Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

374×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (19.0ms)

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

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

localize9.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (fma a b y) z (fma a t 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 a b y) z (fma a t x))

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune52.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
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` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

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

series172.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
50.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	298	352
1	1535	295
2	5001	285

prune211.0ms

Filtered

66 candidates to 51 candidates (77.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
0.0b	(+ (+ x (* y z)) (* t a))
3.9b	(* a (* z b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

10.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
5.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* a (* z b))

series175.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
50.0ms	(+ (+ x (* y z)) (* t a))
34.0ms	(* a (* z b))

simplify54.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	294	377
1	1405	305
2	5001	294

prune227.0ms

Filtered

67 candidates to 51 candidates (76.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.7b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.4b	(* (* 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:

2.0ms	(cbrt b)
1.0ms	(cbrt b)
13.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
10.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt b)
197.0ms	(cbrt b)
53.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
120.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (54.0ms)

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

prune295.0ms

Filtered

94 candidates to 62 candidates (66.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Merged error: 0.0b

Counts

99 → 5

regimes262.0ms

Accuracy

86.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch128.0ms

Steps

Iters	Range		Point
8	1.916107853091866e-29	4.751284539766977e-26	3.484518942625948e-29
9	-1.930778967641709e+126	-8.897896164793444e+118	-9.08957505555744e+118

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms

sample876.0ms

Algorithm

intervals

Results

465.0ms

11759×

body

valid