Details

Time bar (total: 22.2s)

sample33.0ms

Algorithm
intervals
Results
15.0ms313×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize11.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
22.0ms
(/ (* x y) z)

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (* x y) z)

simplify3.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune80.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
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 log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
72.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series962.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt z)
324.0ms
(cbrt z)
303.0ms
(cbrt z)
72.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01441257
14041201
21699903
done5001806

prune434.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
4.5b
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

rewrite656.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
37×cbrt-prod
33×add-sqr-sqrt
30×add-cbrt-cube
25×add-cube-cbrt *-un-lft-identity
23×times-frac
22×associate-*r* prod-exp cbrt-unprod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (cbrt z))
3.0ms
(cbrt (cbrt z))
3.0ms
(cbrt (cbrt z))
640.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
369.0ms
(cbrt (cbrt z))
506.0ms
(cbrt (cbrt z))
420.0ms
(cbrt (cbrt z))
80.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

simplify2.4s

Counts
126 → 126
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01812229
14952150
223251448
done5001986

prune532.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
5.2b
(* (/ (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (cbrt z)) (cbrt z)) (/ y (cbrt (cbrt z))))

rewrite690.0ms

Algorithm
rewrite-expression-head
Rules
1816×times-frac
998×add-sqr-sqrt
849×cbrt-prod
713×add-cube-cbrt *-un-lft-identity
604×associate-*l*
60×unswap-sqr
44×div-inv
36×add-exp-log
31×associate-*r*
20×add-cbrt-cube
16×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 765
Calls
4 calls:
1.0ms
(cbrt z)
6.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
595.0ms
(* (/ (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (cbrt z)) (cbrt z)) (/ y (cbrt (cbrt z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt z)
362.0ms
(cbrt (* (cbrt z) (cbrt z)))
387.0ms
(cbrt (cbrt z))
74.0ms
(* (/ (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (cbrt z)) (cbrt z)) (/ y (cbrt (cbrt z))))

simplify1.7s

Counts
777 → 777
Iterations

Useful iterations: done (1.7s)

IterNodesCost
084217851
1275017770
done500117308

prune5.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

75.3% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 4.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02353
12853
done2853

end0.0ms

sample594.0ms

Algorithm
intervals
Results
315.0ms9623×body80valid