Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample62.0ms

Algorithm

intervals

Results

39.0ms	81×	body	1280	valid
10.0ms	43×	body	640	valid
4.0ms	31×	body	320	valid
2.0ms	92×	body	80	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	4
1	6	4

prune2.0ms

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: 38.7b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.3b	(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `log-prod_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4968	137
1	4968	137

prune27.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.4b	(*.f64 x 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(*.f64 x 1/3)

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
8.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
3.0ms	(*.f64 x 1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5469	611

prune71.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	70	6	76

Merged error: 0.1b

Counts

76 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.1b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.4b	(*.f64 x 1/3)

rewrite23.0ms

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 (.f64 x 1/3) -1/2))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
6.0ms	(*.f64 x 1/3)

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
10.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
3.0ms	(*.f64 x 1/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5517	559

prune57.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Merged error: 0.1b

Counts

79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))) (cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))))
12.8b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
12.8b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
12.8b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))) (cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))))
12.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
13.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
12.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4897	1535
1	4897	1535

prune136.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	84	6	90

Merged error: 0.1b

Counts

90 → 6

regimes132.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2336×	body	1280	valid
373.0ms	1641×	body	640	valid
93.0ms	794×	body	320	valid
73.0ms	2810×	body	80	valid
29.0ms	419×	body	160	valid

Details

analyze2.0ms

sample62.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify42.0ms

prune27.0ms

localize9.0ms

rewrite17.0ms

series16.0ms

simplify52.0ms

prune71.0ms

localize6.0ms

rewrite23.0ms

series21.0ms

simplify43.0ms

prune57.0ms

localize11.0ms

rewrite23.0ms

series53.0ms

simplify91.0ms

prune136.0ms

regimes132.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling