Details

Time bar (total: 46.9s)

sample66.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
20.0ms256×body80valid

simplify427.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
426.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize23.0ms

Local error

Found 2 expressions with local error:

2.6b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
2 → 44
Calls
2 calls:
Slowest
62.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

series47.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
31.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

simplify897.0ms

Counts
21 → 50
Calls
21 calls:
Slowest
185.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
171.0ms
(* (exp a) (exp (+ b (+ c d))))
160.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
56.0ms
(+ a (+ b (+ c d)))
48.0ms
(+ a (+ b (+ c d)))

prune447.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ a (+ (+ b c) d))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 23
Calls
1 calls:
Slowest
55.0ms
(+ a (+ (+ b c) d))

series31.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
31.0ms
(+ a (+ (+ b c) d))

simplify776.0ms

Counts
11 → 26
Calls
11 calls:
Slowest
209.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
168.0ms
(* (exp a) (exp (+ (+ b c) d)))
157.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
65.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

prune320.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.4b

localize43.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
9×fma-def
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 108
Calls
4 calls:
Slowest
399.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
73.0ms
(+ a (+ (+ b c) d))
59.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

series219.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms
(+ a (+ (+ b c) d))
51.0ms
(+ a (+ (+ b c) d))
35.0ms
(+ a (+ (+ b c) d))

simplify16.9s

Counts
63 → 120
Calls
63 calls:
Slowest
993.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
817.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
815.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
793.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
728.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.4s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 0.9b

localize51.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite636.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
21×distribute-lft-out
18×sum-log
14×associate-*l/
11×fma-def
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 109
Calls
4 calls:
Slowest
422.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
78.0ms
(+ a (+ (+ b c) d))
67.0ms
(+ a (+ (+ b c) d))
66.0ms
(+ (+ a (+ b c)) d)

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
111.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
46.0ms
(+ (+ a (+ b c)) d)
36.0ms
(+ a (+ (+ b c) d))
31.0ms
(+ a (+ (+ b c) d))

simplify18.9s

Counts
63 → 121
Calls
63 calls:
Slowest
1.1s
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (+ a (+ b c)) d)))
1.0s
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
949.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
928.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
908.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))

prune1.5s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 0.6b

regimes1.8s

Accuracy

0% (2.0b remaining)

Error of 2.8b against oracle of 0.8b and baseline of 2.8b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
582.0ms8000×pre80true
546.0ms8000×body80valid