Details

Time bar (total: 1.4m)

sample48.0ms

Algorithm
intervals
Results
16.0ms256×pre80true
14.0ms256×body80valid

simplify264.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
264.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize13.0ms

Local error

Found 2 expressions with local error:

2.5b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite67.0ms

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
41.0ms
(+ a (+ b (+ c d)))
26.0ms
(+ b (+ c d))

series71.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(+ a (+ b (+ c d)))
18.0ms
(+ b (+ c d))

simplify4.1s

Counts
42 → 40
Calls
42 calls:
Slowest
844.0ms
(+ (pow a 3) (pow (+ b (+ c d)) 3))
349.0ms
(+ (* b b) (- (* (+ c d) (+ c d)) (* b (+ c d))))
253.0ms
(- a (+ b (+ c d)))
218.0ms
(* (* (+ a (+ b (+ c d))) (+ a (+ b (+ c d)))) (+ a (+ b (+ c d))))
209.0ms
(* (exp a) (* (exp b) (exp (+ c d))))

prune438.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.5b
(+ a (+ (+ b c) d))

rewrite57.0ms

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
56.0ms
(+ a (+ (+ b c) d))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
35.0ms
(+ a (+ (+ b c) d))

simplify3.0s

Counts
22 → 21
Calls
22 calls:
Slowest
906.0ms
(+ (pow a 3) (pow (+ (+ b c) d) 3))
272.0ms
(- a (+ (+ b c) d))
234.0ms
(* (exp a) (exp (+ (+ b c) d)))
217.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
196.0ms
(* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d)))

prune269.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.4b

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b
(+ a (+ (+ b c) d))
2.5b
(+ a (+ (+ b c) d))
2.5b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite638.0ms

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
443.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
71.0ms
(+ a (+ (+ b c) d))
65.0ms
(+ a (+ (+ b c) d))
57.0ms
(+ a (+ (+ b c) d))

series201.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
50.0ms
(+ a (+ (+ b c) d))
43.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))

simplify32.9s

Counts
131 → 103
Calls
131 calls:
Slowest
1.2s
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
921.0ms
(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))))
852.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
849.0ms
(+ (pow a 3) (pow (+ (+ b c) d) 3))
823.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.3s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.5b
(+ a (+ (+ b c) d))
2.5b
(+ a (+ (+ b c) d))
2.5b
(+ (+ 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
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 90
Calls
4 calls:
Slowest
393.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
107.0ms
(+ (+ a (+ b c)) d)
81.0ms
(+ a (+ (+ b c) d))
42.0ms
(+ a (+ (+ b c) d))

series281.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
40.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ (+ a (+ b c)) d)
36.0ms
(+ a (+ (+ b c) d))

simplify35.8s

Counts
131 → 102
Calls
131 calls:
Slowest
1.4s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
911.0ms
(+ (pow a 3) (pow (+ (+ b c) d) 3))
887.0ms
(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))))
825.0ms
(cbrt (* (* (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d))))) (+ (* (+ a (+ b c)) (+ a (+ b c))) (- (* d d) (* (+ a (+ b c)) d)))))
817.0ms
(+ (pow a 3) (pow (+ (+ b c) d) 3))

prune1.2s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.7b

regimes1.5s

Accuracy

0% (1.9b remaining)

Error of 2.7b against oracle of 0.8b and baseline of 2.7b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
536.0ms8000×pre80true
531.0ms8000×body80valid