Details

analyze776.0ms (14.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample64.0ms (1.2%)

Algorithm

1×

intervals

Results

38.0ms	135×	body	2048	valid
13.0ms	63×	body	1024	valid
4.0ms	29×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	13×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify156.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune5.0ms (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: 0.3b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
4×	`add-sqr-sqrt_binary64_1805`
3×	`add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `*-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854`
2×	`add-log-exp_binary64_1822`
1×	`acos-asin_binary64_1964` `-commutative_binary64_1714` `unswap-sqr_binary64_1751` `associate-r*_binary64_1723`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series31.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 5 (.f64 v v))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5447	456

prune34.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.3b

Counts

34 → 3

Compiler

Compiled 664 to 424 computations (36.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1805`
24×	`sqrt-prod_binary64_1799`
21×	`pow1_binary64_1844`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
8×	`swap-sqr_binary64_1750`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
5×	`pow-prod-up_binary64_1853`
4×	`unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796` `add-log-exp_binary64_1822`
3×	`pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `pow-plus_binary64_1846` `acos-asin_binary64_1964` `*-commutative_binary64_1714` `rem-square-sqrt_binary64_1795` `sqr-abs_binary64_1798` `pow2_binary64_1864`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series93.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
32.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
16.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
11.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5552	2247

prune137.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	95	4	99

Merged error: 0.3b

Counts

99 → 4

Compiler

Compiled 3012 to 1910 computations (36.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 4)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_1844`
11×	`add-sqr-sqrt_binary64_1805`
10×	`add-exp-log_binary64_1821`
9×	`add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`unpow-prod-down_binary64_1862` `sqrt-prod_binary64_1799`
4×	`add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `associate-l_binary64_1724` `pow-pow_binary64_1855` `pow-prod-down_binary64_1854`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
1×	`sqr-pow_binary64_1755` `acos-asin_binary64_1964` `-commutative_binary64_1714` `unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `sqrt-pow2_binary64_1802` `pow-exp_binary64_1851` `associate-r*_binary64_1723`

Counts

4 → 63

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
3.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 4)
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series158.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 4)
31.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
16.0ms	(.f64 5 (.f64 v v))
11.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4862	1487
1	4862	1487

prune89.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	75	4	79

Merged error: 0.3b

Counts

79 → 4

Compiler

Compiled 1786 to 1224 computations (31.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(pow.f64 (.f64 (fabs.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 4)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
6×	`cbrt-prod_binary64_1814`
4×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860`
2×	`pow-pow_binary64_1855` `pow1/3_binary64_1865` `pow-exp_binary64_1851`
1×	`sqr-pow_binary64_1755` `prod-exp_binary64_1832` `unpow-prod-down_binary64_1862` `acos-asin_binary64_1964` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852`

Counts

4 → 47

Calls

4 calls:

5.0ms	(pow.f64 (.f64 (fabs.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 4)
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

series944.0ms (17.5%)

Counts

4 → 12

Calls

4 calls:

532.0ms	(pow.f64 (.f64 (fabs.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 4)
209.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
193.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
10.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4876	1587
1	4876	1587

prune101.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Merged error: 0.3b

Counts

63 → 5

Compiler

Compiled 2197 to 1479 computations (32.7% saved)

regimes116.0ms (2.2%)

Compiler: Compiled 1734 to 1244 computations (28.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	21
1	67	21

end0.0ms (0%)

sample2.3s (42.7%)

Algorithm

1×

intervals

Results

1.1s	3929×	body	2048	valid
417.0ms	2075×	body	1024	valid
145.0ms	984×	body	512	valid
50.0ms	489×	body	256	valid
30.0ms	521×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 447 to 322 computations (28% saved)

Details

analyze776.0ms (14.4%)

sample64.0ms (1.2%)

simplify156.0ms (2.9%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite8.0ms (0.2%)

series31.0ms (0.6%)

simplify47.0ms (0.9%)

prune34.0ms (0.6%)

localize10.0ms (0.2%)

rewrite20.0ms (0.4%)

series93.0ms (1.7%)

simplify68.0ms (1.3%)

prune137.0ms (2.5%)

localize11.0ms (0.2%)

rewrite16.0ms (0.3%)

series158.0ms (2.9%)

simplify81.0ms (1.5%)

prune89.0ms (1.7%)

localize14.0ms (0.3%)

rewrite13.0ms (0.2%)

series944.0ms (17.5%)

simplify89.0ms (1.6%)

prune101.0ms (1.9%)

regimes116.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (42.7%)

Profiling