Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
4.0ms	84×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	838	17
1	838	17

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.2b	(* a (* 27.0 b))
5.2b	(* y (* 9.0 (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
4.0ms	(* 9.0 (* z t))
4.0ms	(* a (* 27.0 b))
6.0ms	(* y (* 9.0 (* z t)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
3.0ms	(* 9.0 (* z t))
3.0ms	(* a (* 27.0 b))
8.0ms	(* y (* 9.0 (* z t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5359	674

prune116.0ms

Filtered

45 candidates to 80 candidates (-77.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
0.2b	(* (* 9.0 z) t)
0.2b	(* a (* 27.0 b))
5.2b	(* y (* (* 9.0 z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
4.0ms	(* (* 9.0 z) t)
4.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
3.0ms	(* (* 9.0 z) t)
3.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5208	677

prune104.0ms

Filtered

47 candidates to 80 candidates (-70.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.6b	(* (cbrt a) (cbrt a))
5.2b	(* y (* 9.0 (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`pow1`
15×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
5.0ms	(* (cbrt a) (cbrt a))
6.0ms	(* y (* 9.0 (* z t)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
21.0ms	(cbrt a)
26.0ms	(* (cbrt a) (cbrt a))
6.0ms	(* y (* 9.0 (* z t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4909	470
1	4909	470

prune114.0ms

Filtered

55 candidates to 95 candidates (-72.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.7b	(* (* z t) (cbrt y))
2.8b	(* (* (cbrt y) (cbrt y)) (* 9.0 (* (* z t) (cbrt y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log`
27×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (* z t) (cbrt y))
13.0ms	(* (* (cbrt y) (cbrt y)) (* 9.0 (* (* z t) (cbrt y))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt y)
21.0ms	(cbrt y)
16.0ms	(* (* z t) (cbrt y))
10.0ms	(* (* (cbrt y) (cbrt y)) (* 9.0 (* (* z t) (cbrt y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	555
1	4953	555

prune70.0ms

Filtered

47 candidates to 89 candidates (-89.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

regimes1.5s

Accuracy

77.3% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	122	47
1	122	47

end0.0ms

sample869.0ms

Algorithm

intervals

Results

393.0ms	8000×	body	80	valid
140.0ms	3019×	body	80	invalid

Details

analyze1.4s

sample35.0ms

simplify32.0ms

prune14.0ms

localize12.0ms

rewrite22.0ms

series33.0ms

simplify38.0ms

prune116.0ms

localize12.0ms

rewrite23.0ms

series31.0ms

simplify42.0ms

prune104.0ms

localize16.0ms

rewrite16.0ms

series74.0ms

simplify59.0ms

prune114.0ms

localize19.0ms

rewrite23.0ms

series82.0ms

simplify57.0ms

prune70.0ms

regimes1.5s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample869.0ms

Profiling