Details

analyze276.0ms (11%)

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
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	13
1	42	13

prune6.0ms (0.3%)

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 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))

series20.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
4.0ms	(.f64 (.f64 z z) 3)

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4942	435
1	4942	435

prune228.0ms (9.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

Compiler

Compiled 577 to 296 computations (48.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(.f64 z (.f64 z 3))
5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

series18.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
4.0ms	(.f64 z (.f64 z 3))

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5456	419

prune32.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

Compiler

Compiled 556 to 312 computations (43.9% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
4.0ms	(+.f64 (.f64 x y) (.f64 z z))

series39.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
14.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
11.0ms	(+.f64 (.f64 x y) (.f64 z z))

simplify87.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4864	767
1	4864	767

prune30.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

Compiler

Compiled 933 to 247 computations (73.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y))))
3.4b	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
3.4b	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
3.4b	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y))))
8.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))

series101.0ms (4%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y))))
24.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
23.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))
23.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 z z) 3) (*.f64 x y)))

simplify112.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4876	2508
1	4876	2508

prune92.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

Compiler

Compiled 3783 to 1860 computations (50.8% saved)

regimes253.0ms (10.1%)

Compiler: Compiled 806 to 560 computations (30.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample923.0ms (36.8%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	80	valid
15.0ms	499×	body	80	invalid

Compiler

Compiled 146 to 103 computations (29.5% saved)

Details

analyze276.0ms (11%)

sample16.0ms (0.6%)

simplify13.0ms (0.5%)

prune6.0ms (0.3%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series20.0ms (0.8%)

simplify83.0ms (3.3%)

prune228.0ms (9.1%)

localize6.0ms (0.2%)

rewrite12.0ms (0.5%)

series18.0ms (0.7%)

simplify65.0ms (2.6%)

prune32.0ms (1.3%)

localize7.0ms (0.3%)

rewrite23.0ms (0.9%)

series39.0ms (1.5%)

simplify87.0ms (3.5%)

prune30.0ms (1.2%)

localize10.0ms (0.4%)

rewrite39.0ms (1.6%)

series101.0ms (4%)

simplify112.0ms (4.4%)

prune92.0ms (3.7%)

regimes253.0ms (10.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample923.0ms (36.8%)

Profiling