Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

305×

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	52	3
3	88	3
4	102	3
5	102	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: 2.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

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)))

simplify64.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	151	195
1	598	171
2	2506	166
3	5003	160

prune59.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	8	36

Merged error: 2.2b

Counts

36 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
4.6b	(* 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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `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 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (- (* y z))))
5.0ms	(* x (- (* y z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x 1.0) (* x (- (* y z))))
28.0ms	(* x (- (* y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	191	224
1	1076	197
2	5002	193

prune96.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))

rewrite20.0ms

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×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `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 → 74

Calls

4 calls:

11.0ms	(* 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)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
237.0ms	(cbrt (- 1.0 (* y z)))
226.0ms	(cbrt (- 1.0 (* y z)))
232.0ms	(cbrt (- 1.0 (* y z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	352	870
1	1111	811
2	4676	795
3	5001	783

prune238.0ms

Filtered

86 candidates to 74 candidates (86.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-*r/`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

14.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (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)))

series750.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
252.0ms	(cbrt (- 1.0 (* y z)))
222.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	464	1643
1	1678	1523
2	5001	1419

prune237.0ms

Filtered

109 candidates to 80 candidates (73.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

regimes217.0ms

Accuracy

49.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	43	11
2	47	11
3	47	11

end0.0ms

sample426.0ms

Algorithm

intervals

Results

239.0ms

9612×

body

valid