Details

Time bar (total: 29.0s)

sample48.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
14.0ms256×pre80true

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
243.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize26.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite78.0ms

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
55.0ms
(+ a (+ b (+ c d)))
22.0ms
(+ b (+ c d))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(+ a (+ b (+ c d)))
26.0ms
(+ b (+ c d))

simplify953.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
223.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
202.0ms
(* (exp a) (exp (+ b (+ c d))))
139.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
77.0ms
(+ a (+ b (+ c d)))
57.0ms
(* (exp b) (* (exp c) (exp d)))

prune410.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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
65.0ms
(+ a (+ (+ b c) d))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(+ a (+ (+ b c) d))

simplify863.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
280.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
184.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
174.0ms
(* (exp a) (exp (+ (+ b c) d)))
63.0ms
(+ a (+ (+ b c) d))
59.0ms
(+ a (+ (+ b c) d))

prune235.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

localize39.0ms

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))))

rewrite592.0ms

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
403.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
71.0ms
(+ a (+ (+ b c) d))
61.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ a (+ (+ b c) d))

series197.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
52.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))
36.0ms
(+ a (+ (+ b c) d))

simplify16.8s

Counts
57 → 103
Calls
57 calls:
Slowest
947.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ a (+ (+ b c) d))))
940.0ms
(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))))
854.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
798.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
773.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.9b

localize54.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
1.1b
(+ d (+ a b))
0.9b
(log (exp (+ (+ d (+ a b)) c)))

rewrite369.0ms

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 associate-+r+ flip3-+ flip-+
1×rem-log-exp exp-sum
Counts
4 → 72
Calls
4 calls:
Slowest
258.0ms
(log (exp (+ (+ d (+ a b)) c)))
58.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))
11.0ms
(+ d (+ a b))

series169.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
54.0ms
(+ a (+ (+ b c) d))
53.0ms
(log (exp (+ (+ d (+ a b)) c)))
35.0ms
(+ a (+ (+ b c) d))
27.0ms
(+ d (+ a b))

simplify2.7s

Counts
39 → 84
Calls
39 calls:
Slowest
244.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
199.0ms
(log (* (cbrt (exp (+ (+ d (+ a b)) c))) (cbrt (exp (+ (+ d (+ a b)) c)))))
196.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
191.0ms
(log (sqrt (exp (+ (+ d (+ a b)) c))))
183.0ms
(* (exp a) (exp (+ (+ b c) d)))

prune1.1s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.6b

regimes1.3s

Accuracy

0% (1.9b remaining)

Error of 2.6b against oracle of 0.7b and baseline of 2.6b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
523.0ms8000×pre80true
510.0ms8000×body80valid