Details

Time bar (total: 4.4s)

sample54.0ms

Algorithm
intervals
Results
36.0ms378×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (17.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))
5.2b
(* (* a z) b)

rewrite66.0ms

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

series204.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms
(+ x (* y z))
49.0ms
(+ (+ x (* y z)) (* t a))
34.0ms
(* (* a z) b)

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0358405
11787339
25001330

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.6b
(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))

series101.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune61.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))
5.9b
(* a (* z b))

rewrite69.0ms

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:
44.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
2.0ms
(+ x (* y z))
11.0ms
(+ (+ x (* y z)) (* t a))
11.0ms
(* a (* z b))

series210.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
28.0ms
(+ x (* y z))
50.0ms
(+ (+ x (* y z)) (* t a))
34.0ms
(* a (* z b))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0346404
11564338
25001329

prune527.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* a z) b)
5.2b
(* (* a z) b)
13.0b
(sqrt (* (* a z) b))
13.0b
(sqrt (* (* a z) b))

rewrite27.0ms

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))

series178.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* a z) b)
31.0ms
(* (* a z) b)
56.0ms
(sqrt (* (* a z) b))
61.0ms
(sqrt (* (* a z) b))

simplify87.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0118252
1541218
22720218
35001218

prune254.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

74.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.2b

bsearch135.0ms

Steps
ItersRangePoint
7
0.0031797975273667382
0.4954286465087044
0.18959099764245008
8
-1.1133040860713562e+143
-2.6325532878102674e+138
-2.677247165253796e+138

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
13210

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s11832×body80valid