Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

389×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.6b	(* (* a z) b)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series171.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ x (* y z)) (* t a))
23.0ms	(+ x (* y z))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune148.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* a z) b)
16.7b	(cbrt (* (* a z) b))
16.7b	(cbrt (* (* a z) b))
16.7b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
3.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series284.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
86.0ms	(cbrt (* (* a z) b))
86.0ms	(cbrt (* (* a z) b))
86.0ms	(cbrt (* (* a z) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune179.0ms

Filtered

57 candidates to 48 candidates (84.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* a z) b)
14.9b	(cbrt (* a z))
16.7b	(cbrt (* (* a z) b))
16.7b	(cbrt (* (* a z) b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
2.0ms	(cbrt (* a z))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series264.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
66.0ms	(cbrt (* a z))
87.0ms	(cbrt (* (* a z) b))
86.0ms	(cbrt (* (* a z) b))

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	217	264
1	796	220
2	3398	204
3	5001	188

prune212.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* a z) b)
14.9b	(cbrt (* a z))
16.7b	(cbrt (* (* a z) b))
16.7b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
2.0ms	(cbrt (* a z))
3.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
67.0ms	(cbrt (* a z))
87.0ms	(cbrt (* (* a z) b))
88.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	232	319
1	833	265
2	3502	246
3	5001	193

prune216.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

regimes328.0ms

Accuracy

77.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch112.0ms

Steps

Iters	Range		Point
8	1.1689937793926415e-108	2.2704156439652422e-104	2.076190915830061e-104
9	-6.47504313357979e-52	-4.877082627773596e-58	-3.1193980571631084e-53

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	28
1	54	28

end0.0ms

sample825.0ms

Algorithm

intervals

Results

442.0ms

11864×

body

valid