Details

analyze364.0ms (5.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
0	2	2
1	2	2

Search

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

sample694.0ms (10.1%)

Algorithm

2×

intervals

Results

36.0ms	809×	body	128	invalid
22.0ms	512×	body	128	valid

Compiler

Compiled 11375 to 9477 computations (16.7% saved)

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite102.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
9×	`add-cbrt-cube_binary64_2842`
8×	`add-sqr-sqrt_binary64_2828` `add-log-exp_binary64_2845`
7×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
3×	`unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
2×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `unswap-sqr_binary64_2774` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series1.1s (15.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

552.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
289.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
144.0ms	(+.f64 (.f64 a a) (.f64 b b))
40.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune116.0ms (1.7%)

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 2194 to 1059 computations (51.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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)))
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))
2.8b	(.f64 (.f64 a a) (*.f64 b b))

rewrite194.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`pow1_binary64_2867`
21×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
18×	`add-log-exp_binary64_2845`
17×	`pow-prod-down_binary64_2877`
11×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
9×	`sum-log_binary64_2897`
6×	`add-sqr-sqrt_binary64_2828`
5×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`pow-prod-up_binary64_2876` `pow-plus_binary64_2869` `associate-l_binary64_2747`
2×	`pow2_binary64_2887` `pow-sqr_binary64_2779` `unswap-sqr_binary64_2774` `associate-r_binary64_2746` `*-commutative_binary64_2737` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`associate-+r+_binary64_2738` `associate-+l+_binary64_2739`

Counts

4 → 75

Calls

4 calls:

22.0ms	(+.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)))
19.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
5.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series1.2s (17.2%)

Error

Counts

4 → 45

Calls

4 calls:

543.0ms	(+.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)))
439.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
116.0ms	(.f64 (.f64 a a) (*.f64 b b))
36.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune162.0ms (2.3%)

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 3067 to 1740 computations (43.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
0.0b	(.f64 2 (.f64 a a))
1.8b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite97.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845`
7×	`add-sqr-sqrt_binary64_2828`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
5×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`associate-l_binary64_2747` `associate-r_binary64_2746`
3×	`sum-log_binary64_2897`
2×	`unswap-sqr_binary64_2774` `flip3-+_binary64_2809` `associate-r/_binary64_2748` `flip-+_binary64_2780` `-commutative_binary64_2737`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-+r+_binary64_2738` `+-commutative_binary64_2736`

Counts

3 → 55

Calls

3 calls:

10.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
6.0ms	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1478 to 756 computations (48.8% saved)

series507.0ms (7.4%)

Error

Counts

3 → 27

Calls

3 calls:

278.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
168.0ms	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
33.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1077 to 895 computations (16.9% saved)

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4996	1366
1	4996	1366

prune87.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 1662 to 913 computations (45.1% saved)

regimes204.0ms (3%)

Accuracy

Total 0.0b remaining (51.4%)

Threshold costs 0.0b (51.4%)

Compiler

Compiled 2133 to 1435 computations (32.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample1.8s (25.6%)

Algorithm

1×

intervals

Results

553.0ms	12726×	body	128	invalid
352.0ms	8000×	body	128	valid

Compiler

Compiled 316 to 218 computations (31% saved)

Details

analyze364.0ms (5.3%)

sample694.0ms (10.1%)

simplify39.0ms (0.6%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite102.0ms (1.5%)

series1.1s (15.8%)

simplify93.0ms (1.3%)

prune116.0ms (1.7%)

localize16.0ms (0.2%)

rewrite194.0ms (2.8%)

series1.2s (17.2%)

simplify63.0ms (0.9%)

prune162.0ms (2.3%)

localize10.0ms (0.1%)

rewrite97.0ms (1.4%)

series507.0ms (7.4%)

simplify87.0ms (1.3%)

prune87.0ms (1.3%)

regimes204.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (25.6%)

Profiling