Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify102.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2465`
8×	`pow1_binary64_2526`
7×	`add-sqr-sqrt_binary64_2487`
6×	`flip3-+_binary64_2468` `swap-sqr_binary64_2432` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`
5×	`add-cube-cbrt_binary64_2500`
4×	`frac-times_binary64_2475` `associate-r_binary64_2405` `associate-l_binary64_2406`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `pow-plus_binary64_2528` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `pow2_binary64_2546` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535` `cbrt-unprod_binary64_2498`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

series85.0ms (3.6%)

Counts

1 → 18

Calls

1 calls:

85.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 228 to 204 computations (10.5% saved)

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4969	634
1	4969	634

prune40.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 603 to 219 computations (63.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 a (+.f64 a (.f64 b 2)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_2487`
3×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526` `associate-r_binary64_2405` `associate-l*_binary64_2406`
2×	`associate-*r/_binary64_2407`
1×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 a (+.f64 a (*.f64 b 2)))

series83.0ms (3.5%)

Counts

1 → 12

Calls

1 calls:

83.0ms

(*.f64 a (+.f64 a (*.f64 b 2)))

Compiler

Compiled 132 to 123 computations (6.8% saved)

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4983	379
1	4983	379

prune20.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 380 to 116 computations (69.5% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
0.4b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite79.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_2465`
20×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`add-sqr-sqrt_binary64_2487`
16×	`frac-times_binary64_2475`
14×	`cancel-sign-sub-inv_binary64_2431`
13×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
12×	`flip--_binary64_2440` `add-cube-cbrt_binary64_2500` `flip3--_binary64_2469` `associate-l_binary64_2406`
10×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
9×	`associate-r_binary64_2405`
8×	`associate-l/_binary64_2408` `associate-/l/_binary64_2412` `associate-r/_binary64_2407` `associate-+r+_binary64_2397` `pow1_binary64_2526` `associate-/r/_binary64_2411`
6×	`add-log-exp_binary64_2504` `sub-neg_binary64_2458` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`distribute-lft-out_binary64_2416`
4×	`cube-prod_binary64_2493` `cbrt-undiv_binary64_2499` `unpow-prod-down_binary64_2544` `div-exp_binary64_2516`
2×	`difference-of-squares_binary64_2434` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `pow-prod-down_binary64_2536`
1×	`times-frac_binary64_2471` `+-commutative_binary64_2395` `associate-/r_binary64_2409` `sum-log_binary64_2556` `clear-num_binary64_2464` `distribute-lft-out--_binary64_2417` `sum-cubes_binary64_2466` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `associate-/l_binary64_2410`

Counts

4 → 129

Calls

4 calls:

27.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
21.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
10.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
6.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))

series695.0ms (29.1%)

Counts

4 → 57

Calls

4 calls:

446.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
92.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
81.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
77.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))

Compiler

Compiled 1779 to 1299 computations (27% saved)

simplify103.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5084	4489

prune212.0ms (8.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	186	2	188

Error

Counts

188 → 2

Compiler

Compiled 6140 to 2029 computations (67% saved)

regimes101.0ms (4.2%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Compiler

Compiled 757 to 512 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample682.0ms (28.5%)

Algorithm

1×

intervals

Results

193.0ms	8000×	pre	128	true
133.0ms	8000×	body	128	valid

Compiler

Compiled 209 to 137 computations (34.4% saved)

Details

analyze2.0ms (0.1%)

sample16.0ms (0.7%)

simplify102.0ms (4.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series85.0ms (3.6%)

simplify61.0ms (2.6%)

prune40.0ms (1.7%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series83.0ms (3.5%)

simplify65.0ms (2.7%)

prune20.0ms (0.8%)

localize15.0ms (0.6%)

rewrite79.0ms (3.3%)

series695.0ms (29.1%)

simplify103.0ms (4.3%)

prune212.0ms (8.8%)

regimes101.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample682.0ms (28.5%)

Profiling