Details

Time bar (total: 28.3s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
10.0ms256×body80valid

simplify214.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
214.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
2 → 34
Calls
2 calls:
Slowest
42.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(+ a (+ b (+ c d)))
24.0ms
(+ b (+ c d))

simplify868.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
167.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
160.0ms
(* (exp a) (exp (+ b (+ c d))))
129.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
74.0ms
(+ a (+ b (+ c d)))
67.0ms
(+ a (+ b (+ c d)))

prune377.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 18
Calls
1 calls:
Slowest
73.0ms
(+ a (+ (+ b c) d))

series51.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
51.0ms
(+ a (+ (+ b c) d))

simplify739.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
207.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
170.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
161.0ms
(* (exp a) (exp (+ (+ b c) d)))
67.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))

prune197.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.6b

localize32.0ms

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))))

rewrite625.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 91
Calls
4 calls:
Slowest
434.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
72.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))
57.0ms
(+ a (+ (+ b c) d))

series223.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))
44.0ms
(+ a (+ (+ b c) d))

simplify16.5s

Counts
57 → 103
Calls
57 calls:
Slowest
936.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
834.0ms
(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))))
818.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
779.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
698.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.2s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 1.1b

localize57.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
1.3b
(+ (+ c d) a)
0.8b
(log (exp (+ (+ (+ c d) a) b)))

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
27×add-log-exp
21×distribute-lft-out
15×sum-log
7×log-pow
6×add-sqr-sqrt exp-prod add-cube-cbrt
5×pow1
4×log-prod add-cbrt-cube add-exp-log insert-posit16
3×+-commutative flip3-+ flip-+
2×associate-+r+
1×associate-+l+ rem-log-exp exp-sum
Counts
4 → 72
Calls
4 calls:
Slowest
321.0ms
(log (exp (+ (+ (+ c d) a) b)))
89.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ a (+ (+ b c) d))
35.0ms
(+ (+ c d) a)

series145.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
45.0ms
(+ a (+ (+ b c) d))
43.0ms
(log (exp (+ (+ (+ c d) a) b)))
35.0ms
(+ a (+ (+ b c) d))
22.0ms
(+ (+ c d) a)

simplify2.8s

Counts
39 → 84
Calls
39 calls:
Slowest
520.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
188.0ms
(log (* (cbrt (exp (+ (+ (+ c d) a) b))) (cbrt (exp (+ (+ (+ c d) a) b)))))
184.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
181.0ms
(* (exp a) (exp (+ (+ b c) d)))
177.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))

prune1.1s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.8b

regimes1.1s

Accuracy

0% (1.8b remaining)

Error of 2.5b against oracle of 0.7b and baseline of 2.5b

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
560.0ms8000×pre80true
524.0ms8000×body80valid