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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify283.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))))))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.2b	(.f64 (.f64 v v) 6)

rewrite57.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
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×	`frac-times_binary64_1452` `*-un-lft-identity_binary64_1442`
11×	`add-cube-cbrt_binary64_1477`
10×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
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×	`cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l_binary64_1387` `-commutative_binary64_1373` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`
2×	`difference-of-squares_binary64_1411`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453`

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))))))
12.0ms	(.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))))
7.0ms	(.f64 (.f64 v v) 6)

series254.0ms (6.9%)

Counts

4 → 21

Calls

4 calls:

98.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
70.0ms	(.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 826 to 738 computations (10.7% saved)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5078	3416

prune192.0ms (5.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Merged error: 0b

Counts

131 → 3

Compiler

Compiled 3539 to 2387 computations (32.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4/3 (.f64 PI.f64 (/.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))))))
0.1b	(*.f64 (pow.f64 v 4) -36)
0.2b	(.f64 (.f64 v v) 6)
1.0b	(/.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))))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-exp-log_binary64_1480`
30×	`add-cbrt-cube_binary64_1478`
20×	`add-sqr-sqrt_binary64_1464`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`prod-exp_binary64_1491`
9×	`cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `pow1_binary64_1503`
8×	`cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `associate-l_binary64_1383` `sqrt-div_binary64_1459` `div-exp_binary64_1493`
7×	`associate-/r*_binary64_1386`
6×	`associate-r_binary64_1382` `sqrt-prod_binary64_1458`
4×	`associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
3×	`associate-*r/_binary64_1384` `associate-/r/_binary64_1388` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417`
2×	`div-inv_binary64_1439` `clear-num_binary64_1441` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `sqr-pow_binary64_1414` `associate-l/_binary64_1385`
1×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`

Counts

4 → 107

Calls

4 calls:

17.0ms	(/.f64 4/3 (.f64 PI.f64 (/.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))))))
14.0ms	(/.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))))
6.0ms	(.f64 (.f64 v v) 6)
6.0ms	(*.f64 (pow.f64 v 4) -36)

series251.0ms (6.8%)

Counts

4 → 18

Calls

4 calls:

114.0ms	(/.f64 4/3 (.f64 PI.f64 (/.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))))))
69.0ms	(/.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))))
41.0ms	(*.f64 (pow.f64 v 4) -36)
27.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 812 to 716 computations (11.8% saved)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4926	3481
1	4926	3481

prune225.0ms (6.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

Compiler

Compiled 4191 to 3044 computations (27.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (.f64 v v) 6)) (cbrt.f64 (.f64 (*.f64 v v) 6)))
30.1b	(cbrt.f64 (.f64 (.f64 v v) 6))
30.1b	(cbrt.f64 (.f64 (.f64 v v) 6))
30.1b	(cbrt.f64 (.f64 (.f64 v v) 6))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-sqr-sqrt_binary64_1464`
9×	`pow1/3_binary64_1524`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-prod_binary64_1473`
6×	`add-exp-log_binary64_1480`
4×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 58

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))
7.0ms	(.f64 (cbrt.f64 (.f64 (.f64 v v) 6)) (cbrt.f64 (.f64 (*.f64 v v) 6)))
5.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))
5.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))

series508.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(.f64 (cbrt.f64 (.f64 (.f64 v v) 6)) (cbrt.f64 (.f64 (*.f64 v v) 6)))
129.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))
122.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))
118.0ms	(cbrt.f64 (.f64 (.f64 v v) 6))

Compiler

Compiled 842 to 668 computations (20.7% saved)

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5300	748

prune106.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

Compiler

Compiled 2404 to 1534 computations (36.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
0.0b	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
0.2b	(.f64 6 (.f64 v v))
1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

rewrite46.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
19×	`pow1_binary64_1503`
16×	`associate-*r/_binary64_1384`
15×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
14×	`sqrt-div_binary64_1459`
13×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`pow-prod-down_binary64_1513`
8×	`associate-/r/_binary64_1388` `frac-times_binary64_1452`
7×	`associate-r_binary64_1382`
6×	`sqrt-prod_binary64_1458`
4×	`cbrt-undiv_binary64_1476` `associate-l_binary64_1383` `add-log-exp_binary64_1481` `associate-*l/_binary64_1385` `div-exp_binary64_1493`
3×	`times-frac_binary64_1448` `associate-/l*_binary64_1387`
2×	`*-commutative_binary64_1373`
1×	`sqrt-pow1_binary64_1460` `associate-/r*_binary64_1386` `rem-sqrt-square_binary64_1455` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `pow1/2_binary64_1522` `unswap-sqr_binary64_1410`

Counts

4 → 99

Calls

4 calls:

14.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
13.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
6.0ms	(.f64 6 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))

series248.0ms (6.7%)

Counts

4 → 21

Calls

4 calls:

113.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
76.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
33.0ms	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
26.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 852 to 756 computations (11.3% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5043	3166

prune160.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

Compiler

Compiled 3242 to 2246 computations (30.7% saved)

regimes118.0ms (3.2%)

Compiler: Compiled 1275 to 1031 computations (19.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	42
1	46	42

end0.0ms (0%)

sample781.0ms (21.1%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 284 to 230 computations (19% saved)

Details

analyze5.0ms (0.1%)

sample18.0ms (0.5%)

simplify283.0ms (7.7%)

prune5.0ms (0.1%)

localize10.0ms (0.3%)

rewrite57.0ms (1.5%)

series254.0ms (6.9%)

simplify88.0ms (2.4%)

prune192.0ms (5.2%)

localize17.0ms (0.4%)

rewrite55.0ms (1.5%)

series251.0ms (6.8%)

simplify88.0ms (2.4%)

prune225.0ms (6.1%)

localize15.0ms (0.4%)

rewrite29.0ms (0.8%)

series508.0ms (13.7%)

simplify52.0ms (1.4%)

prune106.0ms (2.9%)

localize11.0ms (0.3%)

rewrite46.0ms (1.2%)

series248.0ms (6.7%)

simplify68.0ms (1.8%)

prune160.0ms (4.3%)

regimes118.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample781.0ms (21.1%)

Profiling