Details

Time bar (total: 11.7s)

sample59.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms256×pre80true

simplify536.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31509
42959
53669
63689
done3689

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.7b
(+ a (+ b (+ c d)))

rewrite91.0ms

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))
73.0ms
(+ a (+ b (+ c d)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ b (+ c d))
44.0ms
(+ a (+ b (+ c d)))

simplify2.5s

Counts
48 → 48
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
060378
1177347
2704333
34191333
done5000333

prune148.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite83.0ms

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:
82.0ms
(+ a (+ (+ b c) d))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+ a (+ (+ b c) d))

simplify1.7s

Counts
25 → 25
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
041223
1113210
2479196
33094196
done5000196

prune74.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (+ a (+ (+ b c) d))))
0.1b
(expm1 (+ a (+ (+ b c) d)))
2.7b
(+ a (+ (+ b c) d))

rewrite110.0ms

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)))
108.0ms
(+ a (+ (+ b c) d))

series181.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
51.0ms
(expm1 (+ a (+ (+ b c) d)))
37.0ms
(+ a (+ (+ b c) d))

simplify2.0s

Counts
53 → 53
Iterations

Useful iterations: 3 (834.0ms)

IterNodesCost
064501
1148458
2573414
33898412
done5000412

prune144.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.9b

localize16.0ms

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)
2.7b
(+ a (+ (+ b c) d))

rewrite97.0ms

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:
0.0ms
(expm1 (+ a (+ (+ b c) d)))
3.0ms
(cbrt (pow (expm1 (+ a (+ (+ b c) d))) 3))
4.0ms
(pow (expm1 (+ a (+ (+ b c) d))) 3)
87.0ms
(+ a (+ (+ b c) d))

series285.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(expm1 (+ a (+ (+ b c) d)))
47.0ms
(cbrt (pow (expm1 (+ a (+ (+ b c) d))) 3))
147.0ms
(pow (expm1 (+ a (+ (+ b c) d))) 3)
41.0ms
(+ a (+ (+ b c) d))

simplify677.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
0981241
12241041
2804934
done5000934

prune316.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 1.8b

regimes1.0s

Accuracy

0% (0.9b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01111
11511
done1511

end0.0ms

sample1.6s

Algorithm
intervals
Results
354.0ms8000×body80valid
315.0ms8000×pre80true