Details

Time bar (total: 3.3s)

sample31.0ms

Algorithm
intervals
Results
14.0ms378×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (17.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 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))
5.2b
(* (* 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-*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))
11.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(* (* a z) b)

series196.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms
(+ x (* y z))
51.0ms
(+ (+ x (* y z)) (* t a))
28.0ms
(* (* a z) b)

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0358405
11787339
25001330

prune277.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(fma (fma a b y) z (fma a t x))

simplify61.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune58.0ms

Pruning

5 alts after pruning (3 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))
5.9b
(* a (* z b))

rewrite69.0ms

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:
2.0ms
(+ x (* y z))
48.0ms
(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
11.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* a (* z b))

series196.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (* y z))
91.0ms
(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
52.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(* a (* z b))

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0354430
11662349
25001339

prune303.0ms

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))

rewrite30.0ms

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:
11.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
5.0ms
(sqrt (* (* a z) b))
6.0ms
(sqrt (* (* a z) b))

series168.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* a z) b)
29.0ms
(* (* a z) b)
58.0ms
(sqrt (* (* a z) b))
54.0ms
(sqrt (* (* a z) b))

simplify79.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0118252
1541218
22720218
35001218

prune241.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

74.6% (0.6b remaining)

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

bsearch101.0ms

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 (0.0ms)

IterNodesCost
03210
13210

end0.0ms

sample846.0ms

Algorithm
intervals
Results
444.0ms11832×body80valid