Details

Time bar (total: 15.2s)

sample21.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (/ y z) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
15.0ms
(* (/ y z) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (/ y z) x)

simplify4.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* x y) z)

rewrite10.0ms

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:
10.0ms
(/ (* x y) z)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* x y) z)

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune60.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ x (/ z y))

rewrite13.0ms

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:
9.0ms
(/ x (/ z y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ x (/ z y))

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: 3 (695.0ms)

IterNodesCost
0152892
1313825
2947785
32760783
done5000783

prune200.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
25×add-exp-log
22×associate-/r*
18×add-cbrt-cube
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
32.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt y)
200.0ms
(cbrt y)
192.0ms
(cbrt y)
51.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify807.0ms

Counts
121 → 121
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
01751472
14481387
217861045
done5001927

prune310.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

79.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02757
13249
done3249

end0.0ms

sample576.0ms

Algorithm
intervals
Results
244.0ms9566×body80valid