Details

Time bar (total: 19.0s)

sample52.0ms

Algorithm
intervals
Results
34.0ms306×body80valid

simplify3.9s

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 1 expressions with local error:

5.1b
(* (/ x z) y)

rewrite18.0ms

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×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative insert-posit16 div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
Slowest
18.0ms
(* (/ x z) y)

series23.0ms

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

simplify2.0s

Counts
36 → 36

prune290.0ms

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)

rewrite159.0ms

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×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
121.0ms
(* (* (/ x z) (* (cbrt y) (cbrt y))) (cbrt y))
33.0ms
(* (/ x z) (* (cbrt y) (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series687.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
249.0ms
(cbrt y)
245.0ms
(cbrt y)
141.0ms
(* (/ x z) (* (cbrt y) (cbrt y)))
51.0ms
(* (* (/ x z) (* (cbrt y) (cbrt y))) (cbrt y))

simplify1.8s

Counts
102 → 102

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite34.0ms

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×add-cbrt-cube insert-posit16 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 → 148
Calls
4 calls:
Slowest
22.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series397.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(cbrt (/ x z))
100.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
98.0ms
(cbrt (/ x z))
95.0ms
(cbrt (/ x z))

simplify1.9s

Counts
160 → 160

prune1.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize55.0ms

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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×cbrt-div div-inv
Counts
4 → 81
Calls
4 calls:
Slowest
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ x z))
1.0ms
(cbrt x)

series672.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
259.0ms
(cbrt (/ 1 z))
242.0ms
(cbrt x)
87.0ms
(cbrt (/ x z))
84.0ms
(cbrt (/ x z))

simplify1.1s

Counts
93 → 93

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes325.0ms

Accuracy

73.1% (1.7b remaining)

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

bsearch10.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s9558×body80valid