Details

Time bar (total: 1.3m)

sample58.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
16.0ms256×body80valid

simplify324.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
324.0ms
(+ (+ (+ (+ e d) c) b) a)

prune11.0ms

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

rewrite678.0ms

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
505.0ms
(+ (+ (+ (+ e d) c) b) a)
131.0ms
(+ (+ (+ e d) c) b)
40.0ms
(+ (+ e d) c)

series157.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(+ (+ (+ (+ e d) c) b) a)
54.0ms
(+ (+ (+ e d) c) b)
27.0ms
(+ (+ e d) c)

simplify9.4s

Counts
72 → 84
Calls
72 calls:
Slowest
379.0ms
(sqrt (+ (+ (+ (+ e d) c) b) a))
364.0ms
(+ (+ (+ (+ e d) c) b) a)
353.0ms
(expm1 (+ (+ (+ (+ e d) c) b) a))
347.0ms
(- (+ (+ (+ e d) c) b) a)
340.0ms
(+ (+ (+ (+ e d) c) b) a)

prune939.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 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))))

rewrite688.0ms

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
276.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
253.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
116.0ms
(+ (+ d e) (+ (+ c a) b))
42.0ms
(+ (+ c a) b)

series232.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(+ (+ d e) (+ (+ c a) b))
75.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
58.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
17.0ms
(+ (+ c a) b)

simplify15.9s

Counts
116 → 121
Calls
116 calls:
Slowest
523.0ms
(log (exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b))))))
521.0ms
(+ (* (+ (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))))
505.0ms
(* (* (+ (+ d e) (+ (+ c a) b)) (+ (+ d e) (+ (+ c a) b))) (+ (+ d e) (+ (+ c a) b)))
468.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
412.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
21×*-un-lft-identity
20×pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
12×exp-prod add-exp-log
10×associate-*r*
9×add-cube-cbrt
8×associate-*l* pow-prod-up
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 98
Calls
4 calls:
Slowest
139.0ms
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
47.0ms
(* (* (exp c) (exp a)) (exp b))
21.0ms
(* (exp d) (exp e))
19.0ms
(* (exp c) (exp a))

series189.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
111.0ms
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
36.0ms
(* (* (exp c) (exp a)) (exp b))
21.0ms
(* (exp d) (exp e))
21.0ms
(* (exp c) (exp a))

simplify10.4s

Counts
108 → 110
Calls
108 calls:
Slowest
468.0ms
(* (* (* (* (exp d) (exp e)) (* (exp d) (exp e))) (* (exp d) (exp e))) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b))))
415.0ms
(* (* (* (* (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))))
400.0ms
(* (* (* (* (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))))
396.0ms
(* (* (* (* (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))))
371.0ms
(* (* (* (* (exp d) (exp e)) (* (exp d) (exp e))) (* (exp d) (exp e))) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b))))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
136×pow1
96×pow-prod-down
89×add-cbrt-cube
69×add-exp-log
64×prod-exp cbrt-unprod
44×sqrt-pow1
42×*-un-lft-identity
30×exp-prod
28×add-sqr-sqrt pow-prod-up
20×pow1/2 sqrt-prod
14×associate-*r* associate-*l*
12×add-cube-cbrt
8×pow-sqr unswap-sqr
7×sqrt-unprod
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 rem-square-sqrt swap-sqr
Counts
4 → 178
Calls
4 calls:
Slowest
414.0ms
(* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b)))
93.0ms
(* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e))))
34.0ms
(* (sqrt (exp d)) (sqrt (exp e)))
21.0ms
(* (sqrt (exp d)) (sqrt (exp e)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
98.0ms
(* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b)))
52.0ms
(* (sqrt (exp d)) (sqrt (exp e)))
39.0ms
(* (sqrt (exp d)) (sqrt (exp e)))
21.0ms
(* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e))))

simplify28.6s

Counts
193 → 190
Calls
193 calls:
Slowest
808.0ms
(* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b)))
742.0ms
(* (* (* (* (* (sqrt (exp d)) (sqrt (exp d))) (sqrt (exp d))) (* (* (sqrt (exp e)) (sqrt (exp e))) (sqrt (exp e)))) (* (* (* (sqrt (exp d)) (sqrt (exp d))) (sqrt (exp d))) (* (* (sqrt (exp e)) (sqrt (exp e))) (sqrt (exp e))))) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b))))
722.0ms
(* (* (* (* (* (sqrt (exp d)) (sqrt (exp d))) (sqrt (exp d))) (* (* (sqrt (exp e)) (sqrt (exp e))) (sqrt (exp e)))) (* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (sqrt (exp d)) (sqrt (exp e))))) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b))))
702.0ms
(* (* (* (* (* (sqrt (exp d)) (sqrt (exp d))) (sqrt (exp d))) (* (* (sqrt (exp e)) (sqrt (exp e))) (sqrt (exp e)))) (* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (sqrt (exp d)) (sqrt (exp e))))) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b))))
646.0ms
(* (* (* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b))) (* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b)))) (* (* (* (sqrt (exp d)) (sqrt (exp e))) (* (sqrt (exp d)) (sqrt (exp e)))) (* (* (exp c) (exp a)) (exp b))))

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
551.0ms8000×pre80true
437.0ms8000×body80valid