Details

analyze73.0ms (3.3%)

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)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify130.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5126	25

prune2.0ms (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)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1480` `pow1_binary64_1503`
9×	`add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-unpow_binary64_1519` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `unpow-prod-down_binary64_1521`
2×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`associate-r_binary64_1382` `pow-exp_binary64_1510` `unpow2_binary64_1507` `*-commutative_binary64_1373` `sqr-pow_binary64_1414` `pow-to-exp_binary64_1511` `unswap-sqr_binary64_1410` `pow-pow_binary64_1514`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.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))

series116.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
29.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
23.0ms	(+.f64 (.f64 a a) (.f64 b b))
17.0ms	(.f64 4 (.f64 b b))

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4980	1108
1	4980	1108

prune75.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Compiler

Compiled 1595 to 757 computations (52.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.9b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite64.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
18×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
9×	`sum-log_binary64_1533`
6×	`add-sqr-sqrt_binary64_1464`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
2×	`associate-r_binary64_1382` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`associate-+l+_binary64_1375` `associate-+r+_binary64_1374` `unswap-sqr_binary64_1410`

Counts

4 → 74

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
17.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
8.0ms	(.f64 4 (.f64 b b))

series133.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
40.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
28.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
19.0ms	(.f64 4 (.f64 b b))

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	1703
1	4966	1703

prune112.0ms (5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

Counts

88 → 2

Compiler

Compiled 2538 to 1664 computations (34.4% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
3.3b	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
11.5b	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1480` `pow1_binary64_1503`
9×	`add-cbrt-cube_binary64_1478` `log-prod_binary64_1528` `add-sqr-sqrt_binary64_1464`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`exp-sum_binary64_1488`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `log-div_binary64_1529`
1×	`associate-r_binary64_1382` `sum-log_binary64_1533` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `log-pow_binary64_1531` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `exp-prod_binary64_1494` `exp-to-pow_binary64_1504` `unswap-sqr_binary64_1410`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
4.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))

series123.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
32.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))
29.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
17.0ms	(.f64 4 (.f64 b b))

simplify89.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4923	1171
1	4923	1171

prune69.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 1680 to 795 computations (52.7% saved)

regimes191.0ms (8.5%)

Accuracy

Total 0.0b remaining (82%)

Threshold costs 0.0b (82%)

Compiler

Compiled 2337 to 1656 computations (29.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample820.0ms (36.5%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 359 to 259 computations (27.9% saved)

Details

analyze73.0ms (3.3%)

sample18.0ms (0.8%)

simplify130.0ms (5.8%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite28.0ms (1.2%)

series116.0ms (5.2%)

simplify75.0ms (3.3%)

prune75.0ms (3.4%)

localize15.0ms (0.7%)

rewrite64.0ms (2.9%)

series133.0ms (5.9%)

simplify63.0ms (2.8%)

prune112.0ms (5%)

localize13.0ms (0.6%)

rewrite29.0ms (1.3%)

series123.0ms (5.5%)

simplify89.0ms (3.9%)

prune69.0ms (3.1%)

regimes191.0ms (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample820.0ms (36.5%)

Profiling