Details

Time bar (total: 2.8s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
5.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1534
21514
33134
44194
54254
64254
done4254

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))
2.8b
(+ a (+ b (+ c d)))

rewrite66.0ms

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:
16.0ms
(+ b (+ c d))
48.0ms
(+ a (+ b (+ c d)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ b (+ c d))
36.0ms
(+ a (+ b (+ c d)))

simplify85.0ms

Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0180164
1707155
24320155
35001155
done5001155

prune103.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b
(+ a (+ (+ b c) d))

rewrite67.0ms

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:
67.0ms
(+ a (+ (+ b c) d))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(+ a (+ (+ b c) d))

simplify67.0ms

Counts
25 → 25
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0117100
148492
2317492
3500292
done500292

prune65.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b
(+ a (+ (+ b c) d))

rewrite168.0ms

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:
99.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
66.0ms
(+ a (+ (+ b c) d))

series88.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
34.0ms
(+ a (+ (+ b c) d))

simplify31.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0219293
1921289
25002287
done5002287

prune126.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.0b

localize15.0ms

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))
2.8b
(+ a (+ (+ b c) d))

rewrite372.0ms

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:
100.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
199.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
67.0ms
(+ a (+ (+ b c) d))

series144.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
58.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
32.0ms
(+ a (+ (+ b c) d))

simplify35.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0353726
11058719
25002715
done5002715

prune146.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.0b

regimes476.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12010
done2010

end0.0ms

sample609.0ms

Algorithm
intervals
Results
176.0ms8000×pre80true
153.0ms8000×body80valid