Details

analyze8.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	68×	body	512	valid
4.0ms	156×	body	128	valid
2.0ms	24×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify93.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

13.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_419`
46×	`add-sqr-sqrt_binary64_441`
45×	`times-frac_binary64_425`
22×	`add-cube-cbrt_binary64_454`
13×	`cancel-sign-sub-inv_binary64_385`
10×	`distribute-lft-out--_binary64_371`
9×	`difference-of-squares_binary64_388`
7×	`distribute-lft-out_binary64_370`
6×	`div-inv_binary64_416` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
3×	`pow1_binary64_480` `associate-/l*_binary64_364`
2×	`associate-/r/_binary64_365` `div-exp_binary64_470`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `1-exp_binary64_463` `sub-neg_binary64_412` `inv-pow_binary64_504` `flip3--_binary64_423` `rec-exp_binary64_469` `frac-2neg_binary64_430` `pow-flip_binary64_493` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394` `frac-sub_binary64_428` `cbrt-undiv_binary64_453`

Counts

2 → 81

Calls

2 calls:

24.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))

series22.0ms (1%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
9.0ms	(/.f64 1 (+.f64 x 1))

simplify95.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5212	1244

prune77.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Error

0.0b

Counts

88 → 3

Compiler

Compiled 1280 to 1025 computations (19.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
6×	`add-cube-cbrt_binary64_454`
4×	`associate-r_binary64_359` `associate-*r/_binary64_361` `pow1_binary64_480`
3×	`times-frac_binary64_425` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-/r/_binary64_365` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `distribute-rgt-in_binary64_369` `div-inv_binary64_416` `unswap-sqr_binary64_387` `distribute-lft-out_binary64_370` `distribute-lft-in_binary64_368` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/r_binary64_363`

Counts

2 → 46

Calls

2 calls:

8.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
6.0ms	(*.f64 x (+.f64 1 x))

series38.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 x (+.f64 1 x))
13.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify57.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5927	553

prune43.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	51	4	55

Error

0.0b

Counts

55 → 4

Compiler

Compiled 607 to 452 computations (25.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_425`
78×	`*-un-lft-identity_binary64_419`
50×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
14×	`distribute-lft-out_binary64_370`
13×	`associate-/l*_binary64_364`
6×	`div-inv_binary64_416` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`associate-/r*_binary64_363`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`associate-/r/_binary64_365`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `add-log-exp_binary64_458` `frac-2neg_binary64_430` `flip-+_binary64_393` `pow1_binary64_480` `associate-/l/_binary64_366`

Counts

1 → 86

Calls

1 calls:

8.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series13.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify115.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4907	1866
1	4907	1866

prune80.0ms (3.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Error

Counts

93 → 5

Compiler

Compiled 1469 to 1064 computations (27.6% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
0.5b	(cbrt.f64 (/.f64 -1 x))
0.5b	(cbrt.f64 (/.f64 -1 x))
0.5b	(cbrt.f64 (/.f64 -1 x))

rewrite37.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_450`
81×	`add-sqr-sqrt_binary64_441`
69×	`times-frac_binary64_425`
57×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
16×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501` `unswap-sqr_binary64_387`
7×	`cbrt-div_binary64_451` `div-inv_binary64_416`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`associate-l/_binary64_362` `frac-times_binary64_429` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 144

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
3.0ms	(cbrt.f64 (/.f64 -1 x))
2.0ms	(cbrt.f64 (/.f64 -1 x))
2.0ms	(cbrt.f64 (/.f64 -1 x))

series381.0ms (17.1%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
92.0ms	(cbrt.f64 (/.f64 -1 x))
91.0ms	(cbrt.f64 (/.f64 -1 x))
87.0ms	(cbrt.f64 (/.f64 -1 x))

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5040	2446

prune218.0ms (9.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	156	5	161

Error

Counts

161 → 5

Compiler

Compiled 3732 to 2881 computations (22.8% saved)

regimes51.0ms (2.3%)

Accuracy

Total 0.1b remaining (89.7%)

Threshold costs 0.1b (89.7%)

Compiler

Compiled 416 to 354 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample719.0ms (32.2%)

Algorithm

1×

intervals

Results

143.0ms	2044×	body	512	valid
129.0ms	4619×	body	128	valid
45.0ms	930×	body	256	valid
39.0ms	407×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 215 to 184 computations (14.4% saved)

Details

analyze8.0ms (0.4%)

sample16.0ms (0.7%)

simplify93.0ms (4.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite36.0ms (1.6%)

series22.0ms (1%)

simplify95.0ms (4.3%)

prune77.0ms (3.4%)

localize4.0ms (0.2%)

rewrite17.0ms (0.8%)

series38.0ms (1.7%)

simplify57.0ms (2.5%)

prune43.0ms (1.9%)

localize4.0ms (0.2%)

rewrite16.0ms (0.7%)

series13.0ms (0.6%)

simplify115.0ms (5.1%)

prune80.0ms (3.6%)

localize8.0ms (0.4%)

rewrite37.0ms (1.6%)

series381.0ms (17.1%)

simplify75.0ms (3.4%)

prune218.0ms (9.7%)

regimes51.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (32.2%)

Profiling