Details

Time bar (total: 27.3s)

sample31.0ms

Algorithm
intervals
Results
12.0ms284×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize5.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (/ y z) x)

rewrite28.0ms

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:
25.0ms
(* (/ y z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (/ y z) x)

simplify6.2s

Counts
37 → 37
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune148.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
106.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series937.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt y)
309.0ms
(cbrt y)
303.0ms
(cbrt y)
40.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify2.2s

Counts
102 → 102
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01251658
13521592
21811818
done5000539

prune330.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b
(* y (/ x z))

rewrite29.0ms

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:
26.0ms
(* y (/ x z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* y (/ x z))

simplify4.5s

Counts
37 → 37
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
072289
1165272
2450242
31179242
43001242
done5000242

prune89.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite13.0ms

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:
12.0ms
(/ (* x y) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (* x y) z)

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune93.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes205.0ms

Accuracy

36.2% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch3.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02141
12541
done2541

end0.0ms

sample1.2s

Algorithm
intervals
Results
566.0ms9529×body80valid