Details

analyze879.0ms

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	86×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	550	9
1	550	9

prune4.0ms

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: 7.9b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z t))
7.4b	(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 41

Calls

2 calls:

3.0ms	(- (* x y) (* z t))
5.0ms	(/ (- (* x y) (* z t)) a)

series24.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (* x y) (* z t))
14.0ms	(/ (- (* x y) (* z t)) a)

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5334	577

prune76.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.1b

Counts

48 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z t))
7.5b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-exp-log` `*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(- (* x y) (* z t))
10.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series24.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (* x y) (* z t))
14.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5281	652

prune77.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

7.4b	(/ (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) a)
8.4b	(cbrt (- (* x y) (* z t)))
8.4b	(cbrt (- (* x y) (* z t)))
8.4b	(cbrt (- (* x y) (* z t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-*r/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 88

Calls

4 calls:

23.0ms	(/ (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) a)
4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) a)
39.0ms	(cbrt (- (* x y) (* z t)))
37.0ms	(cbrt (- (* x y) (* z t)))
38.0ms	(cbrt (- (* x y) (* z t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5027	1670

prune162.0ms

Filtered

85 candidates to 100 candidates (-17.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (- (* x y) (* z t)))
8.4b	(cbrt (- (* x y) (* z t)))
8.4b	(cbrt (- (* x y) (* z t)))
8.4b	(cbrt (- (* x y) (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- (* x y) (* z t)))
36.0ms	(cbrt (- (* x y) (* z t)))
36.0ms	(cbrt (- (* x y) (* z t)))
39.0ms	(cbrt (- (* x y) (* z t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4921	820
1	4921	820

prune76.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes1.2s

Accuracy

91.8% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	41
1	72	41

end0.0ms

sample697.0ms

Algorithm

intervals

Results

274.0ms	8000×	body	80	valid
97.0ms	3000×	body	80	invalid

Details

analyze879.0ms

sample26.0ms

simplify22.0ms

prune4.0ms

localize12.0ms

rewrite10.0ms

series24.0ms

simplify39.0ms

prune76.0ms

localize9.0ms

rewrite17.0ms

series24.0ms

simplify42.0ms

prune77.0ms

localize11.0ms

rewrite38.0ms

series129.0ms

simplify38.0ms

prune162.0ms

localize16.0ms

rewrite16.0ms

series149.0ms

simplify70.0ms

prune76.0ms

regimes1.2s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample697.0ms

Profiling