Details

Time bar (total: 30.8s)

sample60.0ms

Algorithm
intervals
Results
24.0ms256×pre80true
18.0ms256×body80valid

simplify247.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
246.0ms
(+ (+ (+ (+ e d) c) b) a)

prune8.0ms

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

rewrite745.0ms

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
609.0ms
(+ (+ (+ (+ e d) c) b) a)
104.0ms
(+ (+ (+ e d) c) b)
30.0ms
(+ (+ e d) c)

series116.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(+ (+ (+ (+ e d) c) b) a)
33.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

simplify3.0s

Counts
35 → 84
Calls
35 calls:
Slowest
314.0ms
(+ (+ (+ (+ e d) c) b) a)
288.0ms
(+ (+ (+ (+ e d) c) b) a)
251.0ms
(+ (+ (+ (+ e d) c) b) a)
229.0ms
(* (* (exp (+ e d)) (exp c)) (exp b))
221.0ms
(+ (+ (+ (+ e d) c) b) a)

prune948.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
51×add-log-exp
35×distribute-lft-out
33×sum-log
9×exp-prod
8×fma-def
7×rem-exp-log
6×add-sqr-sqrt flip3-+ add-cube-cbrt flip-+
4×frac-add
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×+-commutative associate-+l+
1×associate-+r+ exp-sum
Counts
3 → 84
Calls
3 calls:
Slowest
257.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
102.0ms
(+ (+ d e) (+ (+ c a) b))
29.0ms
(+ (+ c a) b)

series164.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
69.0ms
(+ (+ d e) (+ (+ c a) b))
67.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
27.0ms
(+ (+ c a) b)

simplify6.3s

Counts
54 → 93
Calls
54 calls:
Slowest
454.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
430.0ms
(+ (* (+ (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))))
346.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
335.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
309.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite865.0ms

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
616.0ms
(exp (+ d (+ e (+ (+ c a) b))))
149.0ms
(+ d (+ e (+ (+ c a) b)))
53.0ms
(+ e (+ (+ c a) b))
45.0ms
(+ (+ c a) b)

series197.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(+ d (+ e (+ (+ c a) b)))
63.0ms
(exp (+ d (+ e (+ (+ c a) b))))
40.0ms
(+ e (+ (+ c a) b))
21.0ms
(+ (+ c a) b)

simplify3.9s

Counts
50 → 105
Calls
50 calls:
Slowest
326.0ms
(exp (* (cbrt (+ d (+ e (+ (+ c a) b)))) (cbrt (+ d (+ e (+ (+ c a) b))))))
279.0ms
(exp (sqrt (+ d (+ e (+ (+ c a) b)))))
266.0ms
(+ d (+ e (+ (+ c a) b)))
261.0ms
(+ d (+ e (+ (+ c a) b)))
242.0ms
(+ d (+ e (+ (+ c a) b)))

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite585.0ms

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
384.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
138.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
41.0ms
(* (* (exp c) (exp a)) (exp b))
21.0ms
(* (exp c) (exp a))

series263.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
73.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
43.0ms
(* (* (exp c) (exp a)) (exp b))
23.0ms
(* (exp c) (exp a))

simplify7.0s

Counts
67 → 109
Calls
67 calls:
Slowest
540.0ms
(* (* (* (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)))))
470.0ms
(* (* (* (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)))))
463.0ms
(* (* (* (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)))))
462.0ms
(* (* (* (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)))))
317.0ms
(* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a)))

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
619.0ms8000×pre80true
472.0ms8000×body80valid