Details

Time bar (total: 9.1s)

sample42.0ms

Algorithm
intervals
Results
13.0ms310×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done16
416
315
212
18
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (* x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
15.0ms
(/ (* x y) z)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* x y) z)

simplify880.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune185.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (* x y) (/ 1 z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*l* associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
35.0ms
(* (* x y) (/ 1 z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x y) (/ 1 z))

simplify1.7s

Counts
43 → 43
Iterations
IterNodes
done5000
21657
1251
085

prune243.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
2.8b
(* (/ y (cbrt z)) (/ x (cbrt z)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
75×add-sqr-sqrt
66×times-frac
45×*-un-lft-identity add-cube-cbrt
44×associate-*r*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*l*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*l/
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down associate-*r/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
1×un-div-inv
Counts
4 → 174
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
65.0ms
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
53.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

series946.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(cbrt z)
279.0ms
(cbrt z)
87.0ms
(* (* (/ y (cbrt z)) (/ x (cbrt z))) (/ 1 (cbrt z)))
255.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

simplify828.0ms

Counts
186 → 186
Iterations
IterNodes
done5000
1855
0257

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ z (* x y)))
3.9b
(/ z (* x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u clear-num frac-2neg cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 81
Calls
2 calls:
12.0ms
(/ 1 (/ z (* x y)))
8.0ms
(/ z (* x y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (/ z (* x y)))
34.0ms
(/ z (* x y))

simplify944.0ms

Counts
87 → 87
Iterations
IterNodes
done5000
21416
1295
0122

prune386.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes547.0ms

Accuracy

40.9% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done31
331
228
125
018

end0.0ms

sample807.0ms

Algorithm
intervals
Results
335.0ms9605×body80valid