Details

analyze60.0ms (2.1%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify160.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (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 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3902`
1×	`add-sqr-sqrt_binary64_3885` `add-cube-cbrt_binary64_3898` `flip3-+_binary64_3866` `pow1_binary64_3924` `sum-log_binary64_3954` `add-cbrt-cube_binary64_3899` `+-commutative_binary64_3793` `*-un-lft-identity_binary64_3863` `flip-+_binary64_3837` `add-exp-log_binary64_3901`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

series38.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

simplify90.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4870	193
1	4870	193

prune18.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

Compiler

Compiled 370 to 132 computations (64.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
6.4b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
6.4b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_3902` `add-sqr-sqrt_binary64_3885`
6×	`sqrt-prod_binary64_3879` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `*-un-lft-identity_binary64_3863`
4×	`flip3-+_binary64_3866` `add-cbrt-cube_binary64_3899` `sqrt-div_binary64_3880` `flip-+_binary64_3837` `add-exp-log_binary64_3901`
2×	`sqrt-pow1_binary64_3881` `rem-sqrt-square_binary64_3876` `sum-log_binary64_3954` `pow1/2_binary64_3943` `+-commutative_binary64_3793`

Counts

4 → 52

Calls

4 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series177.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
43.0ms	(+.f64 (.f64 x x) (.f64 y y))
42.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
39.0ms	(+.f64 (.f64 x x) (.f64 y y))

simplify102.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4855	886
1	4855	886

prune48.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

Compiler

Compiled 1413 to 238 computations (83.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite36.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3894`
23×	`add-sqr-sqrt_binary64_3885`
18×	`cbrt-div_binary64_3895`
15×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
11×	`pow1_binary64_3924`
9×	`flip3-+_binary64_3866` `pow1/3_binary64_3945` `flip-+_binary64_3837`
6×	`swap-sqr_binary64_3830` `associate-r_binary64_3803` `associate-l_binary64_3804` `add-exp-log_binary64_3901`
4×	`add-log-exp_binary64_3902` `frac-times_binary64_3873` `unswap-sqr_binary64_3831` `add-cbrt-cube_binary64_3899`
2×	`pow-sqr_binary64_3836` `associate-l/_binary64_3806` `pow-prod-up_binary64_3933` `associate-r/_binary64_3805` `pow-prod-down_binary64_3934`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-plus_binary64_3926` `pow2_binary64_3944` `*-commutative_binary64_3794`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series562.0ms (19.8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
146.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
135.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
118.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify96.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4862	1995
1	4862	1995

prune110.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

Compiler

Compiled 3394 to 697 computations (79.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 4)
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_3894`
11×	`add-sqr-sqrt_binary64_3885` `add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
9×	`unpow-prod-down_binary64_3942`
6×	`cbrt-div_binary64_3895`
5×	`pow1_binary64_3924` `add-exp-log_binary64_3901`
4×	`add-log-exp_binary64_3902` `pow1/3_binary64_3945` `add-cbrt-cube_binary64_3899`
3×	`pow-unpow_binary64_3940` `flip3-+_binary64_3866` `flip-+_binary64_3837`
2×	`pow-pow_binary64_3935`
1×	`pow-exp_binary64_3931` `sqr-pow_binary64_3835` `pow-to-exp_binary64_3932`

Counts

4 → 63

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 4)
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series598.0ms (21%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 4)
138.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
133.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
125.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify84.0ms (3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4829	1412
1	4829	1412

prune90.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	75	4	79

Merged error: 0b

Counts

79 → 4

Compiler

Compiled 2825 to 744 computations (73.7% saved)

regimes59.0ms (2.1%)

Compiler: Compiled 440 to 195 computations (55.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample410.0ms (14.4%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 97 to 46 computations (52.6% saved)

Details

analyze60.0ms (2.1%)

sample12.0ms (0.4%)

simplify160.0ms (5.6%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite5.0ms (0.2%)

series38.0ms (1.3%)

simplify90.0ms (3.2%)

prune18.0ms (0.6%)

localize7.0ms (0.2%)

rewrite21.0ms (0.8%)

series177.0ms (6.2%)

simplify102.0ms (3.6%)

prune48.0ms (1.7%)

localize9.0ms (0.3%)

rewrite36.0ms (1.3%)

series562.0ms (19.8%)

simplify96.0ms (3.4%)

prune110.0ms (3.8%)

localize14.0ms (0.5%)

rewrite28.0ms (1%)

series598.0ms (21%)

simplify84.0ms (3%)

prune90.0ms (3.2%)

regimes59.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample410.0ms (14.4%)

Profiling