Details

sample51.0ms

Algorithm

intervals

Results

33.0ms

398×

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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:

0.0ms

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

series98.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

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

prune55.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma a b y) z (fma a t x)))
1.9b	(fma (fma a b y) z (fma a t x))
1.9b	(fma (fma a b y) z (fma a t x))
1.9b	(fma (fma a b y) z (fma a t x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

0.0ms	(cbrt (fma (fma a b y) z (fma a t x)))
0.0ms	(fma (fma a b y) z (fma a t x))
0.0ms	(fma (fma a b y) z (fma a t x))
0.0ms	(fma (fma a b y) z (fma a t x))

series570.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (fma (fma a b y) z (fma a t x)))
97.0ms	(fma (fma a b y) z (fma a t x))
97.0ms	(fma (fma a b y) z (fma a t x))
97.0ms	(fma (fma a b y) z (fma a t x))

simplify62.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	126	287
1	310	257
2	1134	248
3	5002	246

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))
6.5b	(* (* a z) b)

rewrite64.0ms

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:

2.0ms	(+ x (* y z))
11.0ms	(+ (+ x (* y z)) (* t a))
42.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series195.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(* (* a z) b)

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

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

prune265.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

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

rewrite66.0ms

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:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
45.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(* a (* z b))

series196.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
52.0ms	(+ (+ x (* y z)) (* t a))
90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
28.0ms	(* a (* z b))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

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

prune256.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes270.0ms

Accuracy

90.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch127.0ms

Steps

Iters	Range		Point
7	1.3172620081049746e-27	4.113759228458445e-26	1.5207554558071553e-27
10	-2.6898611977477863e+84	-1.245718354541e+74	-5.277355753028798e+76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

940.0ms

11880×

body

valid