Details

Time bar (total: 12.0s)

sample61.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
20.0ms256×body80valid

simplify230.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
2 → 34
Calls
2 calls:
Slowest
54.0ms
(+ a (+ b (+ c d)))
25.0ms
(+ b (+ c d))

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(+ a (+ b (+ c d)))
31.0ms
(+ b (+ c d))

simplify921.0ms

Counts
40 → 40

prune519.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 18
Calls
1 calls:
Slowest
52.0ms
(+ a (+ (+ b c) d))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
35.0ms
(+ a (+ (+ b c) d))

simplify1.3s

Counts
21 → 21

prune285.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.0b

localize51.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
associate-*r/
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
+-commutative associate-+r+
cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 91
Calls
4 calls:
Slowest
314.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
81.0ms
(+ a (+ (+ b c) d))
61.0ms
(+ a (+ (+ b c) d))
57.0ms
(+ a (+ (+ b c) d))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
55.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))

simplify604.0ms

Counts
103 → 103

prune1.4s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.4b

localize58.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ (+ b (+ c a)) d)
0.9b
(log (exp (+ (+ b (+ c a)) d)))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
31×add-log-exp
24×distribute-lft-out
18×sum-log
log-pow
add-sqr-sqrt exp-prod add-cube-cbrt
pow1
log-prod add-cbrt-cube add-exp-log insert-posit16
+-commutative flip3-+ flip-+
associate-+r+
associate-+l+ rem-log-exp exp-sum
Counts
4 → 74
Calls
4 calls:
Slowest
187.0ms
(log (exp (+ (+ b (+ c a)) d)))
75.0ms
(+ (+ b (+ c a)) d)
56.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ a (+ (+ b c) d))

series168.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
45.0ms
(log (exp (+ (+ b (+ c a)) d)))
44.0ms
(+ a (+ (+ b c) d))
42.0ms
(+ (+ b (+ c a)) d)
37.0ms
(+ a (+ (+ b c) d))

simplify1.4s

Counts
86 → 86

prune1.0s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 1.1b

regimes1.4s

Accuracy

0% (1.6b remaining)

Error of 2.9b against oracle of 1.3b and baseline of 2.9b

bsearch5.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
441.0ms8000×pre80true
437.0ms8000×body80valid