Details

Time bar (total: 36.1s)

sample45.0ms

Algorithm
intervals
Results
17.0ms256×pre80true
13.0ms256×body80valid

simplify205.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
205.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ e d) c) b)
0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ (+ e d) c) b) a)

rewrite602.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
3 → 54
Calls
3 calls:
Slowest
470.0ms
(+ (+ (+ (+ e d) c) b) a)
108.0ms
(+ (+ (+ e d) c) b)
22.0ms
(+ (+ e d) c)

series136.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
71.0ms
(+ (+ (+ (+ e d) c) b) a)
38.0ms
(+ (+ (+ e d) c) b)
27.0ms
(+ (+ e d) c)

simplify2.7s

Counts
29 → 63
Calls
29 calls:
Slowest
304.0ms
(+ (+ (+ (+ e d) c) b) a)
263.0ms
(+ (+ (+ (+ e d) c) b) a)
234.0ms
(+ (+ (+ (+ e d) c) b) a)
233.0ms
(+ (+ (+ (+ e d) c) b) a)
204.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))

prune625.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.2b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite628.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
52×add-log-exp
48×distribute-lft-out
33×sum-log
18×exp-prod
10×log-pow
7×add-sqr-sqrt add-cube-cbrt rem-exp-log
6×flip3-+ flip-+
5×pow1
4×log-prod add-cbrt-cube frac-add add-exp-log insert-posit16
2×+-commutative associate-+l+ exp-sum
1×associate-+r+ rem-log-exp
Counts
4 → 93
Calls
4 calls:
Slowest
283.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
261.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
65.0ms
(+ (+ d e) (+ (+ c a) b))
17.0ms
(+ (+ c a) b)

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(+ (+ d e) (+ (+ c a) b))
59.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
56.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
24.0ms
(+ (+ c a) b)

simplify9.2s

Counts
67 → 105
Calls
67 calls:
Slowest
776.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
513.0ms
(+ (* (+ (pow d 3) (pow e 3)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow (+ c a) 3) (pow b 3))))
392.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
354.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
317.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (+ (+ (+ b d) e) (+ c a)))
3.3b
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
0.2b
(+ (+ (+ b d) e) (+ c a))
0.1b
(+ (+ b d) e)

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
52×add-log-exp
48×distribute-lft-out
33×sum-log
31×exp-prod
10×log-pow
8×add-sqr-sqrt add-cube-cbrt rem-exp-log
6×flip3-+ exp-sum flip-+
5×pow1
4×log-prod add-cbrt-cube frac-add add-exp-log insert-posit16
2×+-commutative associate-+l+
1×associate-+r+
Counts
4 → 96
Calls
4 calls:
Slowest
880.0ms
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
269.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
115.0ms
(+ (+ (+ b d) e) (+ c a))
20.0ms
(+ (+ b d) e)

series233.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(+ (+ (+ b d) e) (+ c a))
76.0ms
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
61.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
19.0ms
(+ (+ b d) e)

simplify8.7s

Counts
72 → 108
Calls
72 calls:
Slowest
439.0ms
(+ (* (+ (pow (+ b d) 3) (pow e 3)) (+ (* c c) (- (* a a) (* c a)))) (* (+ (* (+ b d) (+ b d)) (- (* e e) (* (+ b d) e))) (+ (pow c 3) (pow a 3))))
386.0ms
(* (+ (* (+ b d) (+ b d)) (- (* e e) (* (+ b d) e))) (- c a))
362.0ms
(+ (* (- (* (+ b d) (+ b d)) (* e e)) (+ (* c c) (- (* a a) (* c a)))) (* (- (+ b d) e) (+ (pow c 3) (pow a 3))))
346.0ms
(exp (* (cbrt (+ (+ (+ b d) e) (+ c a))) (cbrt (+ (+ (+ b d) e) (+ c a)))))
328.0ms
(+ (+ (+ b d) e) (+ c a))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.2b
(exp (+ (+ b d) (+ e c)))
0.2b
(+ (+ b d) (+ e c))
0.2b
(+ (log (exp (+ (+ b d) (+ e c)))) a)
0.0b
(log (exp (+ (+ b d) (+ e c))))

rewrite821.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
30×add-log-exp
26×distribute-lft-out
17×sum-log
14×exp-prod
9×log-pow
8×add-sqr-sqrt log-prod add-cube-cbrt
6×pow1 flip3-+ flip-+
5×associate-+l+ rem-exp-log
4×add-cbrt-cube frac-add add-exp-log insert-posit16
3×exp-sum
2×+-commutative
1×associate-+r+ rem-log-exp
Counts
4 → 85
Calls
4 calls:
Slowest
553.0ms
(+ (log (exp (+ (+ b d) (+ e c)))) a)
113.0ms
(log (exp (+ (+ b d) (+ e c))))
104.0ms
(exp (+ (+ b d) (+ e c)))
49.0ms
(+ (+ b d) (+ e c))

series208.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(+ (log (exp (+ (+ b d) (+ e c)))) a)
57.0ms
(log (exp (+ (+ b d) (+ e c))))
44.0ms
(+ (+ b d) (+ e c))
43.0ms
(exp (+ (+ b d) (+ e c)))

simplify4.3s

Counts
60 → 97
Calls
60 calls:
Slowest
294.0ms
(+ (* (+ (pow b 3) (pow d 3)) (+ (* e e) (- (* c c) (* e c)))) (* (+ (* b b) (- (* d d) (* b d))) (+ (pow e 3) (pow c 3))))
278.0ms
(+ (* (- (* b b) (* d d)) (+ (* e e) (- (* c c) (* e c)))) (* (- b d) (+ (pow e 3) (pow c 3))))
244.0ms
(+ (log (exp (+ (+ b d) (+ e c)))) a)
217.0ms
(* (- b d) (+ (* e e) (- (* c c) (* e c))))
213.0ms
(+ (log (exp (+ (+ b d) (+ e c)))) a)

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes308.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch4.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
967.0ms8000×body80valid
620.0ms8000×pre80true