Details

analyze180.0ms (8.2%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample35.0ms (1.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
2.0ms	42×	body	80	nan
1.0ms	15×	body	80	invalid

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune11.0ms (0.5%)

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: 0.1b

Counts

2 → 1

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 y (sqrt.f64 z))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 z))

series11.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 y (sqrt.f64 z))

simplify49.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	172
1	4978	172

prune69.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series50.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt.f64 (sqrt.f64 z))
13.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify53.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	626
1	4957	626

prune142.0ms (6.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`sqrt-prod_binary64`
18×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unpow-prod-down_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

3 → 69

Calls

3 calls:

11.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
6.0ms	(*.f64 y (pow.f64 z 1/4))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series43.0ms (2%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
14.0ms	(*.f64 y (pow.f64 z 1/4))
13.0ms	(sqrt.f64 (sqrt.f64 z))

simplify30.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5025	609

prune116.0ms (5.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite28.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series110.0ms (5%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
26.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
19.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)

simplify51.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	955
1	4959	955

prune94.0ms (4.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes477.0ms (21.7%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms (0%)

sample538.0ms (24.4%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	80	valid
38.0ms	1043×	body	80	nan
14.0ms	378×	body	80	invalid

Details

analyze180.0ms (8.2%)

sample35.0ms (1.6%)

simplify10.0ms (0.5%)

prune11.0ms (0.5%)

localize10.0ms (0.5%)

rewrite6.0ms (0.3%)

series11.0ms (0.5%)

simplify49.0ms (2.2%)

prune69.0ms (3.1%)

localize9.0ms (0.4%)

rewrite24.0ms (1.1%)

series50.0ms (2.3%)

simplify53.0ms (2.4%)

prune142.0ms (6.4%)

localize15.0ms (0.7%)

rewrite21.0ms (1%)

series43.0ms (2%)

simplify30.0ms (1.3%)

prune116.0ms (5.3%)

localize18.0ms (0.8%)

rewrite28.0ms (1.3%)

series110.0ms (5%)

simplify51.0ms (2.3%)

prune94.0ms (4.3%)

regimes477.0ms (21.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample538.0ms (24.4%)

Profiling