Details

Time bar (total: 25.1s)

sample56.0ms

Algorithm
intervals
Results
39.0ms306×body80valid

simplify404.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
404.0ms
(* x (/ (* (/ y z) t) t))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(* x (/ y z))

rewrite10.0ms

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
Counts
1 → 35
Calls
1 calls:
Slowest
9.0ms
(* x (/ y z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(* x (/ y z))

simplify753.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
314.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
113.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
57.0ms
(+ (log x) (log (/ y z)))
35.0ms
(+ (log x) (- (log y) (log z)))
33.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune353.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.9b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite56.0ms

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
Counts
4 → 75
Calls
4 calls:
Slowest
50.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
326.0ms
(cbrt y)
302.0ms
(cbrt y)
278.0ms
(cbrt y)
139.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify5.3s

Counts
44 → 87
Calls
44 calls:
Slowest
536.0ms
(* (* (* 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)))))
486.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
432.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
398.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt z) (cbrt z)))))
372.0ms
(* (* (* x x) x) (* (* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b
(/ (* x y) z)

rewrite15.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
14.0ms
(/ (* x y) z)

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(/ (* x y) z)

simplify461.0ms

Counts
15 → 27
Calls
15 calls:
Slowest
163.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
126.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
54.0ms
(- (+ (log x) (log y)) (log z))
48.0ms
(- (log (* x y)) (log z))
16.0ms
(/ (* x y) z)

prune318.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
36×prod-exp
28×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×div-exp cbrt-unprod
9×pow1
8×cbrt-undiv
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×frac-times associate-*l/ un-div-inv
1×associate-*l* *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
Slowest
138.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
311.0ms
(cbrt z)
305.0ms
(cbrt z)
302.0ms
(cbrt z)
105.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))

simplify10.6s

Counts
76 → 119
Calls
76 calls:
Slowest
667.0ms
(* (* (* (* x x) x) (* (* (/ 1 (* (cbrt z) (cbrt z))) (/ 1 (* (cbrt z) (cbrt z)))) (/ 1 (* (cbrt z) (cbrt z))))) (/ (* (* y y) y) z))
519.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
516.0ms
(+ (+ (log x) (- 0 (+ (log (cbrt z)) (log (cbrt z))))) (log (/ y (cbrt z))))
504.0ms
(+ (+ (log x) (- 0 (log (* (cbrt z) (cbrt z))))) (log (/ y (cbrt z))))
492.0ms
(+ (+ (log x) (- 0 (log (* (cbrt z) (cbrt z))))) (- (log y) (log (cbrt z))))

prune1.3s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes446.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s9601×body80valid