Details

Time bar (total: 10.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize4.0ms

Local error

Found 1 expressions with local error:

7.0b
(/ (* x y) z)

rewrite4.0ms

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:
3.0ms
(/ (* x y) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (* x y) z)

simplify2.1s

Counts
26 → 26
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
050198
1113191
2385161
31802161
done5000161

prune52.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ x (/ z y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
5.0ms
(/ x (/ z y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ x (/ z y))

simplify1.9s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0152892
1327825
2966785
33655783
done5001783

prune157.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify3.9s

Counts
37 → 37
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
071289
1168272
2449242
31366242
43721242
done5000242

prune72.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 72
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
19.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) y))

series567.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
171.0ms
(cbrt x)
175.0ms
(cbrt x)
44.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) y))

simplify640.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
093775
1253748
2930504
done5001504

prune175.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

93.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: done (2.0ms)

IterNodesCost
02551
13151
done3149

end0.0ms

sample365.0ms

Algorithm
intervals
Results
176.0ms9616×body80valid