Details

analyze291.0ms (9.1%)

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)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

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 (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite81.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
7×	`add-cbrt-cube_binary64_2160`
6×	`add-sqr-sqrt_binary64_2146`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`add-log-exp_binary64_2163`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

2 → 37

Calls

2 calls:

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

Compiler

Compiled 791 to 368 computations (53.5% saved)

series332.0ms (10.3%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

281.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
37.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 725 to 598 computations (17.5% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4931	736
1	4931	736

prune54.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

59 → 1

Compiler

Compiled 635 to 311 computations (51% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.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))
3.0b	(.f64 (.f64 a a) (*.f64 b b))

rewrite188.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`pow1_binary64_2185`
39×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
30×	`pow-prod-down_binary64_2195`
24×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
9×	`add-log-exp_binary64_2163`
7×	`add-sqr-sqrt_binary64_2146` `associate-l_binary64_2065`
6×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`associate-r_binary64_2064` `*-commutative_binary64_2055` `sum-log_binary64_2215`
2×	`pow2_binary64_2205` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

4 → 88

Calls

4 calls:

18.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
12.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
5.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2436 to 1255 computations (48.5% saved)

series810.0ms (25.3%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

504.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
142.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
110.0ms	(.f64 (.f64 a a) (*.f64 b b))
44.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1381 to 1144 computations (17.2% saved)

simplify51.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4993	1604
1	4993	1604

prune98.0ms (3.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	1	122

Error

0.0b

Counts

122 → 1

Compiler

Compiled 1591 to 902 computations (43.3% saved)

regimes494.0ms (15.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 5579 to 4067 computations (27.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end2.0ms (0.1%)

Compiler: Compiled 25 to 21 computations (16% saved)

sample637.0ms (19.9%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 71 to 63 computations (11.3% saved)

Details

analyze291.0ms (9.1%)

sample23.0ms (0.7%)

simplify39.0ms (1.2%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite81.0ms (2.5%)

series332.0ms (10.3%)

simplify76.0ms (2.4%)

prune54.0ms (1.7%)

localize14.0ms (0.4%)

rewrite188.0ms (5.9%)

series810.0ms (25.3%)

simplify51.0ms (1.6%)

prune98.0ms (3.1%)

regimes494.0ms (15.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end2.0ms (0.1%)

sample637.0ms (19.9%)

Profiling