Details

Time bar (total: 3.1s)

sample48.0ms

Algorithm
intervals
Results
30.0ms385×body80valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (18.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

1.5b
(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(fma (fma a b y) z (fma a t x))

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))
6.0b
(* (* a z) b)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
42.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
12.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* (* a z) b)

series177.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms
(+ x (* y z))
47.0ms
(+ (+ x (* y z)) (* t a))
26.0ms
(* (* a z) b)

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0358405
11787339
25001330

prune265.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-sqr-sqrt add-cube-cbrt fma-def
sum-log
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
+-commutative flip3-+ flip-+
associate-+l+ associate-+r+ associate-*l* *-commutative fma-udef distribute-lft-out
Counts
3 → 56
Calls
3 calls:
10.0ms
(+ (+ x (* y z)) (fma t a (* (* a z) b)))
2.0ms
(+ x (* y z))
7.0ms
(* (* a z) b)

series138.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ (+ x (* y z)) (fma t a (* (* a z) b)))
24.0ms
(+ x (* y z))
29.0ms
(* (* a z) b)

simplify40.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0272290
11168246
25001243

prune201.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

3.1b
(fma a (+ t (* z b)) (fma z y x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 a (+ t (* z b)) (fma z y x))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(fma a (+ t (* z b)) (fma z y x))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04571
19661
232559
3227159
4500159

prune44.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

92.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch96.0ms

Steps
ItersRangePoint
7
1.5556617561521648e-54
1.554484708846392e-52
8.799567967124541e-53
6
-9.672136890151637e+51
-6.632400044917705e+50
-2.5804298148702942e+51

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0298
1318
2318

end0.0ms

sample1.4s

Algorithm
intervals
Results
929.0ms11709×body80valid