Details

analyze177.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	20
1	468	20
0	2	2
1	2	2

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)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.4%)

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%)

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385` `associate-r_binary64_359`
4×	`add-cube-cbrt_binary64_454` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`sub-neg_binary64_412` `associate-*r/_binary64_361` `difference-of-squares_binary64_388`
1×	`add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `associate-l_binary64_360` `distribute-lft-out--_binary64_371` `*-commutative_binary64_350`

Counts

1 → 31

Calls

1 calls:

8.0ms

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

Compiler

Compiled 441 to 229 computations (48.1% saved)

series98.0ms (2.1%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

92.0ms

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

Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	442
1	4945	442

prune31.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Error

0.0b

Counts

41 → 8

Compiler

Compiled 501 to 179 computations (64.3% saved)

localize10.0ms (0.2%)

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)))

rewrite179.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`pow1_binary64_480` `swap-sqr_binary64_386`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394` `distribute-lft-out--_binary64_371` `associate-l_binary64_360` `associate-r_binary64_359`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `frac-times_binary64_429` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392` `associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 107

Calls

4 calls:

13.0ms	(*.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))

Compiler

Compiled 2781 to 1979 computations (28.8% saved)

series200.0ms (4.2%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

66.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
33.0ms	(cbrt.f64 (-.f64 1 y))
33.0ms	(cbrt.f64 (-.f64 1 y))
32.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1582 to 1272 computations (19.6% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5074	1869

prune177.0ms (3.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	134	11	145

Error

0.0b

Counts

145 → 11

Compiler

Compiled 3263 to 2245 computations (31.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite245.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 97

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
5.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

Compiler

Compiled 3788 to 3030 computations (20% saved)

series302.0ms (6.4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

71.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
69.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
63.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
38.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

Compiler

Compiled 2798 to 2357 computations (15.8% saved)

simplify83.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	1832
1	4964	1832

prune292.0ms (6.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	129	12	141

Error

0.0b

Counts

141 → 12

Compiler

Compiled 4951 to 3878 computations (21.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))
0.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)

rewrite306.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

63×	`cbrt-prod_binary64_450`
44×	`add-sqr-sqrt_binary64_441`
42×	`*-un-lft-identity_binary64_419`
36×	`cbrt-div_binary64_451`
18×	`add-cube-cbrt_binary64_454`
13×	`flip3--_binary64_423` `flip--_binary64_394`
12×	`unpow-prod-down_binary64_498` `difference-of-squares_binary64_388` `pow1_binary64_480`
11×	`swap-sqr_binary64_386`
9×	`pow1/3_binary64_501` `associate-l_binary64_360` `associate-r_binary64_359`
8×	`distribute-lft-out--_binary64_371` `frac-times_binary64_429`
7×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387` `associate-l/_binary64_362` `associate-r/_binary64_361`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491` `pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 122

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
12.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

Compiler

Compiled 4415 to 3367 computations (23.7% saved)

series321.0ms (6.8%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

83.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)
73.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
65.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
35.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

Compiler

Compiled 2699 to 2228 computations (17.5% saved)

simplify122.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4820	2794
1	4820	2794

prune293.0ms (6.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	3	5	8
Picked	0	1	1
Done	0	3	3
Total	163	10	173

Error

0.0b

Counts

173 → 10

Compiler

Compiled 5212 to 3893 computations (25.3% saved)

regimes268.0ms (5.7%)

Accuracy

Total 0.1b remaining (94%)

Threshold costs 0.1b (94%)

Compiler

Compiled 3108 to 2528 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample1.4s (28.7%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
3.0ms	171×	body	128	invalid

Compiler

Compiled 1045 to 851 computations (18.6% saved)

Details

analyze177.0ms (3.8%)

sample13.0ms (0.3%)

simplify18.0ms (0.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite40.0ms (0.9%)

series98.0ms (2.1%)

simplify71.0ms (1.5%)

prune31.0ms (0.7%)

localize10.0ms (0.2%)

rewrite179.0ms (3.8%)

series200.0ms (4.2%)

simplify75.0ms (1.6%)

prune177.0ms (3.8%)

localize14.0ms (0.3%)

rewrite245.0ms (5.2%)

series302.0ms (6.4%)

simplify83.0ms (1.8%)

prune292.0ms (6.2%)

localize13.0ms (0.3%)

rewrite306.0ms (6.5%)

series321.0ms (6.8%)

simplify122.0ms (2.6%)

prune293.0ms (6.2%)

regimes268.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (28.7%)

Profiling