Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

365×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (12.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

1.0b	(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))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (fma a b y) z (fma a t x))) (cbrt (fma (fma a b y) z (fma a t x))))
1.0b	(fma (fma a b y) z (fma a t x))
1.0b	(fma (fma a b y) z (fma a t x))
1.0b	(fma (fma a b y) z (fma a t x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (fma (fma a b y) z (fma a t x))) (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))

series643.0ms

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt (fma (fma a b y) z (fma a t x))) (cbrt (fma (fma a b y) z (fma a t x))))
83.0ms	(fma (fma a b y) z (fma a t x))
87.0ms	(fma (fma a b y) z (fma a t x))
90.0ms	(fma (fma a b y) z (fma a t x))

simplify76.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	196	642
1	691	583
2	3148	516
3	5001	509

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
6.2b	(* (* 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))
43.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
10.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* (* a z) b)

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
45.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ (+ x (* y z)) (* t a))
4.8b	(* a (* z b))

rewrite60.0ms

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))
41.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
10.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* a (* z b))

series171.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* y z))
78.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
43.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* a (* z b))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

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

prune223.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

98.2% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.5b

bsearch94.0ms

Steps

Iters	Range		Point
10	4.3708433556359045	206990874932.61172	139.52054939017245
8	-0.6196216933291611	-0.000258756034091914	-0.3360049260045554

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample825.0ms

Algorithm

intervals

Results

431.0ms

11755×

body

valid