Details

analyze6.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample19.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify817.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (544.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune19.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite60.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `add-cbrt-cube_binary64_455`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`sqr-pow_binary64_391` `pow1_binary64_480`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

29.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
20.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series201.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

115.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
86.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify200.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune426.0ms (2.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	27	22	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	23	51

Merged error: 0.0b

Counts

51 → 23

Compiler

Compiled 1021 to 802 computations (21.4% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `add-cbrt-cube_binary64_455`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`sqr-pow_binary64_391` `pow1_binary64_480`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

12.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

series167.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

120.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
47.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4915	569
1	4915	569

prune957.0ms (6.5%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	33	16	49
Fresh	4	17	21
Picked	0	1	1
Done	0	1	1
Total	37	35	72

Merged error: 0.0b

Counts

72 → 35

Compiler

Compiled 1308 to 1059 computations (19% saved)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `add-cbrt-cube_binary64_455`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`sqr-pow_binary64_391` `pow1_binary64_480`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

13.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))

series276.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

235.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))
40.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify211.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4882	569
1	4882	569

prune483.0ms (3.3%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	35	14	49
Fresh	5	27	32
Picked	0	1	1
Done	0	2	2
Total	40	44	84

Merged error: 0.0b

Counts

84 → 44

Compiler

Compiled 1552 to 1280 computations (17.5% saved)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite67.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `add-cbrt-cube_binary64_455`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`sqr-pow_binary64_391` `pow1_binary64_480`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

28.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))
26.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series327.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

220.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (pow.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) 1)))
107.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify213.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	4882	569
1	4882	569

prune970.0ms (6.6%)

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	29	20	49
Fresh	6	34	40
Picked	0	1	1
Done	0	3	3
Total	35	58	93

Merged error: 0.0b

Counts

93 → 58

Compiler

Compiled 898 to 741 computations (17.5% saved)

regimes948.0ms (6.5%)

Compiler: Compiled 3732 to 3254 computations (12.8% saved)

bsearch888.0ms (6.1%)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

end0.0ms (0%)

sample7.1s (48.3%)

Algorithm

1×

intervals

Results

957.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 1889 to 1647 computations (12.8% saved)

Pareto

Details

analyze6.0ms (0%)

sample19.0ms (0.1%)

simplify817.0ms (5.6%)

prune19.0ms (0.1%)

localize36.0ms (0.2%)

rewrite60.0ms (0.4%)

series201.0ms (1.4%)

simplify200.0ms (1.4%)

prune426.0ms (2.9%)

localize14.0ms (0.1%)

rewrite25.0ms (0.2%)

series167.0ms (1.1%)

simplify105.0ms (0.7%)

prune957.0ms (6.5%)

localize23.0ms (0.2%)

rewrite27.0ms (0.2%)

series276.0ms (1.9%)

simplify211.0ms (1.4%)

prune483.0ms (3.3%)

localize29.0ms (0.2%)

rewrite67.0ms (0.5%)

series327.0ms (2.2%)

simplify213.0ms (1.5%)

prune970.0ms (6.6%)

regimes948.0ms (6.5%)

bsearch888.0ms (6.1%)

simplify35.0ms (0.2%)

end0.0ms (0%)

sample7.1s (48.3%)

Profiling