%)

regimes74.0ms (0.7%)

bsearch8.0ms (0.1%)

regimes52.0ms (0.5%)

bsearch9.0ms (0.1%)

regimes35.0ms (0.3%)

bsearch0.0ms (0%)

regimes31.0ms (0.3%)

bsearch0.0ms (0%)

regimes26.0ms (0.3%)

bsearch0.0ms (0%)

regimes212.0ms (2.1%)

bsearch12.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.7s (26.7%)

Profiling