Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

382×

body

valid

simplify26.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

2.1b	(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))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune41.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.5b	(* (* a z) b)

rewrite23.0ms

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:

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

series187.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
50.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* (* a z) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

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

prune219.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

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))
4.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite31.0ms

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

series532.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt b)
187.0ms	(cbrt b)
47.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
115.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (49.0ms)

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

prune232.0ms

Filtered

94 candidates to 62 candidates (66.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* a z) (* (cbrt b) (cbrt b)))
14.3b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
14.3b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
14.3b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

10.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
8.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
8.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
8.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
206.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
202.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
203.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify105.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	227	549
1	809	466
2	3757	445
3	5001	437

prune273.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes254.0ms

Accuracy

80.5% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.8b

bsearch116.0ms

Steps

Iters	Range		Point
9	2.393150406321272e-118	9.618367896723268e-111	1.3070002007780583e-113
9	-9.874307406656873e-09	-1.013369590658754e-15	-9.368242267357808e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample854.0ms

Algorithm

intervals

Results

447.0ms

11730×

body

valid