Details

Time bar (total: 19.2s)

sample39.0ms

Algorithm
intervals
Results
24.0ms313×body80valid

simplify415.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
415.0ms
(* x (/ (* (/ y z) t) t))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (/ y z))

rewrite18.0ms

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
17.0ms
(* x (/ y z))

series36.0ms

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

simplify637.0ms

Counts
27 → 36
Calls
27 calls:
Slowest
193.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
100.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
55.0ms
(+ (log x) (log (/ y z)))
46.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
42.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune356.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite97.0ms

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
90.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series893.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
299.0ms
(cbrt y)
276.0ms
(cbrt y)
253.0ms
(cbrt y)
64.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.5s

Counts
68 → 105
Calls
68 calls:
Slowest
946.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
838.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
461.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
456.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
438.0ms
(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
Slowest
9.0ms
(/ (* x y) z)

series32.0ms

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

simplify478.0ms

Counts
15 → 25
Calls
15 calls:
Slowest
149.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
140.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
55.0ms
(- (+ (log x) (log y)) (log z))
50.0ms
(- (log (* x y)) (log z))
22.0ms
(/ (* x y) z)

prune254.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ x (/ z y))

rewrite12.0ms

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
10.0ms
(/ x (/ z y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(/ x (/ z y))

simplify3.7s

Counts
100 → 74
Calls
100 calls:
Slowest
494.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
320.0ms
(/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
232.0ms
(/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y))))
180.0ms
(/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (* (cbrt y) (cbrt y))))
160.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1))

prune620.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0.1% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 5.9b

bsearch114.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s9531×body80valid