Details

Time bar (total: 46.6s)

sample51.0ms

Algorithm
intervals
Results
33.0ms306×body80valid

simplify3.7s

Counts
1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

6.2b
(* (/ x z) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative insert-posit16 div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
Slowest
23.0ms
(* (/ x z) y)

series39.0ms

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

simplify2.0s

Counts
36 → 36

prune479.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) y))
1.5b
(* (/ x (cbrt z)) y)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
rec-exp 1-exp
associate-*r* pow-prod-down associate-*l/ insert-posit16 add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 119
Calls
4 calls:
Slowest
70.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) y))
22.0ms
(* (/ x (cbrt z)) y)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series848.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
342.0ms
(cbrt z)
263.0ms
(cbrt z)
174.0ms
(* (/ x (cbrt z)) y)
69.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) y))

simplify4.8s

Counts
131 → 131

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.9b
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))
1.5b
(/ x (/ (cbrt z) y))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
205×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
96×cbrt-prod
74×associate-/l*
30×add-exp-log
23×associate-/r*
21×add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
pow1 insert-posit16 add-log-exp
prod-exp associate-/r/ cbrt-unprod
clear-num frac-2neg pow1/3
associate-/l/
Counts
4 → 298
Calls
4 calls:
Slowest
20.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))
7.0ms
(/ x (/ (cbrt z) y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series867.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(cbrt z)
252.0ms
(cbrt z)
210.0ms
(/ x (/ (cbrt z) y))
101.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

simplify1.7s

Counts
310 → 310

prune4.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
2346×times-frac
1143×cbrt-prod
1071×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
125×associate-/l*
29×div-inv
13×add-exp-log
add-cbrt-cube
associate-/r/
cbrt-undiv associate-/r* div-exp
pow1 insert-posit16 add-log-exp
pow1/3
clear-num frac-2neg associate-/l/
Counts
4 → 935
Calls
4 calls:
Slowest
22.0ms
(/ (/ x (/ (cbrt z) (cbrt y))) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(cbrt z)
283.0ms
(cbrt z)
262.0ms
(cbrt z)
145.0ms
(/ (/ x (/ (cbrt z) (cbrt y))) (cbrt z))

simplify3.3s

Counts
947 → 947

prune18.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes365.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s9597×body80valid