Details

Time bar (total: 21.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms299×body80valid

simplify8.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
089
1169
2407
3985
44115
524325
done50015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b
(* x (/ y z))

rewrite9.0ms

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))

series23.0ms

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

simplify3.9s

Counts
37 → 37
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
071289
1168272
2449242
31366242
43721242
done5000242

prune95.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.9b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
53.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series605.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
180.0ms
(cbrt y)
189.0ms
(cbrt y)
45.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify869.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01241035
1362985
21679699
done5000699

prune291.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ (* 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)

series22.0ms

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

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
050198
1113191
2385161
31802161
done5000161

prune51.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (* x y) (/ 1 z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
15.0ms
(* (* x y) (/ 1 z))

series23.0ms

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

simplify3.3s

Counts
43 → 43
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
085427
1245336
2823250
33083250
done5000250

prune66.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes209.0ms

Accuracy

88.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.3b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02049
12445
22741
33337
43636
53936
64236
74336
done4336

end0.0ms

sample509.0ms

Algorithm
intervals
Results
265.0ms9588×body80valid