Details

analyze9.0ms

Algorithm

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

sample19.0ms

Algorithm

intervals

Results

7.0ms	74×	body	640	valid
3.0ms	43×	body	320	valid
3.0ms	121×	body	80	valid
1.0ms	18×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	497	9
1	497	9

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 12.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 x 1.0))
1.8b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out--_binary64`
7×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`pow1_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 57

Calls

2 calls:

5.0ms	(/.f64 1.0 (+.f64 x 1.0))
17.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 1.0 (+.f64 x 1.0))
5.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5088	709

prune67.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.2b

Counts

64 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1.0 x))
0.2b	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `*-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 1.0 x))
9.0ms	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 1.0 x))
4.0ms	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

simplify25.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5052	474

prune50.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
4×	`associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r/_binary64` `distribute-lft-neg-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5446	367

prune32.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series80.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
23.0ms	(cbrt.f64 x)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune73.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	10
1	40	10

end0.0ms

sample483.0ms

Algorithm

intervals

Results

176.0ms	1917×	body	640	valid
102.0ms	4186×	body	80	valid
87.0ms	1261×	body	320	valid
29.0ms	636×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze9.0ms

sample19.0ms

simplify39.0ms

prune4.0ms

localize5.0ms

rewrite25.0ms

series8.0ms

simplify47.0ms

prune67.0ms

localize6.0ms

rewrite17.0ms

series10.0ms

simplify25.0ms

prune50.0ms

localize6.0ms

rewrite10.0ms

series4.0ms

simplify43.0ms

prune32.0ms

localize10.0ms

rewrite12.0ms

series80.0ms

simplify48.0ms

prune73.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample483.0ms

Profiling