Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample83.0ms

Algorithm

intervals

Results

25.0ms	42×	body	1280	valid
15.0ms	42×	body	640	valid
9.0ms	125×	body	80	valid
6.0ms	28×	body	320	valid
3.0ms	3×	body	2560	valid
2.0ms	52×	body	80	nan
2.0ms	10×	body	640	nan
2.0ms	16×	body	160	valid
2.0ms	33×	body	80	overflowed
1.0ms	4×	body	1280	nan
1.0ms	5×	body	320	nan
0.0ms	1×	body	160	nan
0.0ms	1×	body	80	invalid

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.7b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
2.1b	(log (+ 1.0 (- (* y (exp z)) y)))
2.6b	(- (* y (exp z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `log-prod` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `div-sub` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series67.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
41.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
14.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5135	1208

prune166.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Merged error: 3.6b

Counts

90 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
25.5b	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`add-sqr-sqrt`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`log-prod` `add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
11.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

series73.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
17.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
12.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4934	527
1	4934	527

prune97.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 3.6b

Counts

68 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* y (exp z)) y)
2.6b	(- (* y (exp z)) y)
5.2b	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
6.0b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`sum-cubes`

Counts

4 → 56

Calls

4 calls:

5.0ms	(- (* y (exp z)) y)
5.0ms	(- (* y (exp z)) y)
18.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
4.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y (exp z)) y)
7.0ms	(- (* y (exp z)) y)
67.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
61.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

simplify28.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4989	1369
1	4989	1369

prune198.0ms

Filtered

55 candidates to 68 candidates (-23.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	66	9	75

Merged error: 3.6b

Counts

75 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

5.2b	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
6.0b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
6.0b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
6.0b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`
1×	`sum-cubes`

Counts

4 → 62

Calls

4 calls:

17.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
4.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
4.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
4.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
63.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
62.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))
60.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ 1.0 y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4973	2373
1	4973	2373

prune308.0ms

Filtered

57 candidates to 74 candidates (-29.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	74	9	83

Merged error: 3.6b

Counts

83 → 9

regimes578.0ms

Accuracy

74.6% (3.9b remaining)

Error of 7.8b against oracle of 3.8b and baseline of 19.3b

bsearch44.0ms

Steps

Iters	Range		Point
8	-3.8645232338370925	-0.0006557119384603907	-0.0006917303965414979

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	230	43
1	230	43

end0.0ms

sample2.6s

Algorithm

intervals

Results

857.0ms	1444×	body	1280	valid
525.0ms	1527×	body	640	valid
253.0ms	3537×	body	80	valid
204.0ms	925×	body	320	valid
125.0ms	91×	body	2560	valid
66.0ms	1431×	body	80	nan
64.0ms	476×	body	160	valid
62.0ms	256×	body	640	nan
45.0ms	855×	body	80	overflowed
35.0ms	99×	body	1280	nan
31.0ms	184×	body	320	nan
12.0ms	114×	body	160	nan
1.0ms	17×	body	80	invalid
1.0ms	2×	body	1280	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	320	invalid

Details

analyze1.1s

sample83.0ms

simplify227.0ms

prune13.0ms

localize10.0ms

rewrite26.0ms

series67.0ms

simplify55.0ms

prune166.0ms

localize14.0ms

rewrite25.0ms

series73.0ms

simplify51.0ms

prune97.0ms

localize20.0ms

rewrite34.0ms

series142.0ms

simplify28.0ms

prune198.0ms

localize27.0ms

rewrite30.0ms

series249.0ms

simplify63.0ms

prune308.0ms

regimes578.0ms

bsearch44.0ms

simplify3.0ms

end0.0ms

sample2.6s

Profiling