Details

Time bar (total: 11.3s)

sample32.0ms

Algorithm
intervals
Results
15.0ms312×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
08164
116164
242124
314683
4101783
done500183

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize11.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (* x y) z)

rewrite15.0ms

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:
14.0ms
(/ (* x y) z)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (* x y) z)

simplify773.0ms

Counts
26 → 26
Iterations

Useful iterations: done (771.0ms)

IterNodesCost
0503969
11203677
26273557
done50003437

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ z (* x y)))
3.9b
(/ z (* x y))

rewrite25.0ms

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:
13.0ms
(/ 1 (/ z (* x y)))
10.0ms
(/ z (* x y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (/ z (* x y)))
30.0ms
(/ z (* x y))

simplify1.2s

Counts
87 → 87
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012219165
129514817
2141614657
done500014337

prune359.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
0.8b
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
3.7b
(/ (* x y) (* (cbrt z) (cbrt z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×times-frac
37×cbrt-prod
36×add-exp-log
32×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube
13×cbrt-undiv div-exp
11×pow1
9×prod-exp cbrt-unprod div-inv
7×associate-/r* pow1/3
6×swap-sqr associate-*r* associate-*l* associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative associate-/l/
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt z)
16.0ms
(* (cbrt z) (cbrt z))
25.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
13.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

series805.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt z)
270.0ms
(* (cbrt z) (cbrt z))
74.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
200.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

simplify2.1s

Counts
154 → 154
Iterations

Useful iterations: done (2.1s)

IterNodesCost
019149302
149144337
2315939214
done500138414

prune908.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ x (/ z y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
14.0ms
(/ x (/ z y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ x (/ z y))

simplify1.4s

Counts
75 → 75
Iterations

Useful iterations: done (1.4s)

IterNodesCost
015221293
137619909
2168619056
done500018895

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes622.0ms

Accuracy

59.3% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.6b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
017596
121596
224596
327596
done27596

end0.0ms

sample1.1s

Algorithm
intervals
Results
586.0ms9540×body80valid