Details

Time bar (total: 13.3s)

sample59.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
13.0ms256×pre80true

simplify837.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31509
43519
55689
66479
76619
done6619

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
2.9b
(+ a (+ b (+ c d)))

rewrite122.0ms

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:
33.0ms
(+ b (+ c d))
86.0ms
(+ a (+ b (+ c d)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ b (+ c d))
70.0ms
(+ a (+ b (+ c d)))

simplify1.0s

Counts
48 → 48
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
060378
1181347
2863333
done5000333

prune362.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ a (+ (+ b c) d))

rewrite127.0ms

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:
126.0ms
(+ a (+ (+ b c) d))

series54.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(+ a (+ (+ b c) d))

simplify803.0ms

Counts
25 → 25
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
041223
1117210
2612196
done5001196

prune243.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b
(log1p (expm1 (+ a (+ (+ b c) d))))
0.1b
(expm1 (+ a (+ (+ b c) d)))
2.9b
(+ a (+ (+ b c) d))

rewrite132.0ms

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))))
1.0ms
(expm1 (+ a (+ (+ b c) d)))
129.0ms
(+ a (+ (+ b c) d))

series251.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
88.0ms
(expm1 (+ a (+ (+ b c) d)))
54.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
53 → 53
Iterations

Useful iterations: done (1.1s)

IterNodesCost
064501
1159458
2748414
done5000412

prune450.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(expm1 (+ a (+ (+ b c) d)))
0.6b
(cbrt (pow (expm1 (+ a (+ (+ b c) d))) 3))
0.7b
(pow (expm1 (+ a (+ (+ b c) d))) 3)
2.9b
(+ a (+ (+ b c) d))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
13×add-log-exp
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
unpow-prod-down cube-prod sum-log distribute-lft-out
pow1 add-exp-log add-cbrt-cube log1p-expm1-u
expm1-log1p-u
pow-unpow fma-def
cube-mult unpow3 sqr-pow
+-commutative pow-to-exp associate-+r+ expm1-log1p pow-pow flip3-+ pow1/3 pow-exp rem-cbrt-cube flip-+ expm1-udef rem-cube-cbrt
Counts
4 → 81
Calls
4 calls:
1.0ms
(expm1 (+ a (+ (+ b c) d)))
4.0ms
(cbrt (pow (expm1 (+ a (+ (+ b c) d))) 3))
5.0ms
(pow (expm1 (+ a (+ (+ b c) d))) 3)
128.0ms
(+ a (+ (+ b c) d))

series455.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(expm1 (+ a (+ (+ b c) d)))
88.0ms
(cbrt (pow (expm1 (+ a (+ (+ b c) d))) 3))
225.0ms
(pow (expm1 (+ a (+ (+ b c) d))) 3)
60.0ms
(+ a (+ (+ b c) d))

simplify2.7s

Counts
93 → 93
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
0981241
12771041
21679934
done5001934

prune604.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.9b

regimes2.0s

Accuracy

0% (1.0b remaining)

Error of 2.9b against oracle of 1.8b and baseline of 2.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01212
11612
done1612

end0.0ms

sample1.7s

Algorithm
intervals
Results
586.0ms8000×body80valid
380.0ms8000×pre80true