Details

analyze936.0ms (13.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	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)

sample65.0ms (1%)

Algorithm

1×

intervals

Results

38.0ms	134×	body	2048	valid
11.0ms	58×	body	1024	valid
5.0ms	35×	body	512	valid
2.0ms	20×	body	256	valid
0.0ms	9×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune2.0ms (0%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite8.0ms (0.1%)

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 (0.5%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 5 (.f64 v v))
14.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5447	456

prune32.0ms (0.5%)

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: 0.2b

Counts

34 → 3

Compiler

Compiled 664 to 424 computations (36.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(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)))))

rewrite23.0ms (0.3%)

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:

8.0ms	(.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)))

series96.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
33.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
17.0ms	(.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)))))
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5552	2247

prune131.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.2b

Counts

99 → 3

Compiler

Compiled 2947 to 1865 computations (36.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(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 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_1805`
28×	`cbrt-prod_binary64_1814`
20×	`sqrt-prod_binary64_1799`
18×	`unpow-prod-down_binary64_1862`
15×	`unswap-sqr_binary64_1751`
13×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724` `*-un-lft-identity_binary64_1783`
9×	`add-exp-log_binary64_1821` `associate-r_binary64_1723`
7×	`pow1_binary64_1844`
5×	`add-cbrt-cube_binary64_1819`
4×	`sqr-pow_binary64_1755` `add-log-exp_binary64_1822`
3×	`prod-exp_binary64_1832`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`cbrt-unprod_binary64_1816` `pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `acos-asin_binary64_1964` `*-commutative_binary64_1714` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 85

Calls

4 calls:

11.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5) (cbrt.f64 (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)))

series102.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
35.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
19.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5) (cbrt.f64 (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)))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5262	3873

prune204.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	95	5	100

Merged error: 0.2b

Counts

100 → 5

Compiler

Compiled 4364 to 2914 computations (33.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_1805`
54×	`cbrt-prod_binary64_1814`
48×	`unpow-prod-down_binary64_1862` `sqrt-prod_binary64_1799`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`unswap-sqr_binary64_1751`
16×	`associate-r_binary64_1723`
11×	`add-exp-log_binary64_1821`
9×	`associate-l_binary64_1724`
7×	`pow1_binary64_1844`
6×	`sqr-pow_binary64_1755` `pow-unpow_binary64_1860`
5×	`add-cbrt-cube_binary64_1819`
4×	`pow-pow_binary64_1855` `add-log-exp_binary64_1822`
3×	`prod-exp_binary64_1832` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
2×	`pow1/3_binary64_1865`
1×	`cbrt-unprod_binary64_1816` `pow1/2_binary64_1863` `*-commutative_binary64_1714` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 122

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5))
4.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5)
4.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5)
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

series1.1s (16.9%)

Counts

4 → 12

Calls

4 calls:

419.0ms	(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5))
350.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5)
342.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))) 5)
34.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	6941
1	4884	6941

prune575.0ms (8.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	133	6	139

Merged error: 0.2b

Counts

139 → 6

Compiler

Compiled 9344 to 6442 computations (31.1% saved)

regimes228.0ms (3.4%)

Compiler: Compiled 4246 to 3004 computations (29.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	21
1	67	21

end0.0ms (0%)

sample2.7s (39.9%)

Algorithm

1×

intervals

Results

1.2s	4079×	body	2048	valid
393.0ms	1988×	body	1024	valid
142.0ms	984×	body	512	valid
44.0ms	466×	body	256	valid
28.0ms	482×	body	128	valid
0.0ms	1×	body	4096	valid
0.0ms	8×	body	128	nan

Compiler

Compiled 1075 to 762 computations (29.1% saved)

Details

analyze936.0ms (13.8%)

sample65.0ms (1%)

simplify75.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite8.0ms (0.1%)

series31.0ms (0.5%)

simplify53.0ms (0.8%)

prune32.0ms (0.5%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series96.0ms (1.4%)

simplify69.0ms (1%)

prune131.0ms (1.9%)

localize12.0ms (0.2%)

rewrite25.0ms (0.4%)

series102.0ms (1.5%)

simplify72.0ms (1.1%)

prune204.0ms (3%)

localize19.0ms (0.3%)

rewrite45.0ms (0.7%)

series1.1s (16.9%)

simplify115.0ms (1.7%)

prune575.0ms (8.4%)

regimes228.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (39.9%)

Profiling