Details

Time bar (total: 28.5s)

sample59.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms256×pre80true

simplify227.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
227.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 2 expressions with local error:

3.0b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×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
42.0ms
(+ a (+ b (+ c d)))
22.0ms
(+ b (+ c d))

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(+ a (+ b (+ c d)))
17.0ms
(+ b (+ c d))

simplify931.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
190.0ms
(* (exp a) (exp (+ b (+ c d))))
162.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
151.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
72.0ms
(+ a (+ b (+ c d)))
56.0ms
(* (exp b) (exp (+ c d)))

prune389.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×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
61.0ms
(+ a (+ (+ b c) d))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(+ a (+ (+ b c) d))

simplify781.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
202.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
184.0ms
(* (exp a) (exp (+ (+ b c) d)))
173.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
64.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

prune231.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.6b

localize41.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite623.0ms

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/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 91
Calls
4 calls:
Slowest
391.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
88.0ms
(+ a (+ (+ b c) d))
79.0ms
(+ a (+ (+ b c) d))
63.0ms
(+ a (+ (+ b c) d))

series229.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
54.0ms
(+ a (+ (+ b c) d))
50.0ms
(+ a (+ (+ b c) d))
34.0ms
(+ a (+ (+ b c) d))

simplify16.4s

Counts
57 → 103
Calls
57 calls:
Slowest
1.2s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
871.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
793.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
702.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
680.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))

prune1.3s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 1.0b

localize74.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
1.3b
(+ (+ c d) a)
0.9b
(log (exp (+ (+ (+ c d) a) b)))

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
27×add-log-exp
21×distribute-lft-out
15×sum-log
7×log-pow
6×add-sqr-sqrt exp-prod add-cube-cbrt
5×pow1
4×log-prod add-cbrt-cube add-exp-log insert-posit16
3×+-commutative flip3-+ flip-+
2×associate-+r+
1×associate-+l+ rem-log-exp exp-sum
Counts
4 → 72
Calls
4 calls:
Slowest
291.0ms
(log (exp (+ (+ (+ c d) a) b)))
61.0ms
(+ a (+ (+ b c) d))
57.0ms
(+ a (+ (+ b c) d))
18.0ms
(+ (+ c d) a)

series151.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
50.0ms
(+ a (+ (+ b c) d))
42.0ms
(log (exp (+ (+ (+ c d) a) b)))
39.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ (+ c d) a)

simplify2.6s

Counts
39 → 84
Calls
39 calls:
Slowest
197.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
194.0ms
(log (* (cbrt (exp (+ (+ (+ c d) a) b))) (cbrt (exp (+ (+ (+ c d) a) b)))))
186.0ms
(* (exp a) (exp (+ (+ b c) d)))
183.0ms
(log (sqrt (exp (+ (+ (+ c d) a) b))))
175.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))

prune1.1s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.7b

regimes1.2s

Accuracy

0% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 2.8b

bsearch8.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
612.0ms8000×pre80true
525.0ms8000×body80valid