Details

analyze262.0ms (6.3%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	274	10
1	274	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 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series136.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
67.0ms	(*.f64 y (-.f64 z x))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5166	584

prune64.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

Compiler

Compiled 1179 to 422 computations (64.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series632.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 x)
161.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
156.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5244	563

prune70.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 1708 to 531 computations (68.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
4.1b	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.1b	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.1b	(cbrt.f64 (*.f64 y (-.f64 z x)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
6.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
6.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

series1.1s (27.7%)

Counts

4 → 12

Calls

4 calls:

344.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
272.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
271.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
261.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4946	1218
1	4946	1218

prune75.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

Compiler

Compiled 2236 to 510 computations (77.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64` `associate-+r+_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-up_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `sqr-abs_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))
5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

series508.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
197.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
56.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))
49.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4933	1961
1	4933	1961

prune87.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

Compiler

Compiled 2517 to 412 computations (83.6% saved)

regimes48.0ms (1.2%)

Compiler: Compiled 272 to 166 computations (39% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample655.0ms (15.8%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
23.0ms	577×	body	128	invalid

Compiler

Compiled 78 to 50 computations (35.9% saved)

Details

analyze262.0ms (6.3%)

sample14.0ms (0.3%)

simplify22.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite22.0ms (0.5%)

series136.0ms (3.3%)

simplify70.0ms (1.7%)

prune64.0ms (1.5%)

localize13.0ms (0.3%)

rewrite17.0ms (0.4%)

series632.0ms (15.3%)

simplify55.0ms (1.3%)

prune70.0ms (1.7%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series1.1s (27.7%)

simplify58.0ms (1.4%)

prune75.0ms (1.8%)

localize7.0ms (0.2%)

rewrite34.0ms (0.8%)

series508.0ms (12.3%)

simplify92.0ms (2.2%)

prune87.0ms (2.1%)

regimes48.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample655.0ms (15.8%)

Profiling