Details

Time bar (total: 37.6s)

sample41.0ms

Algorithm
intervals
Results
15.0ms256×pre80true
11.0ms256×body80valid

simplify312.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
312.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite653.0ms

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
510.0ms
(+ (+ (+ (+ e d) c) b) a)
121.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

series154.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(+ (+ (+ (+ e d) c) b) a)
40.0ms
(+ (+ (+ e d) c) b)
28.0ms
(+ (+ e d) c)

simplify3.5s

Counts
35 → 84
Calls
35 calls:
Slowest
515.0ms
(* (exp (+ (+ e d) c)) (exp b))
368.0ms
(+ (+ (+ (+ e d) c) b) a)
320.0ms
(+ (+ (+ (+ e d) c) b) a)
311.0ms
(+ (+ (+ (+ e d) c) b) a)
292.0ms
(+ (+ (+ (+ e d) c) b) a)

prune898.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.1b
(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))))

rewrite681.0ms

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
316.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
255.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
86.0ms
(+ (+ d e) (+ (+ c a) b))
20.0ms
(+ (+ c a) b)

series226.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
70.0ms
(+ (+ d e) (+ (+ c a) b))
67.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
19.0ms
(+ (+ c a) b)

simplify10.2s

Counts
71 → 121
Calls
71 calls:
Slowest
525.0ms
(+ (* (+ (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))))
497.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
400.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
386.0ms
(+ (+ d e) (+ (+ c a) b))
384.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b
(exp (+ d (+ e (+ (+ c a) b))))
0.2b
(+ d (+ e (+ (+ c a) b)))
0.2b
(+ (+ c a) b)
0.1b
(+ e (+ (+ c a) b))

rewrite778.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
47×add-log-exp
30×distribute-lft-out
29×sum-log
10×fma-def
8×add-sqr-sqrt add-cube-cbrt
7×exp-prod
5×rem-exp-log
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative flip3-+ flip-+
2×associate-+r+
1×associate-+l+ exp-sum
Counts
4 → 93
Calls
4 calls:
Slowest
523.0ms
(exp (+ d (+ e (+ (+ c a) b))))
161.0ms
(+ d (+ e (+ (+ c a) b)))
56.0ms
(+ e (+ (+ c a) b))
34.0ms
(+ (+ c a) b)

series247.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(exp (+ d (+ e (+ (+ c a) b))))
84.0ms
(+ d (+ e (+ (+ c a) b)))
57.0ms
(+ e (+ (+ c a) b))
19.0ms
(+ (+ c a) b)

simplify4.4s

Counts
50 → 105
Calls
50 calls:
Slowest
374.0ms
(+ d (+ e (+ (+ c a) b)))
367.0ms
(exp (* (cbrt (+ d (+ e (+ (+ c a) b)))) (cbrt (+ d (+ e (+ (+ c a) b))))))
343.0ms
(+ d (+ e (+ (+ c a) b)))
319.0ms
(exp (sqrt (+ d (+ e (+ (+ c a) b)))))
318.0ms
(+ d (+ e (+ (+ c a) b)))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite653.0ms

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
9×add-cube-cbrt
8×associate-*r*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
4 → 97
Calls
4 calls:
Slowest
456.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
111.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
57.0ms
(* (* (exp c) (exp a)) (exp b))
27.0ms
(* (exp c) (exp a))

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
71.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
53.0ms
(* (* (exp c) (exp a)) (exp b))
25.0ms
(* (exp c) (exp a))

simplify8.2s

Counts
67 → 109
Calls
67 calls:
Slowest
552.0ms
(* (* (* (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)))))
535.0ms
(* (* (* (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)))))
528.0ms
(* (* (* (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)))))
504.0ms
(* (* (* (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)))))
368.0ms
(* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a)))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
881.0ms8000×body80valid
621.0ms8000×pre80true