Details

Time bar (total: 19.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms313×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize10.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) z)

rewrite22.0ms

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)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (* x y) z)

simplify4.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune83.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
75.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt z)
302.0ms
(cbrt z)
805.0ms
(cbrt z)
104.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01441257
14041201
21699903
done5001806

prune440.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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 z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite584.0ms

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))
566.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
438.0ms
(cbrt (cbrt z))
463.0ms
(cbrt (cbrt z))
370.0ms
(cbrt (cbrt z))
88.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify2.6s

Counts
126 → 126
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01812256
14992177
223381457
done5000986

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
83×add-sqr-sqrt
59×cbrt-prod
45×add-exp-log
35×add-cube-cbrt *-un-lft-identity
31×associate-*r*
28×add-cbrt-cube
20×associate-*l*
17×cbrt-undiv div-exp
16×unswap-sqr
14×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 141
Calls
4 calls:
2.0ms
(cbrt z)
10.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
129.0ms
(* (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (* (cbrt z) (cbrt z))) (/ y (cbrt (cbrt z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt z)
468.0ms
(cbrt (* (cbrt z) (cbrt z)))
478.0ms
(cbrt (cbrt z))
82.0ms
(* (/ (/ x (cbrt (* (cbrt z) (cbrt z)))) (* (cbrt z) (cbrt z))) (/ y (cbrt (cbrt z))))

simplify2.2s

Counts
153 → 153
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02683038
17712950
232162264
done50002233

prune700.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

84.2% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02353
12853
done2853

end0.0ms

sample797.0ms

Algorithm
intervals
Results
313.0ms9623×body80valid