Details

Time bar (total: 39.6s)

sample61.0ms

Algorithm
intervals
Results
23.0ms256×pre80true
17.0ms256×body80valid

simplify285.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
285.0ms
(+ (+ (+ (+ e d) c) b) a)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

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)

rewrite722.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×add-log-exp
29×distribute-lft-out
19×sum-log
15×fma-def
6×add-sqr-sqrt add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
3 → 75
Calls
3 calls:
Slowest
562.0ms
(+ (+ (+ (+ e d) c) b) a)
132.0ms
(+ (+ (+ e d) c) b)
28.0ms
(+ (+ e d) c)

series174.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(+ (+ (+ (+ e d) c) b) a)
59.0ms
(+ (+ (+ e d) c) b)
28.0ms
(+ (+ e d) c)

simplify3.1s

Counts
35 → 84
Calls
35 calls:
Slowest
277.0ms
(+ (+ (+ (+ e d) c) b) a)
250.0ms
(+ (+ (+ (+ e d) c) b) a)
249.0ms
(+ (+ (+ (+ e d) c) b) a)
240.0ms
(+ (+ (+ (+ e d) c) b) a)
191.0ms
(* (* (exp (+ e d)) (exp c)) (exp b))

prune882.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

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))))

rewrite682.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
52×add-log-exp
50×distribute-lft-out
33×sum-log
18×exp-prod
10×log-pow
9×add-sqr-sqrt add-cube-cbrt
8×fma-def
7×rem-exp-log
6×flip3-+ flip-+
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube frac-add add-exp-log insert-posit16 log1p-expm1-u
2×+-commutative associate-+l+ exp-sum
1×associate-+r+ rem-log-exp
Counts
4 → 109
Calls
4 calls:
Slowest
283.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
252.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
116.0ms
(+ (+ d e) (+ (+ c a) b))
28.0ms
(+ (+ c a) b)

series257.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(+ (+ d e) (+ (+ c a) b))
73.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
66.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
28.0ms
(+ (+ c a) b)

simplify9.1s

Counts
71 → 121
Calls
71 calls:
Slowest
565.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
482.0ms
(+ (* (+ (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))))
429.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
396.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
336.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
33×add-log-exp
29×distribute-lft-out
25×exp-prod
19×sum-log
10×add-sqr-sqrt add-cube-cbrt
8×log-pow
6×fma-def exp-sum rem-exp-log
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 93
Calls
4 calls:
Slowest
1.5s
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
547.0ms
(exp (+ e (+ d (+ b (+ a c)))))
54.0ms
(+ d (+ b (+ a c)))
11.0ms
(+ b (+ a c))

series208.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(exp (+ e (+ d (+ b (+ a c)))))
63.0ms
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
51.0ms
(+ d (+ b (+ a c)))
28.0ms
(+ b (+ a c))

simplify5.2s

Counts
56 → 105
Calls
56 calls:
Slowest
641.0ms
(exp (sqrt (+ e (+ d (+ b (+ a c))))))
362.0ms
(exp (* (cbrt (+ e (+ d (+ b (+ a c))))) (cbrt (+ e (+ d (+ b (+ a c)))))))
302.0ms
(exp (cbrt (+ e (+ d (+ b (+ a c))))))
272.0ms
(+ e (+ d (+ b (+ a c))))
271.0ms
(exp (sqrt (+ e (+ d (+ b (+ a c))))))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
0.4b
(* (exp b) (* (exp a) (exp c)))
0.4b
(* (exp d) (* (exp b) (* (exp a) (exp c))))
0.3b
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-cbrt-cube
29×pow-prod-down
26×exp-prod
25×*-un-lft-identity
19×prod-exp cbrt-unprod
13×pow-prod-up
10×add-exp-log
9×associate-*l*
8×add-sqr-sqrt add-cube-cbrt
6×log-pow
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* *-commutative
1×log-prod exp-sum rem-exp-log
Counts
4 → 96
Calls
4 calls:
Slowest
1.2s
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
423.0ms
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))
176.0ms
(* (exp d) (* (exp b) (* (exp a) (exp c))))
45.0ms
(* (exp b) (* (exp a) (exp c)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
126.0ms
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))
63.0ms
(* (exp d) (* (exp b) (* (exp a) (exp c))))
60.0ms
(* (exp b) (* (exp a) (exp c)))

simplify8.3s

Counts
65 → 108
Calls
65 calls:
Slowest
574.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (exp c) (exp c)) (exp c))))))
535.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (* (exp a) (exp c))) (* (exp b) (* (exp a) (exp c)))) (* (exp b) (* (exp a) (exp c))))))
528.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp a) (exp c)) (* (exp a) (exp c))) (* (exp a) (exp c))))))
382.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (* (exp b) (* (exp a) (exp c)))) (* (exp d) (* (exp b) (* (exp a) (exp c))))) (* (exp d) (* (exp b) (* (exp a) (exp c))))))
343.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (exp c) (exp c)) (exp c)))))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
676.0ms8000×pre80true
478.0ms8000×body80valid