Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

400×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (17.0ms)

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

localize10.0ms

Local error

Found 1 expressions with local error:

2.0b	(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))

series98.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify69.0ms

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

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b	(* (* a z) b)

rewrite65.0ms

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:

10.0ms	(+ (+ x (* y z)) (* t a))
2.0ms	(+ x (* y z))
45.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series217.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (+ x (* y z)) (* t a))
30.0ms	(+ x (* y z))
99.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(* (* a z) b)

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (59.0ms)

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

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
5.6b	(* a (* z b))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`*-un-lft-identity` `sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt`
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` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

11.0ms	(+ (+ x (* y z)) (* t a))
2.0ms	(+ x (* y z))
44.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
7.0ms	(* a (* z b))

series230.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (+ x (* y z)) (* t a))
31.0ms	(+ x (* y z))
106.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
35.0ms	(* a (* z b))

simplify70.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	354	430
1	1662	349
2	5002	339

prune321.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (* a z) b)
6.3b	(* (* a z) b)
11.2b	(sqrt (* (* a z) b))
11.2b	(sqrt (* (* a z) b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-r*` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative`

Counts

4 → 68

Calls

4 calls:

6.0ms	(* (* a z) b)
7.0ms	(* (* a z) b)
5.0ms	(sqrt (* (* a z) b))
6.0ms	(sqrt (* (* a z) b))

series197.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* a z) b)
32.0ms	(* (* a z) b)
62.0ms	(sqrt (* (* a z) b))
68.0ms	(sqrt (* (* a z) b))

simplify95.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	118	252
1	541	218
2	2720	218
3	5001	218

prune252.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes326.0ms

Accuracy

50.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.9b

bsearch74.0ms

Steps

Iters	Range		Point
9	-8.510056983181047e+138	-2.7306038677121855e+131	-1.071371100277623e+138

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample859.0ms

Algorithm

intervals

Results

451.0ms

11862×

body

valid