Details

analyze58.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify104.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	268	10
1	268	10

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 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
6×	`associate-r_binary64_359` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385` `pow1_binary64_480`
4×	`distribute-rgt-in_binary64_369` `add-cube-cbrt_binary64_454` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `associate-*r/_binary64_361`
1×	`add-log-exp_binary64_458` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `associate-l*_binary64_360` `flip--_binary64_394`

Counts

1 → 31

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series38.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify73.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4941	390
1	4941	390

prune31.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Error

0.0b

Counts

35 → 7

Compiler

Compiled 438 to 225 computations (48.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64_450`
44×	`add-sqr-sqrt_binary64_441`
42×	`*-un-lft-identity_binary64_419`
18×	`cbrt-div_binary64_451`
15×	`add-cube-cbrt_binary64_454`
14×	`difference-of-squares_binary64_388`
11×	`swap-sqr_binary64_386` `pow1_binary64_480`
9×	`pow1/3_binary64_501` `associate-r_binary64_359` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate-l_binary64_360` `flip--_binary64_394`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `frac-times_binary64_429` `add-cbrt-cube_binary64_455`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 107

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

series100.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
25.0ms	(cbrt.f64 (-.f64 1 y))
25.0ms	(cbrt.f64 (-.f64 1 y))
23.0ms	(cbrt.f64 (-.f64 1 y))

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5136	1774

prune155.0ms (6.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Error

Counts

126 → 8

Compiler

Compiled 2929 to 2045 computations (30.2% saved)

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
0.2b	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
0.2b	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`cbrt-prod_binary64_450`
30×	`unpow-prod-down_binary64_498`
28×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
16×	`add-cube-cbrt_binary64_454`
9×	`pow-unpow_binary64_496`
8×	`difference-of-squares_binary64_388`
7×	`add-exp-log_binary64_457` `pow1_binary64_480`
6×	`pow-pow_binary64_491`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `cbrt-div_binary64_451` `distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455`
3×	`pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `unpow2_binary64_484`
1×	`flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 97

Calls

4 calls:

8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

series156.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
44.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
42.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
24.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5394	1606

prune240.0ms (10.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	109	8	117

Error

Counts

117 → 8

Compiler

Compiled 4149 to 3274 computations (21.1% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (+.f64 1 y))
4.9b	(cbrt.f64 (-.f64 1 (*.f64 y y)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_450`
17×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
8×	`cbrt-div_binary64_451` `add-cube-cbrt_binary64_454`
6×	`difference-of-squares_binary64_388`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3--_binary64_423` `flip--_binary64_394`
2×	`distribute-lft-out--_binary64_371`
1×	`flip3-+_binary64_422` `distribute-lft-out_binary64_370` `flip-+_binary64_393`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y y)))

series127.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt.f64 (-.f64 1 (*.f64 y y)))
26.0ms	(cbrt.f64 (-.f64 1 y))
25.0ms	(cbrt.f64 (-.f64 1 y))
22.0ms	(cbrt.f64 (+.f64 1 y))

simplify91.0ms (4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5392	1029

prune107.0ms (4.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	73	8	81

Error

Counts

81 → 8

Compiler

Compiled 2284 to 1500 computations (34.3% saved)

regimes91.0ms (4%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 804 to 650 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample600.0ms (26.4%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	128	valid
3.0ms	158×	body	128	invalid

Compiler

Compiled 277 to 225 computations (18.8% saved)

Details

analyze58.0ms (2.6%)

sample16.0ms (0.7%)

simplify104.0ms (4.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite12.0ms (0.5%)

series38.0ms (1.7%)

simplify73.0ms (3.2%)

prune31.0ms (1.4%)

localize8.0ms (0.3%)

rewrite36.0ms (1.6%)

series100.0ms (4.4%)

simplify72.0ms (3.2%)

prune155.0ms (6.8%)

localize17.0ms (0.7%)

rewrite36.0ms (1.6%)

series156.0ms (6.8%)

simplify63.0ms (2.8%)

prune240.0ms (10.6%)

localize15.0ms (0.7%)

rewrite21.0ms (0.9%)

series127.0ms (5.6%)

simplify91.0ms (4%)

prune107.0ms (4.7%)

regimes91.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample600.0ms (26.4%)

Profiling