Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample34.0ms

Algorithm

intervals

Results

18.0ms	124×	body	1024	valid
5.0ms	70×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	13×	body	2048	valid
1.0ms	25×	body	256	valid
1.0ms	24×	body	128	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

prune1.0ms

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

Merged error: 57.9b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

5.4b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (exp.f64 x) 1)

simplify68.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4936	196
1	4936	196

prune22.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `flip-+_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series191.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
74.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
27.0ms	(*.f64 x 1/6)

simplify65.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4918	823
1	4918	823

prune43.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.1b

Counts

77 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
5.4b	(-.f64 (exp.f64 x) 1)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`difference-of-squares_binary64`
9×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 79

Calls

3 calls:

6.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
6.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
4.0ms	(-.f64 (exp.f64 x) 1)

series99.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
17.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
16.0ms	(-.f64 (exp.f64 x) 1)

simplify73.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4944	1116
1	4944	1116

prune36.0ms

Filtered

42 candidates to 88 candidates (-109.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	87	5	92

Merged error: 0.1b

Counts

92 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.4b	(*.f64 x 1/6)
41.4b	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`associate-r_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `cube-div_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `associate-r/_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow3_binary64` `-commutative_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 89

Calls

4 calls:

4.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))

series180.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
96.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
20.0ms	(*.f64 x 1/6)
30.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5820	1896

prune61.0ms

Filtered

57 candidates to 101 candidates (-77.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	100	6	106

Merged error: 0.1b

Counts

106 → 6

regimes52.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

553.0ms	3973×	body	1024	valid
149.0ms	2045×	body	512	valid
85.0ms	8001×	pre	128	true
66.0ms	437×	body	2048	valid
43.0ms	968×	body	256	valid
13.0ms	577×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze3.0ms

sample34.0ms

simplify7.0ms

prune1.0ms

localize7.0ms

rewrite6.0ms

series17.0ms

simplify68.0ms

prune22.0ms

localize6.0ms

rewrite21.0ms

series191.0ms

simplify65.0ms

prune43.0ms

localize5.0ms

rewrite24.0ms

series99.0ms

simplify73.0ms

prune36.0ms

localize9.0ms

rewrite27.0ms

series180.0ms

simplify45.0ms

prune61.0ms

regimes52.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling