Details

Time bar (total: 20.1s)

sample34.0ms

Algorithm
intervals
Results
22.0ms306×body80valid

simplify4.2s

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 1 expressions with local error:

5.1b
(* (/ x z) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
Slowest
15.0ms
(* (/ x z) y)

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* (/ x z) y)

simplify2.1s

Counts
38 → 38

prune402.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (/ x z) (* (cbrt y) (cbrt y)))
0.9b
(* (* (/ x z) (* (cbrt y) (cbrt y))) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 98
Calls
4 calls:
Slowest
83.0ms
(* (* (/ x z) (* (cbrt y) (cbrt y))) (cbrt y))
24.0ms
(* (/ x z) (* (cbrt y) (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series881.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
342.0ms
(cbrt y)
307.0ms
(cbrt y)
172.0ms
(* (/ x z) (* (cbrt y) (cbrt y)))
60.0ms
(* (* (/ x z) (* (cbrt y) (cbrt y))) (cbrt y))

simplify1.5s

Counts
110 → 110

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (/ x z))
11.7b
(cbrt (/ x z))
11.7b
(cbrt (/ x z))
0.4b
(* (cbrt (/ x z)) (cbrt (/ x z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
5.0ms
(cbrt (/ x z))
1.0ms
(cbrt (/ x z))
1.0ms
(cbrt (/ x z))

series366.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
86.0ms
(cbrt (/ x z))
86.0ms
(cbrt (/ x z))
79.0ms
(cbrt (/ x z))

simplify1.6s

Counts
168 → 168

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (/ x z))
11.7b
(cbrt (/ x z))
0.6b
(cbrt x)
0.5b
(cbrt (/ 1 z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 89
Calls
4 calls:
Slowest
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ x z))
1.0ms
(cbrt x)

series892.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(cbrt x)
319.0ms
(cbrt (/ 1 z))
131.0ms
(cbrt (/ x z))
122.0ms
(cbrt (/ x z))

simplify1.3s

Counts
101 → 101

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes295.0ms

Accuracy

73.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 6.2b

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s9558×body80valid