Details

Time bar (total: 22.6s)

sample47.0ms

Algorithm
intervals
Results
35.0ms314×body80valid

simplify454.0ms

Calls
1 calls:
Slowest
453.0ms
(* x (/ (* (/ y z) t) t))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 1 expressions with local error:

5.6b
(* x (/ y z))

rewrite19.0ms

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
18.0ms
(* x (/ y z))

series28.0ms

Calls
1 calls:
Slowest
28.0ms
(* x (/ y z))

simplify632.0ms

Calls
27 calls:
Slowest
231.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
123.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
50.0ms
(+ (log x) (- (log y) (log z)))
38.0ms
(+ (log x) (log (/ y z)))
37.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune351.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite100.0ms

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
94.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series800.0ms

Calls
4 calls:
Slowest
244.0ms
(cbrt y)
241.0ms
(cbrt y)
239.0ms
(cbrt y)
75.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.6s

Calls
68 calls:
Slowest
894.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
527.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
502.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
421.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
414.0ms
(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (log (/ (cbrt y) z)))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* x y) (/ 1 z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*l* associate-*r/ un-div-inv *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
37.0ms
(* (* x y) (/ 1 z))

series41.0ms

Calls
1 calls:
Slowest
41.0ms
(* (* x y) (/ 1 z))

simplify2.4s

Calls
30 calls:
Slowest
821.0ms
(* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
217.0ms
(* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z)))
186.0ms
(* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z)))
140.0ms
(* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
118.0ms
(+ (log (* x y)) (- 0 (log z)))

prune464.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.7b
(/ x (/ z y))

rewrite14.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
12.0ms
(/ x (/ z y))

series35.0ms

Calls
1 calls:
Slowest
34.0ms
(/ x (/ z y))

simplify4.2s

Calls
100 calls:
Slowest
542.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
342.0ms
(/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
246.0ms
(/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y))))
198.0ms
(/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
173.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y)))

prune906.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes286.0ms

Accuracy

80.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 5.0b

bsearch11.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s9602×body80valid