Details

Time bar (total: 30.9s)

sample32.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
9.0ms256×body80valid

simplify523.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
523.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite605.0ms

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
472.0ms
(+ (+ (+ (+ e d) c) b) a)
104.0ms
(+ (+ (+ e d) c) b)
27.0ms
(+ (+ e d) c)

series113.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
60.0ms
(+ (+ (+ (+ e d) c) b) a)
36.0ms
(+ (+ (+ e d) c) b)
16.0ms
(+ (+ e d) c)

simplify2.5s

Counts
35 → 84
Calls
35 calls:
Slowest
261.0ms
(+ (+ (+ (+ e d) c) b) a)
216.0ms
(+ (+ (+ (+ e d) c) b) a)
207.0ms
(+ (+ (+ (+ e d) c) b) a)
194.0ms
(* (exp (+ (+ (+ e d) c) b)) (exp a))
190.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))

prune721.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.1b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite565.0ms

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
260.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
198.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
73.0ms
(+ (+ d e) (+ (+ c a) b))
32.0ms
(+ (+ c a) b)

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(+ (+ d e) (+ (+ c a) b))
81.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
79.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
19.0ms
(+ (+ c a) b)

simplify8.0s

Counts
71 → 121
Calls
71 calls:
Slowest
468.0ms
(+ (* (+ (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))))
370.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
333.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
296.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
274.0ms
(+ (* (+ (pow d 3) (pow e 3)) (- (+ c a) b)) (* (+ (* d d) (- (* e e) (* d e))) (- (* (+ c a) (+ c a)) (* b b))))

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ e (+ a (+ b (+ c d)))))
0.2b
(+ a (+ b (+ c d)))
0.2b
(+ e (+ a (+ b (+ c d))))
0.2b
(+ b (+ c d))

rewrite691.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
47×add-log-exp
29×sum-log distribute-lft-out
9×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 associate-+r+ flip3-+ flip-+
1×exp-sum
Counts
4 → 92
Calls
4 calls:
Slowest
493.0ms
(exp (+ e (+ a (+ b (+ c d)))))
124.0ms
(+ e (+ a (+ b (+ c d))))
54.0ms
(+ a (+ b (+ c d)))
17.0ms
(+ b (+ c d))

series204.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(+ e (+ a (+ b (+ c d))))
72.0ms
(exp (+ e (+ a (+ b (+ c d)))))
40.0ms
(+ a (+ b (+ c d)))
18.0ms
(+ b (+ c d))

simplify3.8s

Counts
51 → 104
Calls
51 calls:
Slowest
375.0ms
(exp (* (cbrt (+ e (+ a (+ b (+ c d))))) (cbrt (+ e (+ a (+ b (+ c d)))))))
295.0ms
(+ e (+ a (+ b (+ c d))))
294.0ms
(+ e (+ a (+ b (+ c d))))
274.0ms
(+ e (+ a (+ b (+ c d))))
264.0ms
(exp (sqrt (+ e (+ a (+ b (+ c d))))))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite460.0ms

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
12×associate-*l*
11×add-sqr-sqrt
10×add-exp-log pow-prod-up
9×add-cube-cbrt
6×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
304.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
96.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
41.0ms
(* (exp b) (* (exp c) (exp d)))
17.0ms
(* (exp c) (exp d))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
56.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
46.0ms
(* (exp b) (* (exp c) (exp d)))
24.0ms
(* (exp c) (exp d))

simplify6.4s

Counts
66 → 109
Calls
66 calls:
Slowest
446.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (* (exp c) (exp d))) (* (exp b) (* (exp c) (exp d)))) (* (exp b) (* (exp c) (exp d))))))
423.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp d)) (* (exp c) (exp d))) (* (exp c) (exp d))))))
420.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d))))))
345.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (* (exp c) (exp d))))) (* (exp a) (* (exp b) (* (exp c) (exp d))))))
275.0ms
(* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d)))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
929.0ms8000×pre80true
403.0ms8000×body80valid