Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

367×

body

valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (18.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune12.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.9b	(* (* a z) b)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-l` `*-commutative`

Counts

3 → 55

Calls

3 calls:

3.0ms	(+ x (* y z))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(* (* a z) b)

series142.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y z))
89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	293	310
1	1399	255
2	5001	249

prune204.0ms

Filtered

64 candidates to 50 candidates (78.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t a (* (* a z) b))
0.0b	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
0.0b	(+ x (* y z))
4.9b	(* (* a z) b)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`fma-def`
4×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+` `fma-udef`
1×	`associate-+l+` `associate-+r+` `associate-l` `*-commutative` `distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

1.0ms	(fma t a (* (* a z) b))
6.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
3.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series213.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma t a (* (* a z) b))
94.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
26.0ms	(+ x (* y z))
31.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	283	338
1	1270	288
2	5001	276

prune262.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t a (* (* a z) b))
0.0b	(+ (fma z y x) (fma t a (* (* a z) b)))
4.9b	(* (* a z) b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

1.0ms	(fma t a (* (* a z) b))
3.0ms	(+ (fma z y x) (fma t a (* (* a z) b)))
5.0ms	(* (* a z) b)

series207.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma t a (* (* a z) b))
109.0ms	(+ (fma z y x) (fma t a (* (* a z) b)))
32.0ms	(* (* a z) b)

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	201	259
1	948	224
2	5002	214

prune192.0ms

Filtered

58 candidates to 47 candidates (81.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0.0b

Counts

61 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (fma z y (* (fma b z t) a)))
0.0b	(fma z y (* (fma b z t) a))
2.0b	(* (fma b z t) a)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

3.0ms	(+ x (fma z y (* (fma b z t) a)))
1.0ms	(fma z y (* (fma b z t) a))
4.0ms	(* (fma b z t) a)

series210.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (fma z y (* (fma b z t) a)))
58.0ms	(fma z y (* (fma b z t) a))
53.0ms	(* (fma b z t) a)

simplify81.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	166	236
1	519	211
2	2957	211
3	5001	210

prune183.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Merged error: 0.0b

Counts

60 → 3

regimes151.0ms

Accuracy

74.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch153.0ms

Steps

Iters	Range		Point
9	1.5174736354932313e-77	1.9766524495519856e-68	7.629275917269793e-75
11	-1.1369506945414629e+136	-3.62255104079066e+115	-3.310213993126172e+133

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample926.0ms

Algorithm

intervals

Results

498.0ms

11787×

body

valid