Details

analyze5.0ms (0.2%)

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)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms	59×	body	512	valid
4.0ms	141×	body	128	valid
2.0ms	41×	body	256	valid
1.0ms	15×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify98.0ms (4.9%)

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

16.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
4.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite37.0ms (1.8%)

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:

25.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))

series22.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
8.0ms	(/.f64 1 (+.f64 x 1))

simplify95.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5212	1244

prune80.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Error

0.0b

Counts

88 → 4

Compiler

Compiled 1305 to 1045 computations (19.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.6b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite15.0ms (0.7%)

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:

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

series38.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 x (+.f64 1 x))
12.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify57.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5927	553

prune45.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Error

Counts

56 → 6

Compiler

Compiled 635 to 472 computations (25.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.8%)

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))

series12.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify118.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4907	1866
1	4907	1866

prune82.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Error

Counts

95 → 6

Compiler

Compiled 1479 to 1069 computations (27.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 -1 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 x 1) (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_457`
16×	`add-cbrt-cube_binary64_455`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `cbrt-prod_binary64_450` `add-sqr-sqrt_binary64_441`
8×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
5×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `pow1_binary64_480`
3×	`pow1/3_binary64_501` `times-frac_binary64_425` `associate-/l*_binary64_364`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361` `associate-/r/_binary64_365`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `flip-+_binary64_393` `associate-/r*_binary64_363`

Counts

4 → 62

Calls

4 calls:

13.0ms	(/.f64 -1 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 x 1) (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series272.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
27.0ms	(/.f64 -1 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 x 1) (cbrt.f64 x))))

simplify54.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4909	698
1	4909	698

prune55.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	74	6	80

Error

Counts

80 → 6

Compiler

Compiled 1109 to 642 computations (42.1% saved)

regimes63.0ms (3.1%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 576 to 480 computations (16.7% 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%)

sample784.0ms (38.9%)

Algorithm

1×

intervals

Results

146.0ms	2005×	body	512	valid
125.0ms	4622×	body	128	valid
50.0ms	961×	body	256	valid
41.0ms	412×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 295 to 247 computations (16.3% saved)

Details

analyze5.0ms (0.2%)

sample17.0ms (0.9%)

simplify98.0ms (4.9%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite37.0ms (1.8%)

series22.0ms (1.1%)

simplify95.0ms (4.7%)

prune80.0ms (4%)

localize4.0ms (0.2%)

rewrite15.0ms (0.7%)

series38.0ms (1.9%)

simplify57.0ms (2.8%)

prune45.0ms (2.3%)

localize4.0ms (0.2%)

rewrite16.0ms (0.8%)

series12.0ms (0.6%)

simplify118.0ms (5.9%)

prune82.0ms (4.1%)

localize9.0ms (0.4%)

rewrite21.0ms (1%)

series272.0ms (13.5%)

simplify54.0ms (2.7%)

prune55.0ms (2.7%)

regimes63.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample784.0ms (38.9%)

Profiling