Details

Time bar (total: 6.6s)

sample23.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify298.0ms

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: 3.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.5b
(+ a (+ b (+ c d)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×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)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ b (+ c d))
33.0ms
(+ a (+ b (+ c d)))

simplify1.5s

Counts
48 → 48
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
060378
1177347
2704333
34191333
done5000333

prune299.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b
(+ a (+ (+ b c) d))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 22
Calls
1 calls:
62.0ms
(+ a (+ (+ b c) d))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ a (+ (+ b c) d))

simplify1.2s

Counts
25 → 25
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
041223
1113210
2479196
33094196
done5000196

prune69.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.5b
(+ a (+ (+ b c) d))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
6×add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod sum-log
3×fma-def
2×pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 53
Calls
2 calls:
91.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
62.0ms
(+ a (+ (+ b c) d))

series89.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
34.0ms
(+ a (+ (+ b c) d))

simplify421.0ms

Counts
59 → 59
Iterations

Useful iterations: done (419.0ms)

IterNodesCost
086805
1215614
2816577
done5001575

prune136.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.5b
(+ a (+ (+ b c) d))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-prod
79×*-un-lft-identity
42×distribute-lft-out
39×unpow-prod-down cube-prod
16×add-sqr-sqrt add-cube-cbrt
12×add-log-exp
6×cube-div cbrt-div sum-log
4×cube-mult unpow3 sqr-pow
3×pow1 add-exp-log expm1-log1p-u fma-def flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×pow1/3 rem-cbrt-cube
1×+-commutative associate-+r+
Counts
3 → 114
Calls
3 calls:
91.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
185.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
63.0ms
(+ a (+ (+ b c) d))

series145.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
57.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
31.0ms
(+ a (+ (+ b c) d))

simplify458.0ms

Counts
123 → 123
Iterations

Useful iterations: done (454.0ms)

IterNodesCost
01342359
13141517
29471398
done50011394

prune172.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.6b

regimes471.0ms

Accuracy

0% (1.0b remaining)

Error of 2.9b against oracle of 1.9b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01618
12018
done2018

end0.0ms

sample567.0ms

Algorithm
intervals
Results
163.0ms8000×pre80true
144.0ms8000×body80valid