Details

Time bar (total: 15.2s)

sample26.0ms

Algorithm
intervals
Results
10.0ms299×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1883
21083
31383
41583
51683
done1683

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize6.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (* x y) z)

rewrite8.0ms

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 div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
7.0ms
(/ (* x y) z)

series37.0ms

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

simplify2.9s

Counts
24 → 24
Iterations

Useful iterations: 3 (747.0ms)

IterNodesCost
0483643
11193351
24503271
322053111
done50063111

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite40.0ms

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×add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
35.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series897.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt z)
308.0ms
(cbrt z)
260.0ms
(cbrt z)
67.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.4s

Counts
104 → 104
Iterations

Useful iterations: done (2.4s)

IterNodesCost
014030298
144127744
2185627303
done500323023

prune486.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize135.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
19×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
14×cbrt-prod
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×frac-times associate-*l/ associate-*r/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 95
Calls
4 calls:
55.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
19.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
22.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
24.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
128.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
138.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
114.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

simplify2.9s

Counts
107 → 107
Iterations

Useful iterations: done (2.9s)

IterNodesCost
016840375
147738885
2177238400
done500029760

prune796.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
16.0ms
(/ x (/ z y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ x (/ z y))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
015020967
136719583
2100318730
3369518649
done500018649

prune291.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes490.0ms

Accuracy

89.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
021767
126767
229767
332767
done32767

end0.0ms

sample628.0ms

Algorithm
intervals
Results
353.0ms9626×body80valid