Details

Time bar (total: 34.2s)

sample61.0ms

Algorithm
intervals
Results
23.0ms256×pre80true
17.0ms256×body80valid

simplify287.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
287.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite603.0ms

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
448.0ms
(+ (+ (+ (+ e d) c) b) a)
116.0ms
(+ (+ (+ e d) c) b)
36.0ms
(+ (+ e d) c)

series161.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(+ (+ (+ (+ e d) c) b) a)
50.0ms
(+ (+ (+ e d) c) b)
26.0ms
(+ (+ e d) c)

simplify2.8s

Counts
29 → 63
Calls
29 calls:
Slowest
307.0ms
(+ (+ (+ (+ e d) c) b) a)
255.0ms
(+ (+ (+ (+ e d) c) b) a)
251.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))
251.0ms
(+ (+ (+ (+ e d) c) b) a)
235.0ms
(+ (+ (+ (+ e d) c) b) a)

prune650.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))))

rewrite541.0ms

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
234.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
217.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
64.0ms
(+ (+ d e) (+ (+ c a) b))
24.0ms
(+ (+ c a) b)

series231.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(+ (+ d e) (+ (+ c a) b))
75.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
54.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
18.0ms
(+ (+ c a) b)

simplify8.8s

Counts
67 → 105
Calls
67 calls:
Slowest
475.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
460.0ms
(+ (* (+ (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))))
389.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
352.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
300.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

2.7b
(exp (+ d e))
0.4b
(* (exp c) (exp a))
0.3b
(* (exp (+ d e)) (* (* (exp c) (exp a)) (exp b)))
0.3b
(* (* (exp c) (exp a)) (exp b))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×pow1 add-cbrt-cube
17×exp-prod
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
pow-prod-up add-cube-cbrt
associate-*l*
associate-*r* add-exp-log add-log-exp
insert-posit16
*-commutative
exp-sum distribute-lft-out rem-exp-log
sum-log unswap-sqr
Counts
4 → 80
Calls
4 calls:
Slowest
205.0ms
(* (exp (+ d e)) (* (* (exp c) (exp a)) (exp b)))
48.0ms
(* (* (exp c) (exp a)) (exp b))
26.0ms
(* (exp c) (exp a))
21.0ms
(exp (+ d e))

series210.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(* (exp (+ d e)) (* (* (exp c) (exp a)) (exp b)))
60.0ms
(* (* (exp c) (exp a)) (exp b))
37.0ms
(* (exp c) (exp a))
12.0ms
(exp (+ d e))

simplify4.2s

Counts
60 → 92
Calls
60 calls:
Slowest
395.0ms
(* (* (* (exp (+ d e)) (exp (+ d e))) (exp (+ d e))) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b))))
357.0ms
(* (* (* (exp (+ d e)) (exp (+ d e))) (exp (+ d e))) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b))))
352.0ms
(* (* (* (exp (+ d e)) (exp (+ d e))) (exp (+ d e))) (* (* (* (* (exp c) (exp a)) (exp b)) (* (* (exp c) (exp a)) (exp b))) (* (* (exp c) (exp a)) (exp b))))
280.0ms
(* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a)))
268.0ms
(+ (+ d e) (+ (log (* (exp c) (exp a))) b))

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
23×*-un-lft-identity
20×pow-prod-down prod-exp cbrt-unprod
14×exp-prod
11×add-sqr-sqrt
10×associate-*l* add-exp-log pow-prod-up
add-cube-cbrt
associate-*r*
*-commutative insert-posit16 add-log-exp
unswap-sqr
Counts
4 → 89
Calls
4 calls:
Slowest
441.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
176.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
40.0ms
(* (* (exp c) (exp a)) (exp b))
16.0ms
(* (exp c) (exp a))

series279.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
124.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
62.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
60.0ms
(* (* (exp c) (exp a)) (exp b))
32.0ms
(* (exp c) (exp a))

simplify8.2s

Counts
67 → 101
Calls
67 calls:
Slowest
672.0ms
(* (* (* (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)))))
626.0ms
(+ d (+ e (log (* (* (exp c) (exp a)) (exp b)))))
549.0ms
(* (* (* (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)))))
538.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (exp e)) (exp e)) (* (* (* (* (exp c) (exp a)) (exp b)) (* (* (exp c) (exp a)) (exp b))) (* (* (exp c) (exp a)) (exp b)))))
411.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (* (* (exp c) (exp a)) (exp b))) (* (exp e) (* (* (exp c) (exp a)) (exp b)))) (* (exp e) (* (* (exp c) (exp a)) (exp b)))))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
645.0ms8000×pre80true
545.0ms8000×body80valid