Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

391×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

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

localize13.0ms

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))
5.2b	(* (* a z) b)

rewrite73.0ms

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:

50.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
11.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series207.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(+ x (* y z))
56.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (56.0ms)

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

prune270.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
3.7b	(* a (* z b))

rewrite70.0ms

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:

48.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
2.0ms	(+ x (* y z))
11.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* a (* z b))

series200.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
26.0ms	(+ x (* y z))
53.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* a (* z b))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

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

prune428.0ms

Pruning

4 alts after pruning (4 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))
0.0b	(+ (+ x (* y z)) (fma t a (* a (* z b))))
3.7b	(* a (* z b))

rewrite22.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+` `fma-udef`
1×	`associate-+l+` `associate-+r+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma t a (* a (* z b)))
2.0ms	(+ x (* y z))
11.0ms	(+ (+ x (* y z)) (fma t a (* a (* z b))))
6.0ms	(* a (* z b))

series222.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma t a (* a (* z b)))
27.0ms	(+ x (* y z))
97.0ms	(+ (+ x (* y z)) (fma t a (* a (* z b))))
29.0ms	(* a (* z b))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	272	337
1	1098	287
2	5002	275

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma a t (fma z y x)) (* a (* z b)))
0.0b	(fma a t (fma z y x))
3.7b	(* a (* z b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (fma a t (fma z y x)) (* a (* z b)))
0.0ms	(fma a t (fma z y x))
6.0ms	(* a (* z b))

series210.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ (fma a t (fma z y x)) (* a (* z b)))
65.0ms	(fma a t (fma z y x))
29.0ms	(* a (* z b))

simplify152.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	191	235
1	785	210
2	4378	210
3	5001	210

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes180.0ms

Accuracy

21.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.8b

bsearch120.0ms

Steps

Iters	Range		Point
9	1.760984088591002e-143	6.987627315780133e-136	7.650549830274309e-137
9	-3.341477536928727e+31	-1.4992112650889504e+26	-3.337085368854656e+27

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample864.0ms

Algorithm

intervals

Results

463.0ms

11857×

body

valid