Details

analyze791.0ms (12.8%)

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 (1.1%)

Algorithm

1×

intervals

Results

39.0ms	125×	body	2048	valid
17.0ms	79×	body	1024	valid
3.0ms	23×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify234.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4883	21
1	4883	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: 0.7b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-exp-log_binary64_2134`
4×	`add-sqr-sqrt_binary64_2120`
3×	`associate-l_binary64_2042` `add-cube-cbrt_binary64_2131` `prod-exp_binary64_2145` `*-un-lft-identity_binary64_2099` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`add-log-exp_binary64_2135`
1×	`-commutative_binary64_2032` `acos-asin_binary64_2277` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041`

Counts

2 → 27

Calls

2 calls:

7.0ms	(.f64 5 (.f64 v v))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series60.0ms (1%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(.f64 5 (.f64 v v))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4798	456
1	4798	456

prune33.0ms (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: 0.7b

Counts

34 → 3

Compiler

Compiled 650 to 416 computations (36% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2120` `cbrt-prod_binary64_2127`
11×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
10×	`add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-exp-log_binary64_2134`
6×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
4×	`add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `prod-exp_binary64_2145` `pow-unpow_binary64_2173` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`sqr-pow_binary64_2071` `unpow3_binary64_2162` `cube-mult_binary64_2126`
1×	`pow1/3_binary64_2178` `pow-exp_binary64_2164` `-commutative_binary64_2032` `pow-pow_binary64_2168` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `acos-asin_binary64_2277` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041` `rem-cbrt-cube_binary64_2122`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 5 (.f64 v v))
3.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
2.0ms	(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)))

series220.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
34.0ms	(.f64 5 (.f64 v v))
24.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	1881
1	4873	1881

prune100.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	83	3	86

Merged error: 0.7b

Counts

86 → 3

Compiler

Compiled 1976 to 1312 computations (33.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3) 1/3)
0.2b	(.f64 5 (.f64 v v))
0.7b	(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)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`unpow-prod-down_binary64_2175`
13×	`add-sqr-sqrt_binary64_2120`
12×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
10×	`add-cbrt-cube_binary64_2132` `pow1_binary64_2157`
6×	`cube-prod_binary64_2124` `pow-unpow_binary64_2173`
5×	`pow-exp_binary64_2164`
4×	`add-log-exp_binary64_2135`
3×	`sqr-pow_binary64_2071` `associate-l_binary64_2042` `pow-to-exp_binary64_2165` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`pow-pow_binary64_2168` `unpow3_binary64_2162` `cube-mult_binary64_2126`
1×	`unpow1/3_binary64_2163` `-commutative_binary64_2032` `rem-cube-cbrt_binary64_2121` `acos-asin_binary64_2277` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041`

Counts

4 → 79

Calls

4 calls:

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

series759.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

541.0ms	(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3) 1/3)
164.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
32.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4888	2098
1	4888	2098

prune107.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Merged error: 0.7b

Counts

94 → 3

Compiler

Compiled 2178 to 1464 computations (32.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
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 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_2127`
10×	`add-exp-log_binary64_2134`
8×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
6×	`add-cbrt-cube_binary64_2132` `pow1_binary64_2157`
5×	`pow-exp_binary64_2164`
4×	`pow-pow_binary64_2168` `add-log-exp_binary64_2135`
3×	`pow1/3_binary64_2178` `prod-exp_binary64_2145` `pow-unpow_binary64_2173`
2×	`sqr-pow_binary64_2071` `unpow-prod-down_binary64_2175` `cube-prod_binary64_2124` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `unpow3_binary64_2162` `cube-mult_binary64_2126`
1×	`unpow2_binary64_2161` `pow3_binary64_2179` `pow-plus_binary64_2159` `pow-prod-up_binary64_2166` `rem-cbrt-cube_binary64_2122` `cbrt-unprod_binary64_2129`

Counts

4 → 65

Calls

4 calls:

7.0ms	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
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))))

series932.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
364.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
163.0ms	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)
33.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	2021
1	4982	2021

prune124.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	77	3	80

Merged error: 0.7b

Counts

80 → 3

Compiler

Compiled 2628 to 1742 computations (33.7% saved)

regimes51.0ms (0.8%)

Compiler: Compiled 634 to 448 computations (29.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	27
1	69	27

end0.0ms (0%)

sample2.3s (36.6%)

Algorithm

1×

intervals

Results

1.3s	4082×	body	2048	valid
421.0ms	1970×	body	1024	valid
150.0ms	970×	body	512	valid
49.0ms	479×	body	256	valid
31.0ms	498×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 176 to 127 computations (27.8% saved)

Details

analyze791.0ms (12.8%)

sample69.0ms (1.1%)

simplify234.0ms (3.8%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

rewrite11.0ms (0.2%)

series60.0ms (1%)

simplify70.0ms (1.1%)

prune33.0ms (0.5%)

localize11.0ms (0.2%)

rewrite20.0ms (0.3%)

series220.0ms (3.6%)

simplify87.0ms (1.4%)

prune100.0ms (1.6%)

localize13.0ms (0.2%)

rewrite21.0ms (0.3%)

series759.0ms (12.3%)

simplify79.0ms (1.3%)

prune107.0ms (1.7%)

localize16.0ms (0.3%)

rewrite22.0ms (0.4%)

series932.0ms (15.1%)

simplify67.0ms (1.1%)

prune124.0ms (2%)

regimes51.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (36.6%)

Profiling