Details

Time bar (total: 48.5s)

sample412.0ms

Algorithm
intervals
Results
19.0ms256×pre80true
16.0ms256×body80valid

simplify342.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
342.0ms
(* (+ a (+ b (+ c d))) 2)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 2 expressions with local error:

2.9b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite72.0ms

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
49.0ms
(+ a (+ b (+ c d)))
23.0ms
(+ b (+ c d))

series53.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
33.0ms
(+ a (+ b (+ c d)))
20.0ms
(+ b (+ c d))

simplify956.0ms

Counts
21 → 50
Calls
21 calls:
Slowest
210.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
174.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
171.0ms
(* (exp a) (exp (+ b (+ c d))))
62.0ms
(* (exp b) (exp (+ c d)))
55.0ms
(+ a (+ b (+ c d)))

prune469.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ a (+ (+ b c) d))

rewrite49.0ms

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
49.0ms
(+ a (+ (+ b c) d))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(+ a (+ (+ b c) d))

simplify743.0ms

Counts
11 → 26
Calls
11 calls:
Slowest
185.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
167.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
160.0ms
(* (exp a) (exp (+ (+ b c) d)))
82.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ a (+ (+ b c) d))

prune272.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.6b

localize30.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite654.0ms

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
428.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
84.0ms
(+ a (+ (+ b c) d))
81.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
43.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))

simplify17.8s

Counts
63 → 120
Calls
63 calls:
Slowest
995.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
832.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
787.0ms
(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))))
782.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
762.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.5s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 1.1b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
2.9b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite732.0ms

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
461.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
113.0ms
(+ (+ a (+ b c)) d)
90.0ms
(+ a (+ (+ b c) d))
65.0ms
(+ a (+ (+ b c) d))

series269.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
54.0ms
(+ a (+ (+ b c) d))
38.0ms
(+ a (+ (+ b c) d))
34.0ms
(+ (+ a (+ b c)) d)

simplify19.2s

Counts
63 → 121
Calls
63 calls:
Slowest
1.1s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
1.1s
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
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))))
901.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
889.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))

prune1.5s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.8b

regimes1.4s

Accuracy

0% (2.0b remaining)

Error of 2.7b against oracle of 0.7b and baseline of 2.7b

bsearch4.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
932.0ms8000×body80valid
521.0ms8000×pre80true