Details

analyze110.0ms (1.6%)

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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify204.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065` `sub-neg_binary64_2117` `associate-r_binary64_2064`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `distribute-lft-in_binary64_2073`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`

Counts

2 → 36

Calls

2 calls:

13.0ms	(.f64 x (-.f64 1 (.f64 x y)))
7.0ms	(-.f64 1 (*.f64 x y))

series102.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 x (-.f64 1 (.f64 x y)))
37.0ms	(-.f64 1 (*.f64 x y))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4945	491
1	4945	491

prune78.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

Compiler

Compiled 582 to 302 computations (48.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2066`
18×	`cbrt-div_binary64_2156`
11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow1/3_binary64_2206`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-*l/_binary64_2067` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 72

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
9.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
8.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
8.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

series1.6s (23.1%)

Counts

4 → 12

Calls

4 calls:

482.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
400.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
374.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
357.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5030	2016

prune248.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

Compiler

Compiled 2943 to 1703 computations (42.1% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (-.f64 1 (*.f64 x y)))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2066`
16×	`cbrt-div_binary64_2156`
9×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
8×	`flip--_binary64_2099` `flip3--_binary64_2128` `cbrt-prod_binary64_2155`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
6×	`associate-l_binary64_2065` `pow1/3_binary64_2206`
5×	`pow-prod-down_binary64_2195` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163` `frac-times_binary64_2134`
3×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`associate-*l/_binary64_2067`
1×	`-commutative_binary64_2055` `associate-r*_binary64_2064`

Counts

4 → 63

Calls

4 calls:

22.0ms	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (-.f64 1 (*.f64 x y)))))
9.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
8.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
2.0ms	(cbrt.f64 x)

series1.3s (18.5%)

Counts

4 → 12

Calls

4 calls:

404.0ms	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (-.f64 1 (*.f64 x y)))))
369.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
358.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
164.0ms	(cbrt.f64 x)

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4959	1810
1	4959	1810

prune209.0ms (3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	74	9	83

Merged error: 0b

Counts

83 → 9

Compiler

Compiled 2863 to 1591 computations (44.4% saved)

localize16.0ms (0.2%)

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)

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206`
6×	`swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series683.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
170.0ms	(cbrt.f64 x)
168.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune116.0ms (1.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 0b

Counts

94 → 9

Compiler

Compiled 1414 to 572 computations (59.5% saved)

regimes234.0ms (3.4%)

Compiler: Compiled 1314 to 893 computations (32% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample1.4s (19.6%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	128	valid
3.0ms	75×	body	128	invalid

Compiler

Compiled 447 to 306 computations (31.5% saved)

Details

analyze110.0ms (1.6%)

sample22.0ms (0.3%)

simplify204.0ms (2.9%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite24.0ms (0.3%)

series102.0ms (1.5%)

simplify124.0ms (1.8%)

prune78.0ms (1.1%)

localize18.0ms (0.3%)

rewrite54.0ms (0.8%)

series1.6s (23.1%)

simplify113.0ms (1.6%)

prune248.0ms (3.6%)

localize26.0ms (0.4%)

rewrite58.0ms (0.8%)

series1.3s (18.5%)

simplify113.0ms (1.6%)

prune209.0ms (3%)

localize16.0ms (0.2%)

rewrite27.0ms (0.4%)

series683.0ms (9.8%)

simplify111.0ms (1.6%)

prune116.0ms (1.7%)

regimes234.0ms (3.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (19.6%)

Profiling