Details

Time bar (total: 5.8s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1584
21784
33514
44014
54014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (+ e d) c)
0.3b
(+ (+ (+ (+ e d) c) b) a)
0.3b
(+ (+ (+ e d) c) b)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×add-log-exp
29×distribute-lft-out
19×sum-log
15×fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
3 → 72
Calls
3 calls:
8.0ms
(+ (+ e d) c)
12.0ms
(+ (+ (+ (+ e d) c) b) a)
9.0ms
(+ (+ (+ e d) c) b)

series94.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (+ e d) c)
48.0ms
(+ (+ (+ (+ e d) c) b) a)
29.0ms
(+ (+ (+ e d) c) b)

simplify29.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0249295
11063283
25002283

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ e d) (+ c b))
0.3b
(+ (+ (+ e d) (+ c b)) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
32×add-log-exp
30×distribute-lft-out
21×sum-log
11×fma-def
flip3-+ flip-+
add-sqr-sqrt add-cube-cbrt frac-add
pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ add-cbrt-cube log1p-expm1-u
associate-+r+
Counts
2 → 60
Calls
2 calls:
8.0ms
(+ (+ e d) (+ c b))
12.0ms
(+ (+ (+ e d) (+ c b)) a)

series79.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (+ e d) (+ c b))
51.0ms
(+ (+ (+ e d) (+ c b)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0363326
11444310
25001310

prune138.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ e d) c)
0.3b
(+ (+ (+ e d) c) (+ b a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-log-exp
22×distribute-lft-out
18×sum-log
fma-def
flip3-+ flip-+
add-sqr-sqrt add-cube-cbrt frac-add
pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ add-cbrt-cube log1p-expm1-u
associate-+r+
Counts
2 → 56
Calls
2 calls:
6.0ms
(+ (+ e d) c)
12.0ms
(+ (+ (+ e d) c) (+ b a))

series66.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (+ e d) c)
51.0ms
(+ (+ (+ e d) c) (+ b a))

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0320322
11566306
25002306

prune133.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (+ e d) (+ c b)))
0.2b
(+ (+ e d) (+ c b))
0.2b
(+ (+ e d) (+ c b))
0.5b
(fma (sqrt (+ (+ e d) (+ c b))) (sqrt (+ (+ e d) (+ c b))) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
28×add-log-exp
26×distribute-lft-out
16×sum-log
15×flip3-+ flip-+
12×frac-add
10×add-sqr-sqrt
fma-def
add-cube-cbrt sqrt-prod
sqrt-div
pow1
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
+-commutative associate-+l+ associate-+r+
rem-sqrt-square sqrt-pow1 pow1/2 fma-udef hypot-def
Counts
4 → 96
Calls
4 calls:
8.0ms
(sqrt (+ (+ e d) (+ c b)))
8.0ms
(+ (+ e d) (+ c b))
8.0ms
(+ (+ e d) (+ c b))
1.0ms
(fma (sqrt (+ (+ e d) (+ c b))) (sqrt (+ (+ e d) (+ c b))) a)

series3.7s

Counts
4 → 12
Calls
4 calls:
128.0ms
(sqrt (+ (+ e d) (+ c b)))
29.0ms
(+ (+ e d) (+ c b))
35.0ms
(+ (+ e d) (+ c b))
3.5s
(fma (sqrt (+ (+ e d) (+ c b))) (sqrt (+ (+ e d) (+ c b))) a)

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0414778
11551714
25001706

prune311.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes269.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample574.0ms

Algorithm
intervals
Results
200.0ms8000×pre80true
153.0ms8000×body80valid