Details

Time bar (total: 11.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms293×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
089
1169
2407
31015
45315
534235
done50005

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(* 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:
8.0ms
(* x (/ y z))

series22.0ms

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

simplify1.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
071289
1170272
2697242
32745242
done5000242

prune97.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite31.0ms

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

series626.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt z)
184.0ms
(cbrt z)
191.0ms
(cbrt z)
61.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify794.0ms

Counts
112 → 112
Iterations

Useful iterations: done (790.0ms)

IterNodesCost
01441257
14311207
22018903
done5001897

prune338.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
30×add-sqr-sqrt add-cbrt-cube
23×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp cbrt-unprod
19×cbrt-prod
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 → 105
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
211.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series645.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt z)
202.0ms
(cbrt z)
193.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify1.2s

Counts
117 → 117
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01712121
15372051
227691269
done50001267

prune385.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* 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)

simplify848.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
050198
1119191
2474161
32155161
done5000161

prune61.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

68.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02348
12640
done2640

end0.0ms

sample521.0ms

Algorithm
intervals
Results
268.0ms9576×body80valid