Details

Time bar (total: 38.6s)

sample50.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
15.0ms256×pre80true

simplify245.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
245.0ms
(+ (+ (+ (+ e d) c) b) a)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

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)

rewrite746.0ms

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
563.0ms
(+ (+ (+ (+ e d) c) b) a)
159.0ms
(+ (+ (+ e d) c) b)
23.0ms
(+ (+ e d) c)

series130.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(+ (+ (+ (+ e d) c) b) a)
47.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

simplify2.9s

Counts
35 → 84
Calls
35 calls:
Slowest
299.0ms
(+ (+ (+ (+ e d) c) b) a)
284.0ms
(+ (+ (+ (+ e d) c) b) a)
263.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))
257.0ms
(+ (+ (+ (+ e d) c) b) a)
229.0ms
(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune824.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.2b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite660.0ms

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
287.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
268.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
77.0ms
(+ (+ d e) (+ (+ c a) b))
24.0ms
(+ (+ c a) b)

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
98.0ms
(+ (+ d e) (+ (+ c a) b))
92.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
59.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
17.0ms
(+ (+ c a) b)

simplify9.4s

Counts
71 → 121
Calls
71 calls:
Slowest
626.0ms
(exp (sqrt (+ (+ d e) (+ (+ c a) b))))
543.0ms
(+ (* (+ (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))))
463.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
377.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
375.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ (+ (+ b d) e) (+ c a)))
3.4b
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
0.2b
(+ (+ (+ b d) e) (+ c a))
0.1b
(+ (+ b d) e)

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
52×distribute-lft-out add-log-exp
33×sum-log
31×exp-prod
10×add-sqr-sqrt log-pow add-cube-cbrt
9×fma-def
8×rem-exp-log
6×flip3-+ exp-sum 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+
1×associate-+r+
Counts
4 → 113
Calls
4 calls:
Slowest
929.0ms
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
370.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
112.0ms
(+ (+ (+ b d) e) (+ c a))
27.0ms
(+ (+ b d) e)

series215.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(+ (+ (+ b d) e) (+ c a))
58.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
49.0ms
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
28.0ms
(+ (+ b d) e)

simplify10.1s

Counts
76 → 125
Calls
76 calls:
Slowest
656.0ms
(+ (* (+ (pow (+ b d) 3) (pow e 3)) (+ (* c c) (- (* a a) (* c a)))) (* (+ (* (+ b d) (+ b d)) (- (* e e) (* (+ b d) e))) (+ (pow c 3) (pow a 3))))
524.0ms
(+ (* (- (* (+ b d) (+ b d)) (* e e)) (+ (* c c) (- (* a a) (* c a)))) (* (- (+ b d) e) (+ (pow c 3) (pow a 3))))
381.0ms
(exp (* (cbrt (+ (+ (+ b d) e) (+ c a))) (cbrt (+ (+ (+ b d) e) (+ c a)))))
313.0ms
(+ (* (+ (pow (+ b d) 3) (pow e 3)) (- c a)) (* (+ (* (+ b d) (+ b d)) (- (* e e) (* (+ b d) e))) (- (* c c) (* a a))))
313.0ms
(+ (+ (+ b d) e) (+ c a))

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ e (+ a (+ b (+ c d)))))
0.3b
(+ e (+ a (+ b (+ c d))))
0.2b
(+ a (+ b (+ c d)))
0.2b
(+ b (+ c d))

rewrite643.0ms

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
458.0ms
(exp (+ e (+ a (+ b (+ c d)))))
127.0ms
(+ e (+ a (+ b (+ c d))))
44.0ms
(+ a (+ b (+ c d)))
12.0ms
(+ b (+ c d))

series214.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(+ e (+ a (+ b (+ c d))))
64.0ms
(exp (+ e (+ a (+ b (+ c d)))))
46.0ms
(+ a (+ b (+ c d)))
17.0ms
(+ b (+ c d))

simplify4.1s

Counts
51 → 104
Calls
51 calls:
Slowest
373.0ms
(exp (* (cbrt (+ e (+ a (+ b (+ c d))))) (cbrt (+ e (+ a (+ b (+ c d)))))))
307.0ms
(+ e (+ a (+ b (+ c d))))
287.0ms
(exp (sqrt (+ e (+ a (+ b (+ c d))))))
287.0ms
(+ e (+ a (+ b (+ c d))))
282.0ms
(+ e (+ a (+ b (+ c d))))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes285.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
911.0ms8000×body80valid
659.0ms8000×pre80true