Details

Time bar (total: 28.3s)

sample45.0ms

Algorithm
intervals
Results
16.0ms256×pre80true
13.0ms256×body80valid

simplify347.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
347.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize24.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite52.0ms

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
32.0ms
(+ a (+ b (+ c d)))
19.0ms
(+ b (+ c d))

series61.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(+ a (+ b (+ c d)))
23.0ms
(+ b (+ c d))

simplify948.0ms

Counts
21 → 50
Calls
21 calls:
Slowest
184.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
181.0ms
(* (exp a) (exp (+ b (+ c d))))
144.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
79.0ms
(+ a (+ b (+ c d)))
77.0ms
(+ a (+ b (+ c d)))

prune501.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite64.0ms

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
63.0ms
(+ a (+ (+ b c) d))

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(+ a (+ (+ b c) d))

simplify773.0ms

Counts
11 → 26
Calls
11 calls:
Slowest
208.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
204.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
157.0ms
(* (exp a) (exp (+ (+ b c) d)))
71.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))

prune294.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.4b

localize29.0ms

Local error

Found 3 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
0.1b
(expm1 (+ a (+ (+ b c) d)))
0.0b
(log1p (expm1 (+ a (+ (+ b c) d))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-log-exp
6×sum-log distribute-lft-out
4×add-sqr-sqrt add-cube-cbrt log1p-expm1-u
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log insert-posit16
1×+-commutative associate-+r+ log1p-udef expm1-log1p flip3-+ log1p-expm1 flip-+ expm1-udef
Counts
3 → 47
Calls
3 calls:
Slowest
53.0ms
(+ a (+ (+ b c) d))
1.0ms
(expm1 (+ a (+ (+ b c) d)))
0.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))

series212.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
100.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
58.0ms
(expm1 (+ a (+ (+ b c) d)))
53.0ms
(+ a (+ (+ b c) d))

simplify1.2s

Counts
18 → 56
Calls
18 calls:
Slowest
232.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
178.0ms
(- (exp (+ a (+ b (+ c d)))) 1)
169.0ms
(* (exp a) (exp (+ (+ b c) d)))
159.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
141.0ms
(- (exp (+ a (+ b (+ c d)))) 1)

prune650.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.4b

localize53.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite561.0ms

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
402.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
57.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))
46.0ms
(+ a (+ (+ b c) d))

series232.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
58.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))

simplify17.7s

Counts
63 → 120
Calls
63 calls:
Slowest
1.2s
(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))))
890.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
886.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
871.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
691.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))

prune1.5s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 0.9b

regimes1.5s

Accuracy

0% (1.8b remaining)

Error of 2.7b against oracle of 0.9b and baseline of 2.7b

bsearch3.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
624.0ms8000×pre80true
546.0ms8000×body80valid