Details

analyze253.0ms (6.1%)

Algorithm

1×	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%	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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0.1%)

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)

localize10.0ms (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 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite92.0ms (2.2%)

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:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.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)

series738.0ms (17.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

381.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
188.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
91.0ms	(+.f64 (.f64 a a) (.f64 b b))
28.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune100.0ms (2.4%)

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 2198 to 1062 computations (51.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.0b	(.f64 (.f64 a a) (*.f64 b b))

rewrite166.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`pow1_binary64_2526`
39×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
30×	`pow-prod-down_binary64_2536`
24×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
10×	`*-un-lft-identity_binary64_2465`
7×	`add-sqr-sqrt_binary64_2487` `associate-l_binary64_2406`
6×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
4×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528`
3×	`associate-r_binary64_2405` `*-commutative_binary64_2396`
2×	`pow2_binary64_2546` `pow-sqr_binary64_2438` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544` `distribute-lft-out_binary64_2416`
1×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

4 → 88

Calls

4 calls:

17.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
10.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2764 to 1473 computations (46.7% saved)

series406.0ms (9.8%)

Error

Counts

4 → 27

Calls

4 calls:

166.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
102.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
81.0ms	(.f64 (.f64 a a) (*.f64 b b))
29.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1827 to 1334 computations (27% saved)

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5130	1149

prune141.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	115	2	117

Error

Counts

117 → 2

Compiler

Compiled 3086 to 1773 computations (42.5% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))))
0.0b	(.f64 2 (.f64 a a))
1.6b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite103.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
7×	`add-sqr-sqrt_binary64_2487`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `associate-r/_binary64_2407` `flip-+_binary64_2439` `-commutative_binary64_2396` `associate-+r+_binary64_2397`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

3 → 55

Calls

3 calls:

12.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
8.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))))
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1782 to 960 computations (46.1% saved)

series625.0ms (15.1%)

Error

Counts

3 → 33

Calls

3 calls:

373.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))))
193.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
28.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1549 to 1312 computations (15.3% saved)

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4843	1727
1	4843	1727

prune95.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Error

Counts

90 → 2

Compiler

Compiled 2086 to 1256 computations (39.8% saved)

regimes214.0ms (5.2%)

Accuracy

Total 0.0b remaining (63.5%)

Threshold costs 0.0b (63.5%)

Compiler

Compiled 2197 to 1461 computations (33.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample853.0ms (20.6%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 317 to 216 computations (31.9% saved)

Details

analyze253.0ms (6.1%)

sample19.0ms (0.5%)

simplify44.0ms (1.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite92.0ms (2.2%)

series738.0ms (17.8%)

simplify100.0ms (2.4%)

prune100.0ms (2.4%)

localize14.0ms (0.3%)

rewrite166.0ms (4%)

series406.0ms (9.8%)

simplify65.0ms (1.6%)

prune141.0ms (3.4%)

localize12.0ms (0.3%)

rewrite103.0ms (2.5%)

series625.0ms (15.1%)

simplify92.0ms (2.2%)

prune95.0ms (2.3%)

regimes214.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (20.6%)

Profiling