Details

analyze247.0ms

Algorithm: search

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify9.0ms

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

prune3.0ms

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: 3.9b

Counts

2 → 1

localize182.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.7b	(* x (- 1.0 (* y z)))

rewrite8.0ms

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:

2.0ms	(- 1.0 (* y z))
5.0ms	(* x (- 1.0 (* y z)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- 1.0 (* y z))
9.0ms	(* x (- 1.0 (* y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

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

prune66.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 3.7b

Counts

43 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* y z))))
5.9b	(* x (neg (* 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:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (neg (* y z))))
7.0ms	(* x (neg (* 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

prune59.0ms

Filtered

33 candidates to 42 candidates (-27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* y z))))
3.7b	(* x (- 1.0 (* y z)))
3.7b	(* x (- 1.0 (* y z)))
3.7b	(* x (- 1.0 (* y z)))

rewrite21.0ms

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:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (* x (- 1.0 (* y z))))
9.0ms	(* x (- 1.0 (* y z)))
9.0ms	(* x (- 1.0 (* y z)))
10.0ms	(* x (- 1.0 (* y z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	221	491
1	777	434
2	2985	430
3	5002	427

prune147.0ms

Filtered

64 candidates to 95 candidates (-48.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (neg y)) z))
6.2b	(* (* x (neg y)) z)

rewrite9.0ms

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 (neg y)) z))
5.0ms	(* (* x (neg y)) z)

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
7.0ms	(* (* x (neg y)) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (32.0ms)

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

prune36.0ms

Filtered

28 candidates to 38 candidates (-35.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	35	9	44

Merged error: 0.0b

Counts

44 → 9

regimes529.0ms

Accuracy

93% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

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

analyze241.0ms

Algorithm: search

sample374.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
13.0ms	548×	body	80	invalid

Details

analyze247.0ms

sample14.0ms

simplify9.0ms

prune3.0ms

localize182.0ms

rewrite8.0ms

series13.0ms

simplify55.0ms

prune66.0ms

localize7.0ms

rewrite9.0ms

series17.0ms

simplify44.0ms

prune59.0ms

localize12.0ms

rewrite21.0ms

series58.0ms

simplify81.0ms

prune147.0ms

localize7.0ms

rewrite9.0ms

series17.0ms

simplify36.0ms

prune36.0ms

regimes529.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze241.0ms

sample374.0ms

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