Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

310×

body

valid

simplify11.0ms

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: 1.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.5b	(* 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)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* 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

prune53.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	19	8	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	9	28

Merged error: 1.5b

Counts

28 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
1.6b	(cbrt (- 1.0 (* y z)))
1.6b	(cbrt (- 1.0 (* y z)))
1.6b	(cbrt (- 1.0 (* y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (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)))

series890.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
230.0ms	(cbrt (- 1.0 (* y z)))
225.0ms	(cbrt (- 1.0 (* y z)))
219.0ms	(cbrt (- 1.0 (* y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	354	1088
1	1370	1031
2	5001	970

prune281.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	100	8	108

Merged error: 1.5b

Counts

108 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (- 1.0 (* y z)))
1.6b	(cbrt (- 1.0 (* y z)))
1.7b	(cbrt (+ 1.0 (* y z)))
10.8b	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (+ 1.0 (* y z)))
4.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (- 1.0 (* y z)))
215.0ms	(cbrt (- 1.0 (* y z)))
200.0ms	(cbrt (+ 1.0 (* y z)))
114.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	376	695
1	1346	661
2	5001	638

prune285.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	65	8	73

Merged error: 1.5b

Counts

73 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (- 1.0 (* y z))))
0.1b	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
0.5b	(sqrt (- 1.0 (* y z)))
0.5b	(sqrt (- 1.0 (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (- 1.0 (* y z))))
14.0ms	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
2.0ms	(sqrt (- 1.0 (* y z)))
3.0ms	(sqrt (- 1.0 (* y z)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (sqrt (- 1.0 (* y z))))
47.0ms	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
96.0ms	(sqrt (- 1.0 (* y z)))
112.0ms	(sqrt (- 1.0 (* y z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	339	718
1	1486	623
2	5002	611

prune193.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	93	10	103

Merged error: 1.5b

Counts

103 → 10

regimes196.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample374.0ms

Algorithm

intervals

Results

189.0ms

9572×

body

valid