Details

Time bar (total: 1.1m)

sample65.0ms

Algorithm
intervals
Results
44.0ms315×body80valid

simplify459.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
459.0ms
(* x (/ (* (/ y z) t) t))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize13.0ms

Local error

Found 1 expressions with local error:

5.2b
(/ (* x y) z)

rewrite23.0ms

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
23.0ms
(/ (* x y) z)

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
37.0ms
(/ (* x y) z)

simplify1.0s

Counts
29 → 25
Calls
29 calls:
Slowest
266.0ms
(* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z))
173.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
145.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
63.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))
49.0ms
(* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z)))

prune246.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite45.0ms

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
42.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series952.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
331.0ms
(cbrt z)
279.0ms
(cbrt z)
270.0ms
(cbrt z)
73.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify12.1s

Counts
120 → 108
Calls
120 calls:
Slowest
609.0ms
(* (/ (* (* x x) x) (* z z)) (/ (* (* y y) y) z))
496.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) 1))
458.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (log (/ y (cbrt z))))
447.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z))))
365.0ms
(+ (log (/ x (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z))))

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
0.6b
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
85×add-exp-log
82×times-frac
71×cbrt-prod
50×associate-*l*
47×*-un-lft-identity add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 181
Calls
4 calls:
Slowest
44.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
21.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series861.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
294.0ms
(cbrt x)
281.0ms
(cbrt x)
246.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
39.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

simplify30.5s

Counts
214 → 193
Calls
214 calls:
Slowest
913.0ms
(* (* (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (/ (cbrt x) (cbrt z))) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z))))
595.0ms
(* (* (* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (/ (* (cbrt x) (cbrt x)) (cbrt z))) (/ (* (cbrt x) (cbrt x)) (cbrt z))) (* (* (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))
577.0ms
(exp (* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))
554.0ms
(* (/ x z) (/ (* (* y y) y) z))
549.0ms
(* (* (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (/ y (cbrt z)))
1.8b
(cbrt (/ y (cbrt z)))
1.8b
(cbrt (/ y (cbrt z)))
1.6b
(/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z))))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
57×times-frac
45×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
22×add-exp-log
14×add-cbrt-cube
9×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r/ associate-/l*
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/
Counts
4 → 127
Calls
4 calls:
Slowest
18.0ms
(/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z))))))
2.0ms
(cbrt (/ y (cbrt z)))
2.0ms
(cbrt (/ y (cbrt z)))
2.0ms
(cbrt (/ y (cbrt z)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
274.0ms
(/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z))))))
243.0ms
(cbrt (/ y (cbrt z)))
208.0ms
(cbrt (/ y (cbrt z)))
196.0ms
(cbrt (/ y (cbrt z)))

simplify14.4s

Counts
209 → 139
Calls
209 calls:
Slowest
1.4s
(* (* (/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z)))))) (/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z))))))) (/ x (* (/ (cbrt z) (cbrt (/ y (cbrt z)))) (/ (cbrt z) (cbrt (/ y (cbrt z)))))))
756.0ms
(* (pow (/ 1 z) 1/9) (pow y 1/3))
729.0ms
(* (pow (/ 1 z) 1/9) (pow y 1/3))
673.0ms
(* (pow (/ 1 z) 1/9) (pow y 1/3))
661.0ms
(* (pow (/ 1 z) 1/9) (pow y 1/3))

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s9632×body80valid