Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify284.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	4843	28
1	4843	28

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.0b	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.1b	(.f64 (.f64 v v) 6)

rewrite200.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
22×	`associate-*r/_binary64_1384`
18×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
17×	`add-sqr-sqrt_binary64_1464`
16×	`pow1_binary64_1503`
12×	`*-un-lft-identity_binary64_1442` `frac-times_binary64_1452`
11×	`add-cube-cbrt_binary64_1477`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r_binary64_1382`
9×	`associate-l_binary64_1383`
8×	`associate-/r/_binary64_1388`
7×	`pow-prod-down_binary64_1513`
6×	`associate-*l/_binary64_1385`
4×	`add-log-exp_binary64_1481` `sqrt-prod_binary64_1458`
3×	`unswap-sqr_binary64_1410` `-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`difference-of-squares_binary64_1411`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 108

Calls

4 calls:

12.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
11.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
10.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series308.0ms (8.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

114.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
72.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
59.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
27.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5077	3412

prune180.0ms (4.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 3506 to 2364 computations (32.6% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 v 4) 36)
0.1b	(.f64 (.f64 v v) 6)
1.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36))))))
1.0b	(.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))

rewrite324.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64_1480`
34×	`add-cbrt-cube_binary64_1478`
24×	`add-sqr-sqrt_binary64_1464`
23×	`associate-l_binary64_1383`
22×	`associate-*r/_binary64_1384`
16×	`prod-exp_binary64_1491` `sqrt-div_binary64_1459` `associate-/r/_binary64_1388`
14×	`add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475` `*-un-lft-identity_binary64_1442`
12×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-r_binary64_1382`
11×	`pow1_binary64_1503`
10×	`frac-times_binary64_1452`
6×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `unswap-sqr_binary64_1410` `times-frac_binary64_1448`
5×	`associate-*l/_binary64_1385`
4×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `sqrt-prod_binary64_1458` `unpow-prod-down_binary64_1521`
3×	`-commutative_binary64_1373` `associate-/l_binary64_1387`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `div-inv_binary64_1439` `sqr-pow_binary64_1414`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/r*_binary64_1386` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 120

Calls

4 calls:

24.0ms	(.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
12.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36))))))
6.0ms	(.f64 (.f64 v v) 6)
6.0ms	(*.f64 (pow.f64 v 4) 36)

Compiler

Compiled 4950 to 3565 computations (28% saved)

series265.0ms (7.3%)

Error

Counts

4 → 18

Calls

4 calls:

106.0ms	(.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
66.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36))))))
37.0ms	(*.f64 (pow.f64 v 4) 36)
30.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1340 to 1111 computations (17.1% saved)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5330	3757

prune235.0ms (6.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	138	2	140

Error

Counts

140 → 2

Compiler

Compiled 4763 to 3454 computations (27.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 6 (.f64 v v))
1.0b	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite126.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_1503`
18×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
12×	`add-sqr-sqrt_binary64_1464`
10×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
9×	`add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458` `-un-lft-identity_binary64_1442` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l*_binary64_1383`
6×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
4×	`add-log-exp_binary64_1481` `frac-times_binary64_1452`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `associate-r_binary64_1382` `*-commutative_binary64_1373`
1×	`unswap-sqr_binary64_1410`

Counts

4 → 77

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (sqrt.f64 PI.f64)))
6.0ms	(.f64 6 (.f64 v v))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2430 to 1339 computations (44.9% saved)

series105.0ms (2.9%)

Error

Counts

4 → 9

Calls

4 calls:

68.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (sqrt.f64 PI.f64)))
26.0ms	(.f64 6 (.f64 v v))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 606 to 500 computations (17.5% saved)

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4967	1473
1	4967	1473

prune99.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

88 → 2

Compiler

Compiled 2263 to 1358 computations (40% saved)

regimes164.0ms (4.5%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 2332 to 1856 computations (20.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	51
1	69	51

end0.0ms (0%)

sample1.1s (29.7%)

Algorithm

1×

intervals

Results

422.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 584 to 462 computations (20.9% saved)

Details

analyze6.0ms (0.2%)

sample21.0ms (0.6%)

simplify284.0ms (7.8%)

prune5.0ms (0.1%)

localize11.0ms (0.3%)

rewrite200.0ms (5.5%)

series308.0ms (8.5%)

simplify80.0ms (2.2%)

prune180.0ms (4.9%)

localize18.0ms (0.5%)

rewrite324.0ms (8.9%)

series265.0ms (7.3%)

simplify69.0ms (1.9%)

prune235.0ms (6.5%)

localize14.0ms (0.4%)

rewrite126.0ms (3.5%)

series105.0ms (2.9%)

simplify42.0ms (1.1%)

prune99.0ms (2.7%)

regimes164.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29.7%)

Profiling