Details

analyze764.0ms (13.1%)

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)

sample63.0ms (1.1%)

Algorithm

1×

intervals

Results

37.0ms	129×	body	2048	valid
11.0ms	56×	body	1024	valid
5.0ms	36×	body	512	valid
2.0ms	18×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify166.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

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: 0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite9.0ms (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 (0.5%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 5 (.f64 v v))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5447	456

prune36.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.5b

Counts

34 → 3

Compiler

Compiled 666 to 428 computations (35.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1844`
10×	`add-exp-log_binary64_1821`
9×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`log-prod_binary64_1869`
4×	`exp-prod_binary64_1835` `add-log-exp_binary64_1822`
3×	`exp-sum_binary64_1829` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`log-pow_binary64_1872`
1×	`rem-exp-log_binary64_1823` `acos-asin_binary64_1964` `-commutative_binary64_1714` `unswap-sqr_binary64_1751` `rem-log-exp_binary64_1824` `associate-r*_binary64_1723`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(log.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)))

series330.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
131.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
17.0ms	(.f64 5 (.f64 v v))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5558	1284

prune73.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Merged error: 0.5b

Counts

69 → 3

Compiler

Compiled 1440 to 947 computations (34.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1805` `cbrt-prod_binary64_1814`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
4×	`add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`sqr-pow_binary64_1755` `cube-mult_binary64_1813` `unpow3_binary64_1849`
1×	`rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `acos-asin_binary64_1964` `-commutative_binary64_1714` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-r*_binary64_1723`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
4.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series122.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
16.0ms	(.f64 5 (.f64 v v))
14.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4883	1881
1	4883	1881

prune97.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0.5b

Counts

86 → 3

Compiler

Compiled 1921 to 1271 computations (33.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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	(log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2))
1.0b	(log.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`log-prod_binary64_1869`
12×	`cbrt-prod_binary64_1814`
11×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`add-exp-log_binary64_1821`
6×	`unpow-prod-down_binary64_1862`
5×	`pow1_binary64_1844`
4×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822` `rem-log-exp_binary64_1824`
3×	`log-pow_binary64_1872` `pow1/3_binary64_1865`
1×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 60

Calls

4 calls:

3.0ms	(log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2))
2.0ms	(log.f64 (cbrt.f64 (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))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

series1.1s (19.8%)

Counts

4 → 12

Calls

4 calls:

417.0ms	(log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2))
344.0ms	(log.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
198.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
190.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5033	2218

prune143.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	72	3	75

Merged error: 0.5b

Counts

75 → 3

Compiler

Compiled 3136 to 2118 computations (32.5% saved)

regimes106.0ms (1.8%)

Compiler: Compiled 1602 to 1136 computations (29.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	89
1	79	89

end0.0ms (0%)

sample2.4s (40.5%)

Algorithm

1×

intervals

Results

1.1s	3967×	body	2048	valid
389.0ms	1967×	body	1024	valid
152.0ms	1063×	body	512	valid
49.0ms	510×	body	256	valid
27.0ms	493×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 456 to 325 computations (28.7% saved)

Details

analyze764.0ms (13.1%)

sample63.0ms (1.1%)

simplify166.0ms (2.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite9.0ms (0.2%)

series31.0ms (0.5%)

simplify48.0ms (0.8%)

prune36.0ms (0.6%)

localize11.0ms (0.2%)

rewrite15.0ms (0.2%)

series330.0ms (5.7%)

simplify59.0ms (1%)

prune73.0ms (1.3%)

localize11.0ms (0.2%)

rewrite19.0ms (0.3%)

series122.0ms (2.1%)

simplify97.0ms (1.7%)

prune97.0ms (1.7%)

localize17.0ms (0.3%)

rewrite14.0ms (0.2%)

series1.1s (19.8%)

simplify70.0ms (1.2%)

prune143.0ms (2.5%)

regimes106.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (40.5%)

Profiling