Details

analyze136.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample35.0ms (0.2%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify241.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5126	25

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite182.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-sqr-sqrt_binary64_2487` `add-log-exp_binary64_2504`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
2×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 59

Calls

4 calls:

16.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
11.0ms	(.f64 4 (.f64 b b))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series1.4s (9.9%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

691.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
375.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
181.0ms	(+.f64 (.f64 a a) (.f64 b b))
49.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify202.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune196.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 2229 to 1074 computations (51.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
3.5b	(.f64 (.f64 a a) (*.f64 b b))

rewrite328.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`pow1_binary64_2526`
21×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`add-log-exp_binary64_2504`
17×	`pow-prod-down_binary64_2536`
11×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
9×	`sum-log_binary64_2556`
6×	`add-sqr-sqrt_binary64_2487`
5×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528` `associate-l_binary64_2406`
2×	`pow2_binary64_2546` `pow-sqr_binary64_2438` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Counts

4 → 75

Calls

4 calls:

45.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
36.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
17.0ms	(.f64 (.f64 a a) (*.f64 b b))
11.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series1.5s (10.8%)

Error

Counts

4 → 45

Calls

4 calls:

682.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
555.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
153.0ms	(.f64 (.f64 a a) (*.f64 b b))
53.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune300.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Error

Counts

122 → 2

Compiler

Compiled 3102 to 1755 computations (43.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
12.6b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
12.6b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
12.6b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

rewrite613.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 87

Calls

4 calls:

57.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
21.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
21.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
20.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

Compiler

Compiled 6494 to 2839 computations (56.3% saved)

series5.0s (35.7%)

Error

Counts

4 → 70

Calls

4 calls:

1.9s	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
904.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
867.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
866.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

Compiler

Compiled 12114 to 8786 computations (27.5% saved)

simplify266.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4947	6617
1	4947	6617

prune875.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Error

Counts

159 → 2

Compiler

Compiled 9625 to 4805 computations (50.1% saved)

regimes595.0ms (4.2%)

Accuracy

Total 0.0b remaining (72.7%)

Threshold costs 0.0b (72.7%)

Compiler

Compiled 4657 to 2722 computations (41.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample2.0s (13.8%)

Algorithm

1×

intervals

Results

638.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 641 to 386 computations (39.8% saved)

Details

analyze136.0ms (1%)

sample35.0ms (0.2%)

simplify241.0ms (1.7%)

prune5.0ms (0%)

localize27.0ms (0.2%)

rewrite182.0ms (1.3%)

series1.4s (9.9%)

simplify202.0ms (1.4%)

prune196.0ms (1.4%)

localize30.0ms (0.2%)

rewrite328.0ms (2.3%)

series1.5s (10.8%)

simplify150.0ms (1.1%)

prune300.0ms (2.1%)

localize31.0ms (0.2%)

rewrite613.0ms (4.3%)

series5.0s (35.7%)

simplify266.0ms (1.9%)

prune875.0ms (6.2%)

regimes595.0ms (4.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.0s (13.8%)

Profiling