Details

Time bar (total: 2.1s)

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1534
21514
33134
44194
54254
64254

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
3.0b
(+ a (+ b (+ c d)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
2 → 42
Calls
2 calls:
17.0ms
(+ b (+ c d))
42.0ms
(+ a (+ b (+ c d)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ b (+ c d))
27.0ms
(+ a (+ b (+ c d)))

simplify92.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0180164
1707155
24320155
35001155

prune106.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 22
Calls
1 calls:
66.0ms
(+ a (+ (+ b c) d))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ a (+ (+ b c) d))

simplify70.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0117100
148492
2317492
3500292

prune67.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(log1p (expm1 (+ a (+ (+ b c) d))))
0.1b
(expm1 (+ a (+ (+ b c) d)))
3.0b
(+ a (+ (+ b c) d))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt add-cube-cbrt log1p-expm1-u
pow1 add-exp-log expm1-log1p-u fma-def add-cbrt-cube
+-commutative associate-+r+ log1p-udef expm1-log1p flip3-+ log1p-expm1 flip-+ expm1-udef
Counts
3 → 44
Calls
3 calls:
0.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
0.0ms
(expm1 (+ a (+ (+ b c) d)))
66.0ms
(+ a (+ (+ b c) d))

series117.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
41.0ms
(expm1 (+ a (+ (+ b c) d)))
27.0ms
(+ a (+ (+ b c) d))

simplify82.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0152227
1603203
24049202
35001202

prune138.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (expm1 (+ d (+ a (+ b c)))))
0.1b
(expm1 (+ d (+ a (+ b c))))
0.1b
(expm1 (log1p (expm1 (+ d (+ a (+ b c))))))
3.0b
(+ d (+ a (+ b c)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt add-cube-cbrt log1p-expm1-u
pow1 add-exp-log expm1-log1p-u add-cbrt-cube
fma-def
expm1-log1p expm1-udef
+-commutative associate-+r+ log1p-udef flip3-+ log1p-expm1 flip-+
Counts
4 → 55
Calls
4 calls:
0.0ms
(log1p (expm1 (+ d (+ a (+ b c)))))
0.0ms
(expm1 (+ d (+ a (+ b c))))
0.0ms
(expm1 (log1p (expm1 (+ d (+ a (+ b c))))))
46.0ms
(+ d (+ a (+ b c)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(log1p (expm1 (+ d (+ a (+ b c)))))
38.0ms
(expm1 (+ d (+ a (+ b c))))
67.0ms
(expm1 (log1p (expm1 (+ d (+ a (+ b c))))))
28.0ms
(+ d (+ a (+ b c)))

simplify68.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0154298
1526265
22944264
35002264

prune165.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample579.0ms

Algorithm
intervals
Results
170.0ms8000×pre80true
146.0ms8000×body80valid