Details

Time bar (total: 44.7s)

sample42.0ms

Algorithm
intervals
Results
13.0ms256×pre80true
9.0ms256×body80valid

simplify324.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
324.0ms
(+ (+ (+ (+ e d) c) b) a)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite566.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
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
426.0ms
(+ (+ (+ (+ e d) c) b) a)
122.0ms
(+ (+ (+ e d) c) b)
17.0ms
(+ (+ e d) c)

series153.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(+ (+ (+ (+ e d) c) b) a)
43.0ms
(+ (+ (+ e d) c) b)
16.0ms
(+ (+ e d) c)

simplify9.5s

Counts
66 → 63
Calls
66 calls:
Slowest
920.0ms
(+ (pow (+ (+ e d) c) 3) (pow b 3))
628.0ms
(- (+ (+ (+ e d) c) b) a)
395.0ms
(* (cbrt (+ (+ (+ (+ e d) c) b) a)) (cbrt (+ (+ (+ (+ e d) c) b) a)))
388.0ms
(* (* (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ (+ e d) c) b) a)) (+ (+ (+ (+ e d) c) b) a))
385.0ms
(log (+ (+ (+ (+ e d) c) b) a))

prune607.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite655.0ms

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
add-sqr-sqrt add-cube-cbrt rem-exp-log
flip3-+ flip-+
pow1
log-prod add-cbrt-cube frac-add add-exp-log insert-posit16
+-commutative associate-+l+ exp-sum
associate-+r+ rem-log-exp
Counts
4 → 93
Calls
4 calls:
Slowest
257.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
255.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
109.0ms
(+ (+ d e) (+ (+ c a) b))
32.0ms
(+ (+ c a) b)

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
97.0ms
(+ (+ d e) (+ (+ c a) b))
97.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
66.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
28.0ms
(+ (+ c a) b)

simplify15.2s

Counts
108 → 105
Calls
108 calls:
Slowest
539.0ms
(* (* (+ (+ d e) (+ (+ c a) b)) (+ (+ d e) (+ (+ c a) b))) (+ (+ d e) (+ (+ c a) b)))
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))))
489.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
414.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
355.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (exp c) (exp a))
0.4b
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
0.4b
(* (* (exp c) (exp a)) (exp b))
0.3b
(* (exp d) (exp e))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
21×*-un-lft-identity
20×pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
12×exp-prod add-exp-log
10×associate-*r*
add-cube-cbrt
associate-*l* pow-prod-up
*-commutative insert-posit16 add-log-exp
unswap-sqr
Counts
4 → 90
Calls
4 calls:
Slowest
167.0ms
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
73.0ms
(* (* (exp c) (exp a)) (exp b))
27.0ms
(* (exp d) (exp e))
13.0ms
(* (exp c) (exp a))

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
48.0ms
(* (* (exp c) (exp a)) (exp b))
24.0ms
(* (exp c) (exp a))
20.0ms
(* (exp d) (exp e))

simplify12.4s

Counts
100 → 102
Calls
100 calls:
Slowest
930.0ms
(* (* (* (* (exp d) (exp d)) (exp d)) (* (* (exp e) (exp e)) (exp e))) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b))))
594.0ms
(* (* (* (* (exp d) (exp e)) (* (exp d) (exp e))) (* (exp d) (exp e))) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b))))
558.0ms
(* (* (* (* (exp d) (exp d)) (exp d)) (* (* (exp e) (exp e)) (exp e))) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b))))
532.0ms
(* (* (* (* (exp d) (exp e)) (* (exp d) (exp e))) (* (exp d) (exp e))) (* (* (* (* (exp c) (exp a)) (exp b)) (* (* (exp c) (exp a)) (exp b))) (* (* (exp c) (exp a)) (exp b))))
505.0ms
(* (* (* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b))) (* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))) (* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
652.0ms8000×pre80true
507.0ms8000×body80valid