Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

378×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (14.0ms)

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

prune9.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

1.9b	(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))

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify63.0ms

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

prune52.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series146.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* (fma a b y) z) (fma a t x))
50.0ms	(* (fma a b y) z)

simplify83.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	162	180
1	535	161
2	3029	161
3	5003	160

prune118.0ms

Filtered

41 candidates to 31 candidates (75.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize11.0ms

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))
5.8b	(* (* 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)

series193.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
51.0ms	(+ (+ x (* y z)) (* t a))
85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
30.0ms	(* (* a z) b)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

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

prune235.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize12.0ms

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)))
5.6b	(* a (* z b))

rewrite25.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ x (* y z))
6.0ms	(+ (+ 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:

27.0ms	(+ x (* y z))
53.0ms	(+ (+ x (* y z)) (* t a))
88.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
32.0ms	(* a (* z b))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	346	404
1	1564	338
2	5001	329

prune208.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes275.0ms

Accuracy

79.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.9b

bsearch106.0ms

Steps

Iters	Range		Point
8	1.5386028402762397e-91	2.61157586936395e-87	1.2492186596736985e-89
8	-4.410987130573061e-75	-6.93407400838049e-79	-4.9542557062808695e-76

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	11
1	35	11

end0.0ms

sample948.0ms

Algorithm

intervals

Results

548.0ms

11791×

body

valid