Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

310×

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: 4.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
4.4b	(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- 1.0 (* y z))
51.0ms	(* x (- 1.0 (* y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	143	187
1	560	166
2	2091	166
3	5003	166

prune84.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	32	10	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	10	43

Merged error: 4.4b

Counts

43 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.8b	(* 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)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* x 1.0) (* x (- (* y z))))
26.0ms	(* x (- (* y z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (38.0ms)

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

prune76.0ms

Filtered

42 candidates to 33 candidates (78.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

18.0ms	(* 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)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
229.0ms	(cbrt (- 1.0 (* y z)))
254.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	447	1303
1	1317	1199
2	5001	1122

prune257.0ms

Filtered

98 candidates to 74 candidates (75.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- y)) z))
6.5b	(* (* x (- y)) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 1.0) (* (* x (- y)) z))
25.0ms	(* (* x (- y)) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	203	197
1	955	172
2	5001	160

prune57.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	36	8	44

Merged error: 0.0b

Counts

44 → 8

regimes291.0ms

Accuracy

96.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

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

sample415.0ms

Algorithm

intervals

Results

226.0ms

9611×

body

valid