Details

analyze310.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample30.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune3.0ms

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: 3.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.0b	(- 1.0 (* (- 1.0 y) z))
3.2b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
3×	`sub-neg` `flip3--` `flip--`
2×	`associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 55

Calls

3 calls:

7.0ms	(* (- 1.0 y) z)
3.0ms	(- 1.0 (* (- 1.0 y) z))
6.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 y) z)
5.0ms	(- 1.0 (* (- 1.0 y) z))
16.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	858
1	4982	858

prune170.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	54	10	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	11	65

Merged error: 3.2b

Counts

65 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
3.2b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`cbrt-prod` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (- 1.0 y))
11.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (- 1.0 y))
11.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))
15.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

simplify131.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4857	1195
1	4857	1195

prune264.0ms

Filtered

58 candidates to 79 candidates (-36.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	79	11	90

Merged error: 3.2b

Counts

90 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.4b	(cbrt (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))
3.4b	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.4b	(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.0ms	(cbrt (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))
3.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
39.0ms	(cbrt (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))
41.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
34.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify183.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4930	1869
1	4930	1869

prune363.0ms

Filtered

65 candidates to 78 candidates (-20.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	77	12	89

Merged error: 3.2b

Counts

89 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
1.5b	(* (- 1.0 (* (- 1.0 y) z)) (cbrt x))
2.0b	(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* (- 1.0 y) z)) (cbrt x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`pow1`
23×	`cbrt-prod`
20×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`pow1/3`
6×	`swap-sqr` `unswap-sqr`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`flip3--` `associate-*r/` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (cbrt x))
6.0ms	(* (- 1.0 (* (- 1.0 y) z)) (cbrt x))
19.0ms	(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* (- 1.0 y) z)) (cbrt x)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt x)
29.0ms	(* (cbrt x) (cbrt x))
45.0ms	(* (- 1.0 (* (- 1.0 y) z)) (cbrt x))
19.0ms	(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* (- 1.0 y) z)) (cbrt x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4979	1363
1	4979	1363

prune144.0ms

Filtered

67 candidates to 111 candidates (-65.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	7	8
Picked	1	0	1
Done	0	3	3
Total	111	12	123

Merged error: 1.7b

Counts

123 → 12

regimes1.1s

Accuracy

0% (1.5b remaining)

Error of 3.3b against oracle of 1.8b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	52
1	37	52

end0.0ms

sample433.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
19.0ms	693×	body	80	invalid

Details

analyze310.0ms

sample30.0ms

simplify54.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series25.0ms

simplify52.0ms

prune170.0ms

localize20.0ms

rewrite25.0ms

series44.0ms

simplify131.0ms

prune264.0ms

localize30.0ms

rewrite22.0ms

series180.0ms

simplify183.0ms

prune363.0ms

localize10.0ms

rewrite35.0ms

series121.0ms

simplify83.0ms

prune144.0ms

regimes1.1s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample433.0ms

Profiling