Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

318×

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: 2.3b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

2.2b	(* 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)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify54.0ms

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

prune52.0ms

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: 2.2b

Counts

28 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.8b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.3b	(cbrt (- 1.0 (* y z)))
2.3b	(cbrt (- 1.0 (* y z)))
2.3b	(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)))

series844.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
224.0ms	(cbrt (- 1.0 (* y z)))
264.0ms	(cbrt (- 1.0 (* y z)))
260.0ms	(cbrt (- 1.0 (* y z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (27.0ms)

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

prune208.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 2.2b

Counts

86 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (- 1.0 (* y z)))
1.9b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (- 1.0 (* y z)))
10.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series775.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
174.0ms	(cbrt x)
357.0ms	(* (cbrt x) (- 1.0 (* y z)))
72.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	298	655
1	1298	490
2	5001	423

prune143.0ms

Filtered

94 candidates to 57 candidates (60.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	92	10	102

Merged error: 2.2b

Counts

102 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* y z))))
2.2b	(* x (- 1.0 (* y z)))
2.2b	(* x (- 1.0 (* y z)))
2.2b	(* x (- 1.0 (* y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (* x (- 1.0 (* y z))))
5.0ms	(* x (- 1.0 (* y z)))
7.0ms	(* x (- 1.0 (* y z)))
5.0ms	(* x (- 1.0 (* y z)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (* x (- 1.0 (* y z))))
46.0ms	(* x (- 1.0 (* y z)))
49.0ms	(* x (- 1.0 (* y z)))
46.0ms	(* x (- 1.0 (* y z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	219	491
1	764	434
2	2979	430
3	5002	427

prune166.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	95	10	105

Merged error: 2.2b

Counts

105 → 10

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample429.0ms

Algorithm

intervals

Results

234.0ms

9613×

body

valid