Details

analyze166.0ms (4.3%)

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	30×	body	128	nan
1.0ms	13×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_6920`
9×	`associate-r_binary64_6838`
8×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
7×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
6×	`associate-l_binary64_6839`
5×	`add-log-exp_binary64_6937`
4×	`sqrt-prod_binary64_6914`
3×	`unswap-sqr_binary64_6866`
2×	`flip-+_binary64_6872` `prod-exp_binary64_6947` `flip3-+_binary64_6901` `cbrt-unprod_binary64_6931` `associate-r/_binary64_6840` `-commutative_binary64_6829` `pow-prod-down_binary64_6969`
1×	`+-commutative_binary64_6828` `distribute-lft-in_binary64_6847` `sum-log_binary64_6989` `distribute-rgt-in_binary64_6848`

Counts

3 → 55

Calls

3 calls:

7.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series282.0ms (7.3%)

Counts

3 → 36

Calls

3 calls:

131.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
102.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
49.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 574 to 587 computations (-2.3% saved)

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4925	969
1	4925	969

prune71.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0.2b

Counts

92 → 7

Compiler

Compiled 1054 to 435 computations (58.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 1/2 (+.f64 x (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (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)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`sqrt-prod_binary64_6914`
25×	`add-sqr-sqrt_binary64_6920`
21×	`associate-r_binary64_6838`
15×	`add-cube-cbrt_binary64_6933` `pow1_binary64_6959` `*-un-lft-identity_binary64_6898`
13×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
7×	`associate-l_binary64_6839`
5×	`prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `pow-prod-down_binary64_6969`
4×	`sqrt-pow1_binary64_6916` `add-log-exp_binary64_6937` `unswap-sqr_binary64_6866`
3×	`*-commutative_binary64_6829`
2×	`rem-sqrt-square_binary64_6911` `associate-*r/_binary64_6840` `pow1/2_binary64_6978`
1×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `distribute-lft-in_binary64_6847` `distribute-rgt-in_binary64_6848`

Counts

4 → 91

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)))
6.0ms	(.f64 1/2 (+.f64 x (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series434.0ms (11.3%)

Counts

4 → 30

Calls

4 calls:

175.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
138.0ms	(.f64 1/2 (+.f64 x (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))))
61.0ms	(sqrt.f64 (sqrt.f64 z))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 639 to 624 computations (2.3% saved)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5095	1237

prune90.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0.2b

Counts

128 → 7

Compiler

Compiled 1805 to 648 computations (64.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_6920`
12×	`associate-r_binary64_6838`
11×	`add-cube-cbrt_binary64_6933` `pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `*-un-lft-identity_binary64_6898`
9×	`cbrt-prod_binary64_6929`
6×	`sqrt-prod_binary64_6914`
4×	`prod-exp_binary64_6947` `add-log-exp_binary64_6937` `cbrt-unprod_binary64_6931` `pow-prod-down_binary64_6969` `associate-l_binary64_6839`
2×	`pow1/3_binary64_6980` `*-commutative_binary64_6829`
1×	`unswap-sqr_binary64_6866`

Counts

4 → 64

Calls

4 calls:

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

series474.0ms (12.3%)

Counts

4 → 18

Calls

4 calls:

237.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
96.0ms	(cbrt.f64 z)
86.0ms	(cbrt.f64 z)
54.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))

Compiler

Compiled 584 to 548 computations (6.2% saved)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	929

prune67.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0.2b

Counts

89 → 7

Compiler

Compiled 1419 to 573 computations (59.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6929`
23×	`add-sqr-sqrt_binary64_6920`
15×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
11×	`pow1_binary64_6959`
9×	`pow1/3_binary64_6980`
6×	`associate-r_binary64_6838` `swap-sqr_binary64_6865` `add-exp-log_binary64_6936` `associate-l_binary64_6839`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `unswap-sqr_binary64_6866`
2×	`pow-sqr_binary64_6871` `pow-prod-up_binary64_6968` `pow-prod-down_binary64_6969`
1×	`pow2_binary64_6979` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `pow-plus_binary64_6961`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series404.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
98.0ms	(cbrt.f64 y)
96.0ms	(cbrt.f64 y)
91.0ms	(cbrt.f64 y)

Compiler

Compiled 438 to 378 computations (13.7% saved)

simplify83.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5008	570

prune69.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0.2b

Counts

92 → 7

Compiler

Compiled 1503 to 566 computations (62.3% saved)

regimes282.0ms (7.3%)

Compiler: Compiled 1989 to 1762 computations (11.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample960.0ms (25%)

Algorithm

1×

intervals

Results

327.0ms	8000×	body	128	valid
40.0ms	1104×	body	128	nan
15.0ms	388×	body	128	invalid

Compiler

Compiled 296 to 264 computations (10.8% saved)

Details

analyze166.0ms (4.3%)

sample24.0ms (0.6%)

simplify96.0ms (2.5%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series282.0ms (7.3%)

simplify87.0ms (2.3%)

prune71.0ms (1.8%)

localize8.0ms (0.2%)

rewrite32.0ms (0.8%)

series434.0ms (11.3%)

simplify63.0ms (1.6%)

prune90.0ms (2.3%)

localize10.0ms (0.3%)

rewrite18.0ms (0.5%)

series474.0ms (12.3%)

simplify64.0ms (1.7%)

prune67.0ms (1.8%)

localize10.0ms (0.3%)

rewrite15.0ms (0.4%)

series404.0ms (10.5%)

simplify83.0ms (2.2%)

prune69.0ms (1.8%)

regimes282.0ms (7.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample960.0ms (25%)

Profiling