Details

Time bar (total: 15.5s)

sample37.0ms

Algorithm
intervals
Results
24.0ms314×body80valid

simplify446.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
445.0ms
(* x (/ (* (/ y z) t) t))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (* x y) z)

rewrite9.0ms

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
8.0ms
(/ (* x y) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ (* x y) z)

simplify493.0ms

Counts
15 → 27
Calls
15 calls:
Slowest
161.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
147.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
48.0ms
(- (log (* x y)) (log z))
39.0ms
(- (+ (log x) (log y)) (log z))
23.0ms
(/ (* x y) z)

prune221.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 104
Calls
4 calls:
Slowest
49.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series971.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
334.0ms
(cbrt z)
292.0ms
(cbrt z)
269.0ms
(cbrt z)
76.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify5.9s

Counts
77 → 116
Calls
77 calls:
Slowest
616.0ms
(* (/ (* (* x x) x) (* z z)) (/ (* (* y y) y) z))
459.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (log (/ y (cbrt z))))
459.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z))))
441.0ms
(+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (- (log y) (log (cbrt z))))
412.0ms
(* (/ (* (* x x) x) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z))))

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

5.1b
(* 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
Counts
1 → 35
Calls
1 calls:
Slowest
18.0ms
(* x (/ y z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(* x (/ y z))

simplify620.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
229.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
107.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
55.0ms
(+ (log x) (log (/ y z)))
38.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
33.0ms
(+ (log x) (- (log y) (log z)))

prune311.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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
Counts
1 → 41
Calls
1 calls:
Slowest
25.0ms
(* (* x y) (/ 1 z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
23.0ms
(* (* x y) (/ 1 z))

simplify2.4s

Counts
30 → 44
Calls
30 calls:
Slowest
918.0ms
(* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
226.0ms
(* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z)))
196.0ms
(* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z)))
117.0ms
(* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
116.0ms
(+ (log (* x y)) (- (log 1) (log z)))

prune384.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes413.0ms

Accuracy

91% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.4b

bsearch9.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s9637×body80valid