Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

391×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (21.0ms)

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.7b	(* (* a z) b)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series200.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
93.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms	(* (* a z) b)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune237.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t a (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
4.7b	(* (* a z) b)

rewrite30.0ms

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))
5.0ms	(+ x (* y z))
11.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
10.0ms	(* (* a z) b)

series230.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma t a (* (* a z) b))
25.0ms	(+ x (* y z))
93.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
45.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (43.0ms)

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

prune239.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.5b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
13.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
10.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt b)
196.0ms	(cbrt b)
55.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
115.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify68.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	264	571
1	1326	416
2	5002	367

prune250.0ms

Filtered

94 candidates to 62 candidates (66.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (fma b z t) a (fma z y x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (fma b z t) a (fma z y x))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(fma (fma b z t) a (fma z y x))

simplify64.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	43	58
1	90	51
2	283	49
3	1864	49
4	5001	49

prune43.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	13	5	18

Merged error: 0b

Counts

18 → 5

regimes223.0ms

Accuracy

80.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.9b

bsearch103.0ms

Steps

Iters	Range		Point
6	1.1754838790557832e+82	9.443446665517707e+82	1.5818788314731854e+82
8	-1.1606950573950642e+22	-4.4881536953080954e+17	-1.2404292780107648e+18

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample941.0ms

Algorithm

intervals

Results

543.0ms

11758×

body

valid

Details

sample36.0ms

simplify27.0ms

prune12.0ms

localize16.0ms

rewrite24.0ms

series200.0ms

simplify63.0ms

prune237.0ms

localize16.0ms

rewrite30.0ms

series230.0ms

simplify50.0ms

prune239.0ms

localize15.0ms

rewrite29.0ms

series563.0ms

simplify68.0ms

prune250.0ms

localize10.0ms

rewrite1.0ms

series95.0ms

simplify64.0ms

prune43.0ms

regimes223.0ms

bsearch103.0ms

simplify2.0ms

end0.0ms

sample941.0ms

Profiling