Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

289×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune2.0ms

Filtered

1 candidates to 0 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: 3.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (- 1.0 (* y z)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* x (- 1.0 (* y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune50.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Merged error: 3.0b

Counts

28 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

1.1b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite19.0ms

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:

10.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series782.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
223.0ms	(cbrt (- 1.0 (* y z)))
228.0ms	(cbrt (- 1.0 (* y z)))
238.0ms	(cbrt (- 1.0 (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	340	830
1	1061	774
2	4437	756
3	5002	756

prune232.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	76	10	86

Merged error: 3.0b

Counts

86 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series808.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
241.0ms	(cbrt (- 1.0 (* y z)))
223.0ms	(cbrt (- 1.0 (* y z)))
244.0ms	(cbrt (- 1.0 (* y z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	361	901
1	1307	854
2	5002	830

prune217.0ms

Filtered

80 candidates to 67 candidates (83.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	80	10	90

Merged error: 3.0b

Counts

90 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite10.0ms

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:

2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (- 1.0 (* y z)))
231.0ms	(cbrt (- 1.0 (* y z)))
237.0ms	(cbrt (- 1.0 (* y z)))
222.0ms	(cbrt (- 1.0 (* y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	196	696
1	674	668
2	3120	660
3	5001	660

prune237.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 3.0b

Counts

74 → 10

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample370.0ms

Algorithm

intervals

Results

185.0ms

9588×

body

valid