Details

analyze804.0ms (16.8%)

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)

sample66.0ms (1.4%)

Algorithm

1×

intervals

Results

37.0ms	119×	body	2048	valid
16.0ms	80×	body	1024	valid
4.0ms	29×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify158.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune3.0ms (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: 0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`difference-of-squares_binary64_2093` `pow1_binary64_2185`
6×	`associate-/r*_binary64_2068`
4×	`difference-of-sqr-1_binary64_2094`
3×	`pow-prod-down_binary64_2195` `associate-/l_binary64_2069` `add-log-exp_binary64_2163` `associate-l*_binary64_2065` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-r*_binary64_2064` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series82.0ms (1.7%)

Counts

3 → 12

Calls

3 calls:

30.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
26.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
26.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 250 to 232 computations (7.2% saved)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5004	1791

prune89.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.5b

Counts

84 → 3

Compiler

Compiled 1782 to 1148 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))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_2185`
10×	`add-exp-log_binary64_2162`
9×	`add-sqr-sqrt_binary64_2146` `add-cbrt-cube_binary64_2160`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`log-prod_binary64_2210`
4×	`add-log-exp_binary64_2163` `exp-prod_binary64_2176`
3×	`pow-prod-down_binary64_2195` `associate-l_binary64_2065` `prod-exp_binary64_2173` `exp-sum_binary64_2170` `cbrt-unprod_binary64_2157`
2×	`log-pow_binary64_2213`
1×	`rem-log-exp_binary64_2165` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `acos-asin_binary64_2305` `rem-exp-log_binary64_2164` `associate-r*_binary64_2064`

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	(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))))

series333.0ms (7%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
126.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
29.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 432 to 402 computations (6.9% saved)

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5809	1302

prune81.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.5b

Counts

69 → 6

Compiler

Compiled 1579 to 1049 computations (33.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.1b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-sqr-sqrt_binary64_2146`
6×	`pow-prod-down_binary64_2195` `add-cube-cbrt_binary64_2159` `associate-l_binary64_2065` `prod-exp_binary64_2173` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163`
2×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-r*_binary64_2064`

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)))

series118.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 5 (.f64 v v))
30.0ms	(.f64 5 (.f64 v v))
29.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
26.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 848 to 680 computations (19.8% saved)

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4901	924
1	4901	924

prune124.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.5b

Counts

72 → 6

Compiler

Compiled 2646 to 1778 computations (32.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 v v) 4)
0.5b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-sqr-sqrt_binary64_2146`
3×	`pow-prod-down_binary64_2195` `add-cube-cbrt_binary64_2159` `prod-exp_binary64_2173` `associate-r_binary64_2064` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
2×	`add-log-exp_binary64_2163`
1×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-l*_binary64_2065`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

series39.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 v v) 4)
14.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 104 to 104 computations (0% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5141	344

prune25.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	34	5	39

Merged error: 0.5b

Counts

39 → 5

Compiler

Compiled 365 to 255 computations (30.1% saved)

regimes130.0ms (2.7%)

Compiler: Compiled 1846 to 1348 computations (27% 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%)

sample2.4s (50.1%)

Algorithm

1×

intervals

Results

1.2s	3989×	body	2048	valid
422.0ms	2035×	body	1024	valid
138.0ms	948×	body	512	valid
52.0ms	484×	body	256	valid
30.0ms	544×	body	128	valid
0.0ms	8×	body	128	nan

Compiler

Compiled 475 to 348 computations (26.7% saved)

Details

analyze804.0ms (16.8%)

sample66.0ms (1.4%)

simplify158.0ms (3.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.4%)

series82.0ms (1.7%)

simplify57.0ms (1.2%)

prune89.0ms (1.9%)

localize11.0ms (0.2%)

rewrite14.0ms (0.3%)

series333.0ms (7%)

simplify60.0ms (1.3%)

prune81.0ms (1.7%)

localize15.0ms (0.3%)

rewrite19.0ms (0.4%)

series118.0ms (2.5%)

simplify53.0ms (1.1%)

prune124.0ms (2.6%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series39.0ms (0.8%)

simplify61.0ms (1.3%)

prune25.0ms (0.5%)

regimes130.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (50.1%)

Profiling