Details

Time bar (total: 36.9s)

sample34.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
9.0ms256×body80valid

simplify184.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
184.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite459.0ms

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
369.0ms
(+ (+ (+ (+ e d) c) b) a)
69.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

series127.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(+ (+ (+ (+ e d) c) b) a)
37.0ms
(+ (+ (+ e d) c) b)
25.0ms
(+ (+ e d) c)

simplify2.5s

Counts
29 → 63
Calls
29 calls:
Slowest
291.0ms
(+ (+ (+ (+ e d) c) b) a)
268.0ms
(+ (+ (+ (+ e d) c) b) a)
247.0ms
(+ (+ (+ (+ e d) c) b) a)
206.0ms
(+ (+ (+ (+ e d) c) b) a)
186.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))

prune562.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ (+ d e) (+ (+ c a) b)))
0.2b
(+ (+ d e) (+ (+ c a) b))
0.1b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite573.0ms

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
247.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
216.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
90.0ms
(+ (+ d e) (+ (+ c a) b))
18.0ms
(+ (+ c a) b)

series253.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
76.0ms
(+ (+ d e) (+ (+ c a) b))
72.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
24.0ms
(+ (+ c a) b)

simplify9.3s

Counts
67 → 105
Calls
67 calls:
Slowest
676.0ms
(+ (* (+ (pow d 3) (pow e 3)) (- (+ c a) b)) (* (+ (* d d) (- (* e e) (* d e))) (- (* (+ c a) (+ c a)) (* b b))))
444.0ms
(+ (* (+ (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))))
417.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
397.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
310.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
3.4b
(exp (+ e (+ d (+ b (+ a c)))))
0.2b
(+ e (+ d (+ b (+ a c))))
0.2b
(+ d (+ b (+ a c)))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
42×add-log-exp
36×distribute-lft-out
26×sum-log
25×exp-prod
8×add-sqr-sqrt log-pow add-cube-cbrt
6×exp-sum rem-exp-log
5×pow1
4×log-prod add-cbrt-cube add-exp-log insert-posit16
2×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 83
Calls
4 calls:
Slowest
1.3s
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
438.0ms
(exp (+ e (+ d (+ b (+ a c)))))
130.0ms
(+ e (+ d (+ b (+ a c))))
29.0ms
(+ d (+ b (+ a c)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(+ e (+ d (+ b (+ a c))))
55.0ms
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
53.0ms
(exp (+ e (+ d (+ b (+ a c)))))
42.0ms
(+ d (+ b (+ a c)))

simplify6.5s

Counts
57 → 95
Calls
57 calls:
Slowest
424.0ms
(exp (* (cbrt (+ e (+ d (+ b (+ a c))))) (cbrt (+ e (+ d (+ b (+ a c)))))))
313.0ms
(exp (cbrt (+ e (+ d (+ b (+ a c))))))
312.0ms
(exp (sqrt (+ e (+ d (+ b (+ a c))))))
270.0ms
(+ e (+ d (+ b (+ a c))))
268.0ms
(exp (sqrt (+ e (+ d (+ b (+ a c))))))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
1.3b
(exp (+ a c))
0.4b
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
0.3b
(* (exp d) (* (exp b) (exp (+ a c))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
35×exp-prod *-un-lft-identity
28×pow1
18×add-cbrt-cube
16×pow-prod-up
15×pow-prod-down
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt
7×add-exp-log add-log-exp
6×associate-*l* log-pow
4×insert-posit16 distribute-lft-out
3×rem-exp-log
2×associate-*r* exp-sum *-commutative
1×log-prod sum-log
Counts
4 → 79
Calls
4 calls:
Slowest
1.3s
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
390.0ms
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
154.0ms
(* (exp d) (* (exp b) (exp (+ a c))))
20.0ms
(exp (+ a c))

series294.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
100.0ms
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
60.0ms
(* (exp d) (* (exp b) (exp (+ a c))))
20.0ms
(exp (+ a c))

simplify6.1s

Counts
59 → 91
Calls
59 calls:
Slowest
424.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (exp (+ a c)) (exp (+ a c))) (exp (+ a c))))))
404.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp (+ a c))) (* (exp b) (exp (+ a c)))) (* (exp b) (exp (+ a c))))))
345.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (* (exp b) (exp (+ a c)))) (* (exp d) (* (exp b) (exp (+ a c))))) (* (exp d) (* (exp b) (exp (+ a c))))))
287.0ms
(+ e (+ d (+ b (+ a c))))
265.0ms
(+ e (+ d (+ b (+ a c))))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
588.0ms8000×pre80true
415.0ms8000×body80valid