Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

385×

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

prune14.0ms

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))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.5b	(* (* a z) b)

rewrite143.0ms

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:

23.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(+ x (* y z))
94.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
18.0ms	(* (* a z) b)

series169.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ x (* y z)) (* t a))
22.0ms	(+ x (* y z))
78.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(* (* 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	5002	330

prune394.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(fma t a (* (* a z) b))
0.0b	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
4.5b	(* (* a z) b)

rewrite50.0ms

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:

6.0ms	(+ x (* y z))
0.0ms	(fma t a (* (* a z) b))
26.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
17.0ms	(* (* a z) b)

series187.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y z))
53.0ms	(fma t a (* (* a z) b))
83.0ms	(+ (+ x (* y z)) (fma t a (* (* a z) b)))
24.0ms	(* (* a z) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

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

prune565.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
104.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
35.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt b)
173.0ms	(cbrt b)
41.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	264	571
1	1326	416
2	5002	367

prune434.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)))
1.9b	(* (fma b z t) a)

rewrite17.0ms

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:

0.0ms	(fma z y (* (fma b z t) a))
9.0ms	(+ x (fma z y (* (fma b z t) a)))
7.0ms	(* (fma b z t) a)

series178.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma z y (* (fma b z t) a))
84.0ms	(+ x (fma z y (* (fma b z t) a)))
42.0ms	(* (fma b z t) a)

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (73.0ms)

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

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

89.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.1b

bsearch111.0ms

Steps

Iters	Range		Point
7	5.296233345725543e+67	2.163319157250536e+69	3.5151300641898294e+68
8	-1.083335415915672e+47	-8.542910157312973e+43	-5.3468783607389116e+45

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	7
1	24	7

end0.0ms

sample900.0ms

Algorithm

intervals

Results

492.0ms

11889×

body

valid