Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

378×

body

valid

simplify23.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
4.6b	(* (* 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:

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ x (* y z)) (* t a))
90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ x (* y z))
33.0ms	(* (* a z) b)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5002	330

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
4.6b	(* (* 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))
5.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
3.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series200.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma t a (* (* a z) b))
86.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
25.0ms	(+ x (* y z))
26.0ms	(* (* a z) b)

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

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

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z y (* (fma b z t) a))
0.0b	(+ x (fma z y (* (fma b z t) a)))
3.0b	(* (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:

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

series212.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma z y (* (fma b z t) a))
97.0ms	(+ x (fma z y (* (fma b z t) a)))
53.0ms	(* (fma b z t) a)

simplify84.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (79.0ms)

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

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.9b	(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))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify66.0ms

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

prune44.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

34.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch37.0ms

Steps

Iters	Range		Point
6	1.2219014593692723e-69	1.4204298954588733e-68	7.581671218297873e-69

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample827.0ms

Algorithm

intervals

Results

436.0ms

11729×

body

valid