Details

analyze250.0ms (4.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	24
1	372	24
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14
45.9%	2.1%	52%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample347.0ms (6.7%)

Algorithm

2×

intervals

Results

16.0ms	576×	body	128	nan
14.0ms	512×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 5237 to 5817 computations (-11.1% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

prune2.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite55.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_1464`
7×	`add-log-exp_binary64_1481`
6×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-prod_binary64_1458` `associate-+l+_binary64_1375`
3×	`associate-l_binary64_1383` `cancel-sign-sub-inv_binary64_1408`
2×	`unswap-sqr_binary64_1410` `sum-log_binary64_1533`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `sub-neg_binary64_1435` `+-commutative_binary64_1372`

Counts

2 → 39

Calls

2 calls:

7.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
5.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 562 to 250 computations (55.5% saved)

series167.0ms (3.2%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

82.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
75.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 298 to 231 computations (22.5% saved)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	552

prune50.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 665 to 307 computations (53.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite113.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_1458`
25×	`add-sqr-sqrt_binary64_1464`
18×	`associate-r_binary64_1382`
15×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`sqrt-pow1_binary64_1460`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow1/2_binary64_1522` `rem-sqrt-square_binary64_1455`
3×	`unswap-sqr_binary64_1410`
2×	`*-commutative_binary64_1373`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 1648 to 526 computations (68.1% saved)

series447.0ms (8.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

195.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
82.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
82.0ms	(sqrt.f64 (sqrt.f64 x))
75.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 659 to 496 computations (24.7% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5186	879

prune96.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Error

0.0b

Counts

113 → 7

Compiler

Compiled 1688 to 631 computations (62.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (fabs.f64 (cbrt.f64 x)))
0.3b	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite82.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_1464`
12×	`associate-r_binary64_1382`
11×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`cbrt-prod_binary64_1473`
6×	`sqrt-prod_binary64_1458`
4×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
2×	`pow1/3_binary64_1524` `*-commutative_binary64_1373`
1×	`unswap-sqr_binary64_1410`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
4.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1202 to 418 computations (65.2% saved)

series698.0ms (13.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

342.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
143.0ms	(cbrt.f64 x)
123.0ms	(cbrt.f64 x)
74.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))

Compiler

Compiled 834 to 669 computations (19.8% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5203	905

prune98.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1443 to 553 computations (61.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
0.3b	(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite87.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_1464`
11×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`cbrt-prod_binary64_1473` `associate-r_binary64_1382`
8×	`sqrt-prod_binary64_1458`
6×	`associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
3×	`unswap-sqr_binary64_1410`
2×	`pow1/3_binary64_1524` `*-commutative_binary64_1373`

Counts

4 → 66

Calls

4 calls:

6.0ms	(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
6.0ms	(.f64 y (.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1268 to 442 computations (65.1% saved)

series726.0ms (14.1%)

Error

Counts

4 → 15

Calls

4 calls:

324.0ms	(.f64 y (.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
146.0ms	(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
122.0ms	(cbrt.f64 x)
119.0ms	(cbrt.f64 x)

Compiler

Compiled 726 to 599 computations (17.5% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5010	1015

prune75.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1374 to 522 computations (62% saved)

regimes179.0ms (3.5%)

Accuracy

Total 0.1b remaining (92.3%)

Threshold costs 0.1b (92.3%)

Compiler

Compiled 1577 to 1015 computations (35.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample1.4s (27.1%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
232.0ms	8514×	body	128	nan
19.0ms	554×	body	128	invalid

Compiler

Compiled 536 to 348 computations (35.1% saved)

Details

analyze250.0ms (4.9%)

sample347.0ms (6.7%)

simplify13.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite55.0ms (1.1%)

series167.0ms (3.2%)

simplify51.0ms (1%)

prune50.0ms (1%)

localize8.0ms (0.2%)

rewrite113.0ms (2.2%)

series447.0ms (8.7%)

simplify78.0ms (1.5%)

prune96.0ms (1.9%)

localize9.0ms (0.2%)

rewrite82.0ms (1.6%)

series698.0ms (13.6%)

simplify38.0ms (0.7%)

prune98.0ms (1.9%)

localize9.0ms (0.2%)

rewrite87.0ms (1.7%)

series726.0ms (14.1%)

simplify67.0ms (1.3%)

prune75.0ms (1.5%)

regimes179.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (27.1%)

Profiling