Details

Time bar (total: 38.2s)

sample49.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
14.0ms256×body80valid

simplify304.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
304.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite672.0ms

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
512.0ms
(+ (+ (+ (+ e d) c) b) a)
119.0ms
(+ (+ (+ e d) c) b)
40.0ms
(+ (+ e d) c)

series143.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(+ (+ (+ (+ e d) c) b) a)
41.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

simplify3.0s

Counts
35 → 84
Calls
35 calls:
Slowest
283.0ms
(+ (+ (+ (+ e d) c) b) a)
282.0ms
(+ (+ (+ (+ e d) c) b) a)
280.0ms
(+ (+ (+ (+ e d) c) b) a)
255.0ms
(+ (+ (+ (+ e d) c) b) a)
200.0ms
(* (* (exp (+ e d)) (exp c)) (exp b))

prune923.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.2b
(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))))

rewrite684.0ms

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
300.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
280.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
81.0ms
(+ (+ d e) (+ (+ c a) b))
20.0ms
(+ (+ c a) b)

series243.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
75.0ms
(+ (+ d e) (+ (+ c a) b))
59.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
32.0ms
(+ (+ c a) b)

simplify9.2s

Counts
71 → 121
Calls
71 calls:
Slowest
471.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
471.0ms
(+ (* (+ (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))))
408.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
357.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
316.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

3.2b
(exp (+ (+ (+ b d) e) (+ c a)))
3.2b
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
0.3b
(+ (+ (+ b d) e) (+ c a))
0.2b
(+ (+ b d) e)

rewrite1.5s

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
1.0s
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
277.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
124.0ms
(+ (+ (+ b d) e) (+ c a))
28.0ms
(+ (+ b d) e)

series286.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(+ (+ (+ b d) e) (+ c a))
86.0ms
(exp (log (exp (+ (+ (+ b d) e) (+ c a)))))
73.0ms
(exp (+ (+ (+ b d) e) (+ c a)))
31.0ms
(+ (+ b d) e)

simplify9.5s

Counts
76 → 125
Calls
76 calls:
Slowest
506.0ms
(+ (* (+ (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))))
406.0ms
(+ (* (- (* (+ b d) (+ b d)) (* e e)) (+ (* c c) (- (* a a) (* c a)))) (* (- (+ b d) e) (+ (pow c 3) (pow a 3))))
375.0ms
(exp (* (cbrt (+ (+ (+ b d) e) (+ c a))) (cbrt (+ (+ (+ b d) e) (+ c a)))))
347.0ms
(+ (+ (+ b d) e) (+ c a))
287.0ms
(+ (+ (+ b d) e) (+ c a))

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.2b
(exp (+ e (+ a (+ b (+ c d)))))
0.3b
(+ a (+ b (+ c d)))
0.2b
(+ e (+ a (+ b (+ c d))))
0.2b
(+ b (+ c d))

rewrite1.0s

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
824.0ms
(exp (+ e (+ a (+ b (+ c d)))))
130.0ms
(+ e (+ a (+ b (+ c d))))
58.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series206.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(+ e (+ a (+ b (+ c d))))
53.0ms
(+ a (+ b (+ c d)))
52.0ms
(exp (+ e (+ a (+ b (+ c d)))))
28.0ms
(+ b (+ c d))

simplify4.2s

Counts
51 → 104
Calls
51 calls:
Slowest
423.0ms
(exp (* (cbrt (+ e (+ a (+ b (+ c d))))) (cbrt (+ e (+ a (+ b (+ c d)))))))
335.0ms
(+ e (+ a (+ b (+ c d))))
278.0ms
(+ e (+ a (+ b (+ c d))))
270.0ms
(exp (sqrt (+ e (+ a (+ b (+ c d))))))
265.0ms
(+ e (+ a (+ b (+ c d))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
709.0ms8000×pre80true
550.0ms8000×body80valid