Details

analyze5.0ms (0.1%)

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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify290.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

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)

localize10.0ms (0.2%)

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 4/3 (.f64 PI.f64 (.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)))))
0.2b	(.f64 (.f64 v v) 6)

rewrite215.0ms (4.1%)

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)))))
9.0ms	(.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)

series274.0ms (5.3%)

Error

Counts

4 → 21

Calls

4 calls:

92.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
68.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
53.0ms	(.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)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5077	3412

prune185.0ms (3.6%)

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 3526 to 2378 computations (32.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))))
0.0b	(/.f64 4/3 (/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
0.0b	(/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
0.2b	(.f64 6 (.f64 v v))

rewrite475.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_1448`
37×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
35×	`add-sqr-sqrt_binary64_1464`
34×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
32×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
28×	`cancel-sign-sub-inv_binary64_1408`
20×	`associate-*r/_binary64_1384`
14×	`pow1_binary64_1503`
12×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417` `associate-/r*_binary64_1386` `unpow-prod-down_binary64_1521`
11×	`associate-/r/_binary64_1388`
10×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
8×	`frac-times_binary64_1452` `associate-/l/_binary64_1389`
6×	`pow-prod-down_binary64_1513` `associate-l_binary64_1383` `div-inv_binary64_1439`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`add-log-exp_binary64_1481` `associate-l/_binary64_1385` `associate-/l_binary64_1387` `sub-neg_binary64_1435` `sqr-pow_binary64_1414`
2×	`associate-r_binary64_1382` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`unswap-sqr_binary64_1410`

Counts

4 → 168

Calls

4 calls:

20.0ms	(/.f64 4/3 (/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
19.0ms	(/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
17.0ms	(.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))))
6.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 6788 to 4632 computations (31.8% saved)

series317.0ms (6.1%)

Error

Counts

4 → 21

Calls

4 calls:

113.0ms	(/.f64 4/3 (/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
81.0ms	(/.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
60.0ms	(.f64 PI.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (-.f64 1 (pow.f64 v 4))))
29.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1553 to 1304 computations (16% saved)

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5034	6996

prune322.0ms (6.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	189	2	191

Error

Counts

191 → 2

Compiler

Compiled 6450 to 4468 computations (30.7% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
0.1b	(.f64 (.f64 v v) (*.f64 v v))
0.1b	(*.f64 (pow.f64 v 4) 36)
0.2b	(.f64 (.f64 v v) 6)

rewrite470.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

122×	`pow1_binary64_1503`
36×	`pow-prod-up_binary64_1512`
28×	`add-exp-log_binary64_1480`
27×	`pow-prod-down_binary64_1513`
25×	`add-cbrt-cube_binary64_1478`
22×	`pow-sqr_binary64_1415`
21×	`add-sqr-sqrt_binary64_1464`
18×	`pow-plus_binary64_1505`
15×	`prod-exp_binary64_1491`
13×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `associate-r_binary64_1382` `pow2_binary64_1523`
12×	`*-un-lft-identity_binary64_1442`
11×	`add-cube-cbrt_binary64_1477`
7×	`unswap-sqr_binary64_1410`
6×	`flip3-+_binary64_1445` `sqrt-div_binary64_1459` `flip-+_binary64_1416`
4×	`add-log-exp_binary64_1481` `*-commutative_binary64_1373` `unpow-prod-down_binary64_1521` `frac-times_binary64_1452` `sqrt-prod_binary64_1458`
2×	`sqr-pow_binary64_1414` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393`

Counts

4 → 138

Calls

4 calls:

19.0ms	(.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
9.0ms	(.f64 (.f64 v v) (*.f64 v v))
8.0ms	(*.f64 (pow.f64 v 4) 36)
6.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 7441 to 4924 computations (33.8% saved)

series201.0ms (3.9%)

Error

Counts

4 → 15

Calls

4 calls:

64.0ms	(.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
40.0ms	(*.f64 (pow.f64 v 4) 36)
36.0ms	(.f64 (.f64 v v) (*.f64 v v))
33.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1796 to 1440 computations (19.8% saved)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5180	1966

prune390.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Error

Counts

155 → 2

Compiler

Compiled 7142 to 5050 computations (29.3% saved)

regimes425.0ms (8.2%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 3916 to 3032 computations (22.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	37
1	65	37

end0.0ms (0%)

sample1.3s (24.6%)

Algorithm

1×

intervals

Results

407.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 870 to 679 computations (22% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.4%)

simplify290.0ms (5.6%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite215.0ms (4.1%)

series274.0ms (5.3%)

simplify86.0ms (1.7%)

prune185.0ms (3.6%)

localize14.0ms (0.3%)

rewrite475.0ms (9.1%)

series317.0ms (6.1%)

simplify127.0ms (2.5%)

prune322.0ms (6.2%)

localize25.0ms (0.5%)

rewrite470.0ms (9.1%)

series201.0ms (3.9%)

simplify51.0ms (1%)

prune390.0ms (7.5%)

regimes425.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (24.6%)

Profiling