Details

analyze759.0ms (13.8%)

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)

sample69.0ms (1.3%)

Algorithm

1×

intervals

Results

40.0ms	132×	body	2048	valid
14.0ms	68×	body	1024	valid
3.0ms	25×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify157.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-sqr-sqrt_binary64_1464`
3×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l*_binary64_1383`
2×	`add-log-exp_binary64_1481`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

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)))

Compiler

Compiled 569 to 354 computations (37.8% saved)

series52.0ms (0.9%)

Error

0.6b

Counts

2 → 6

Calls

2 calls:

26.0ms	(.f64 5 (.f64 v v))
21.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 252 to 218 computations (13.5% saved)

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5447	456

prune37.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Error

0.6b

Counts

34 → 4

Compiler

Compiled 697 to 449 computations (35.6% 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)))))
0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite84.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

11×	`pow1_binary64_1503`
10×	`add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`log-prod_binary64_1528`
4×	`add-log-exp_binary64_1481` `exp-prod_binary64_1494`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `exp-sum_binary64_1488`
2×	`log-pow_binary64_1531`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483`

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)))

Compiler

Compiled 1418 to 927 computations (34.6% saved)

series322.0ms (5.9%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

141.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
120.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
28.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 576 to 518 computations (10.1% saved)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5558	1284

prune76.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Error

0.6b

Counts

70 → 5

Compiler

Compiled 1562 to 1033 computations (33.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite122.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

14×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l*_binary64_1383`
4×	`add-log-exp_binary64_1481`
2×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(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)))

Compiler

Compiled 2218 to 1454 computations (34.4% saved)

series127.0ms (2.3%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 5 (.f64 v v))
29.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
27.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1224 to 950 computations (22.4% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5447	912

prune127.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Error

0.6b

Counts

71 → 5

Compiler

Compiled 2669 to 1792 computations (32.9% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.6b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
2.5b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite116.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

10×	`pow1_binary64_1503`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
5×	`add-log-exp_binary64_1481`
3×	`log-pow_binary64_1531` `log-prod_binary64_1528` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
2×	`acos-asin_binary64_1623`
1×	`exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-log-exp_binary64_1483` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 49

Calls

4 calls:

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

Compiler

Compiled 2143 to 1447 computations (32.5% saved)

series202.0ms (3.7%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

92.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
34.0ms	(.f64 5 (.f64 v v))
29.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
27.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1290 to 1016 computations (21.2% saved)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4952	899
1	4952	899

prune114.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Error

0.6b

Counts

66 → 5

Compiler

Compiled 2400 to 1620 computations (32.5% saved)

regimes213.0ms (3.9%)

Accuracy

Total 0.0b remaining (6.1%)

Threshold costs 0.0b (6.1%)

Compiler

Compiled 3486 to 2432 computations (30.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	90	58
1	90	58

end0.0ms (0%)

sample2.6s (46.8%)

Algorithm

1×

intervals

Results

1.1s	4027×	body	2048	valid
406.0ms	2015×	body	1024	valid
141.0ms	978×	body	512	valid
45.0ms	483×	body	256	valid
26.0ms	497×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 656 to 461 computations (29.7% saved)

Details

analyze759.0ms (13.8%)

sample69.0ms (1.3%)

simplify157.0ms (2.9%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite40.0ms (0.7%)

series52.0ms (0.9%)

simplify51.0ms (0.9%)

prune37.0ms (0.7%)

localize11.0ms (0.2%)

rewrite84.0ms (1.5%)

series322.0ms (5.9%)

simplify59.0ms (1.1%)

prune76.0ms (1.4%)

localize18.0ms (0.3%)

rewrite122.0ms (2.2%)

series127.0ms (2.3%)

simplify57.0ms (1%)

prune127.0ms (2.3%)

localize25.0ms (0.5%)

rewrite116.0ms (2.1%)

series202.0ms (3.7%)

simplify70.0ms (1.3%)

prune114.0ms (2.1%)

regimes213.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.6s (46.8%)

Profiling