Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

306×

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: 2.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b	(* 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)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* 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

prune56.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 2.5b

Counts

28 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
5.0b	(* x (- (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* y z))))
5.0ms	(* x (- (* y z)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* x 1.0) (* x (- (* y z))))
25.0ms	(* x (- (* y z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	181	204
1	1018	178
2	5001	174

prune107.0ms

Filtered

42 candidates to 33 candidates (78.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(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)))
3.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
227.0ms	(cbrt (- 1.0 (* y z)))
218.0ms	(cbrt (- 1.0 (* y z)))
224.0ms	(cbrt (- 1.0 (* y z)))

simplify108.0ms

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

prune248.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(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)))

series898.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (- 1.0 (* y z)))
220.0ms	(cbrt (- 1.0 (* y z)))
224.0ms	(cbrt (- 1.0 (* y z)))
219.0ms	(cbrt (- 1.0 (* y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (18.0ms)

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

prune274.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

regimes212.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	12
1	49	12
2	53	12
3	53	12

end0.0ms

sample489.0ms

Algorithm

intervals

Results

249.0ms

9640×

body

valid