Details

Time bar (total: 4.2s)

sample52.0ms

Algorithm
intervals
Results
34.0ms341×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (21.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

3.1b
(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:
1.0ms
(fma (fma a b y) z (fma a t x))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(fma (fma a b y) z (fma a t x))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))
6.6b
(* (* a z) b)

rewrite71.0ms

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:
47.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
12.0ms
(+ (+ x (* y z)) (* t a))
8.0ms
(* (* a z) b)

series203.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms
(+ x (* y z))
50.0ms
(+ (+ x (* y z)) (* t a))
33.0ms
(* (* a z) b)

simplify65.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0358405
11787339
25001330

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
0.0b
(+ (+ x (* y z)) (* t a))
3.7b
(* a (* z b))

rewrite76.0ms

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:
3.0ms
(+ x (* y z))
53.0ms
(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
12.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(* a (* z b))

series204.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (* y z))
95.0ms
(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
54.0ms
(+ (+ x (* y z)) (* t a))
29.0ms
(* a (* z b))

simplify62.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0354430
11662349
25001339

prune311.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (* a z) b)
6.6b
(* (* a z) b)
13.7b
(sqrt (* (* a z) b))
13.7b
(sqrt (* (* a z) b))

rewrite29.0ms

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

series173.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* a z) b)
28.0ms
(* (* a z) b)
58.0ms
(sqrt (* (* a z) b))
59.0ms
(sqrt (* (* a z) b))

simplify88.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0118258
1541224
22720218
35001218

prune254.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

96.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.8b

bsearch124.0ms

Steps
ItersRangePoint
6
2.035191707889028e-21
2.345055082250583e-20
1.3083682113504501e-20
9
-2.268229742584644e-53
-7.650473715522468e-63
-5.668929880450115e-54

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03611
13611

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s11648×body80valid