Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify105.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2487`
4×	`*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
1×	`distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series57.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
19.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

simplify85.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4870	455
1	4870	455

prune44.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

0.0b

Counts

40 → 4

Compiler

Compiled 598 to 477 computations (20.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))) (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2407`
18×	`cbrt-div_binary64_2497`
11×	`pow1_binary64_2526`
10×	`add-sqr-sqrt_binary64_2487`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1/3_binary64_2547`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
7×	`cbrt-prod_binary64_2496`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `swap-sqr_binary64_2432` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`associate-*l/_binary64_2408` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))) (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))

series189.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))) (cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
45.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
44.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
42.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4968	1790
1	4968	1790

prune154.0ms (6.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Error

0.0b

Counts

88 → 5

Compiler

Compiled 2899 to 2331 computations (19.6% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_2496`
6×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `cbrt-div_binary64_2497` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
1.0ms	(cbrt.f64 x)

series201.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 x)
44.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
42.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
30.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify80.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4902	927
1	4902	927

prune106.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	58	5	63

Error

0.0b

Counts

63 → 5

Compiler

Compiled 2136 to 1653 computations (22.6% saved)

localize22.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.6b	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.8b	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
1.2b	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-div_binary64_2497` `cbrt-prod_binary64_2496`
6×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
2×	`flip3-+_binary64_2468` `flip--_binary64_2440` `flip-+_binary64_2439` `flip3--_binary64_2469`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
3.0ms	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
3.0ms	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series178.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
46.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
43.0ms	(cbrt.f64 (.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
29.0ms	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify123.0ms (5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5415	1178

prune134.0ms (5.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Error

Counts

65 → 6

Compiler

Compiled 2746 to 2108 computations (23.2% saved)

regimes115.0ms (4.6%)

Accuracy

Total 0.1b remaining (90.8%)

Threshold costs 0.1b (90.8%)

Compiler

Compiled 1249 to 1044 computations (16.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample697.0ms (28%)

Algorithm

1×

intervals

Results

200.0ms

8000×

body

128

valid

Compiler

Compiled 424 to 356 computations (16% saved)

Details

analyze3.0ms (0.1%)

sample11.0ms (0.4%)

simplify105.0ms (4.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite10.0ms (0.4%)

series57.0ms (2.3%)

simplify85.0ms (3.4%)

prune44.0ms (1.8%)

localize11.0ms (0.4%)

rewrite30.0ms (1.2%)

series189.0ms (7.6%)

simplify66.0ms (2.7%)

prune154.0ms (6.2%)

localize16.0ms (0.6%)

rewrite17.0ms (0.7%)

series201.0ms (8.1%)

simplify80.0ms (3.2%)

prune106.0ms (4.3%)

localize22.0ms (0.9%)

rewrite22.0ms (0.9%)

series178.0ms (7.2%)

simplify123.0ms (5%)

prune134.0ms (5.4%)

regimes115.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample697.0ms (28%)

Profiling