Details

Time bar (total: 31.8s)

sample29.0ms

Algorithm
intervals
Results
20.0ms311×body80valid

simplify396.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
396.0ms
(* x (/ (* (/ y z) t) t))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(* x (/ y z))

rewrite16.0ms

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×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
Slowest
15.0ms
(* x (/ y z))

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* x (/ y z))

simplify643.0ms

Counts
27 → 36
Calls
27 calls:
Slowest
245.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
117.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
45.0ms
(+ (log x) (log (/ y z)))
35.0ms
(+ (log x) (- (log y) (log z)))
29.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune335.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite71.0ms

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
4×1-exp insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
Slowest
65.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series891.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
288.0ms
(cbrt y)
282.0ms
(cbrt y)
261.0ms
(cbrt y)
60.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.6s

Counts
68 → 105
Calls
68 calls:
Slowest
1.3s
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
564.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
496.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
466.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
418.0ms
(+ (+ (log x) (- (log (* (cbrt y) (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
4.1b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×cbrt-unprod
14×div-exp
12×cbrt-prod associate-*r/
9×pow1 cbrt-div
8×cbrt-undiv
4×frac-times 1-exp associate-*l/ insert-posit16 add-log-exp
3×pow1/3 pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
Slowest
59.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
51.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
45.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
45.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
112.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
93.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
74.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify10.8s

Counts
71 → 108
Calls
71 calls:
Slowest
750.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
550.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
533.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
518.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
502.0ms
(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ y (/ z x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp
Counts
1 → 71
Calls
1 calls:
Slowest
5.0ms
(/ y (/ z x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(/ y (/ z x))

simplify3.9s

Counts
100 → 74
Calls
100 calls:
Slowest
415.0ms
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))))
388.0ms
(/ (* (* y y) y) (* (* (/ z x) (/ z x)) (/ z x)))
270.0ms
(/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt x) (cbrt x))))
149.0ms
(/ (sqrt y) (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))))
144.0ms
(/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))))

prune699.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes406.0ms

Accuracy

46.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.5b

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s9671×body80valid