Details

Time bar (total: 18.0s)

sample47.0ms

Algorithm
intervals
Results
32.0ms309×body80valid

simplify412.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
412.0ms
(* x (/ (* (/ y z) t) t))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 1 expressions with local error:

5.2b
(* x (/ y z))

rewrite15.0ms

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
14.0ms
(* x (/ y z))

series31.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
31.0ms
(* x (/ y z))

simplify668.0ms

Counts
27 → 36
Calls
27 calls:
Slowest
209.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
127.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
50.0ms
(+ (log x) (- (log y) (log z)))
46.0ms
(+ (log x) (log (/ y z)))
43.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune424.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (* 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×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
14.0ms
(/ (* x y) z)

series27.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
27.0ms
(/ (* x y) z)

simplify519.0ms

Counts
15 → 25
Calls
15 calls:
Slowest
167.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
157.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
56.0ms
(- (log (* x y)) (log z))
29.0ms
(- (+ (log x) (log y)) (log z))
25.0ms
(/ (* x y) z)

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ z (* x y))
0.4b
(/ 1 (/ z (* x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×clear-num frac-2neg cbrt-unprod insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 79
Calls
2 calls:
Slowest
20.0ms
(/ 1 (/ z (* x y)))
7.0ms
(/ z (* x y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(/ z (* x y))
40.0ms
(/ 1 (/ z (* x y)))

simplify4.0s

Counts
80 → 85
Calls
80 calls:
Slowest
258.0ms
(/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y))))
198.0ms
(- 0 (- (log z) (log (* x y))))
198.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt z) (cbrt z)) x))
192.0ms
(- (log 1) (- (log z) (+ (log x) (log y))))
191.0ms
(- 0 (- (log z) (+ (log x) (log y))))

prune888.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite32.0ms

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×insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 96
Calls
4 calls:
Slowest
28.0ms
(* (/ x (* (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
320.0ms
(cbrt z)
317.0ms
(cbrt z)
311.0ms
(cbrt z)
96.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify5.8s

Counts
77 → 108
Calls
77 calls:
Slowest
649.0ms
(* (/ (* (* x x) x) (* z z)) (/ (* (* y y) y) z))
483.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z))))
480.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (log (/ y (cbrt z))))
389.0ms
(+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (log (/ y (cbrt z))))
372.0ms
(+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (- (log y) (log (cbrt z))))

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes464.0ms

Accuracy

79.4% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 6.0b

bsearch9.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s9567×body80valid