Details

Time bar (total: 34.6s)

sample51.0ms

Algorithm
intervals
Results
36.0ms298×body80valid

simplify436.0ms

Calls
1 calls:
Slowest
436.0ms
(* x (/ (* (/ y z) t) t))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize8.0ms

Local error

Found 1 expressions with local error:

6.5b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
9.0ms
(* x (/ y z))

series36.0ms

Calls
1 calls:
Slowest
36.0ms
(* x (/ y z))

simplify630.0ms

Calls
27 calls:
Slowest
252.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
102.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
39.0ms
(+ (log x) (log (/ y z)))
38.0ms
(+ (log x) (- (log y) (log z)))
30.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune410.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
6×pow1
5×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down associate-*r/ *-commutative div-inv
Calls
4 calls:
Slowest
33.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.3s

Calls
4 calls:
Slowest
615.0ms
(cbrt y)
312.0ms
(cbrt y)
271.0ms
(cbrt y)
112.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify5.1s

Calls
44 calls:
Slowest
451.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
434.0ms
(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
427.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt z) (cbrt z)))))
410.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
372.0ms
(+ (log x) (log (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
25×prod-exp cbrt-unprod
24×add-cbrt-cube
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
8×cbrt-undiv div-exp
6×pow1
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×times-frac pow-prod-down associate-*r/ *-commutative div-inv unswap-sqr
Calls
4 calls:
Slowest
207.0ms
(* x (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series953.0ms

Calls
4 calls:
Slowest
300.0ms
(cbrt y)
292.0ms
(cbrt y)
238.0ms
(cbrt y)
123.0ms
(* x (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify9.8s

Calls
50 calls:
Slowest
625.0ms
(* (* (* x x) x) (/ (* (* (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y))) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
610.0ms
(* (* (* x x) x) (/ (* (* (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) y) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
579.0ms
(* (* (* x x) x) (/ (* (* (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt y)) y) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
520.0ms
(cbrt (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt z) (cbrt z))))
516.0ms
(/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt z) (cbrt z)))

prune1.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×cbrt-unprod
14×div-exp
9×pow1
8×cbrt-undiv
4×expm1-log1p-u 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Calls
4 calls:
Slowest
52.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series843.0ms

Calls
4 calls:
Slowest
290.0ms
(cbrt y)
274.0ms
(cbrt y)
211.0ms
(cbrt y)
69.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.9s

Calls
68 calls:
Slowest
881.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
683.0ms
(+ (log (* x (/ (* (cbrt y) (cbrt y)) 1))) (- (log (cbrt y)) (log z)))
652.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
478.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
471.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.2s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes361.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9640×body80valid