Details

Time bar (total: 20.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
12111
23910
36410
49410
512310
612510
done12510

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
5.6b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) y)
17.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (/ 1.0 x) y)
63.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.4s

Counts
272 → 272
Iterations

Useful iterations: 2 (377.0ms)

IterNodesCost
04715328
110985051
245594931
done50004931

prune780.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.1b
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (sqrt (fma z z 1.0)))
14.7b
(sqrt (fma z z 1.0))
14.7b
(sqrt (fma z z 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
57×add-exp-log
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
31×add-cbrt-cube
29×cbrt-undiv div-exp
15×div-inv
13×prod-exp cbrt-unprod
9×associate-/l*
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 147
Calls
4 calls:
0.0ms
(cbrt x)
17.0ms
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (sqrt (fma z z 1.0)))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series550.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
266.0ms
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (sqrt (fma z z 1.0)))
56.0ms
(sqrt (fma z z 1.0))
56.0ms
(sqrt (fma z z 1.0))

simplify1.1s

Counts
159 → 159
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
03054340
18253938
237973305
done50013305

prune605.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0)))
4.1b
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
2539×times-frac
1200×add-sqr-sqrt
1142×add-cube-cbrt *-un-lft-identity
856×cbrt-prod
412×associate-*r*
136×associate-/l*
115×add-exp-log
65×add-cbrt-cube
52×cbrt-undiv div-exp div-inv
36×prod-exp cbrt-unprod
16×unswap-sqr
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1079
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
176.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0)))
40.0ms
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0))

series671.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
175.0ms
(cbrt y)
160.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0)))
155.0ms
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (fma z z 1.0))

simplify1.3s

Counts
1091 → 1091
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0149031102
1495429499
done500029211

prune3.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))
1.8b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))))
3.4b
(* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0)))

rewrite595.0ms

Algorithm
rewrite-expression-head
Rules
2752×times-frac
1842×cbrt-prod
1292×add-sqr-sqrt
1261×add-cube-cbrt *-un-lft-identity
467×associate-*r*
231×add-exp-log
154×associate-/l*
117×prod-exp cbrt-unprod
113×add-cbrt-cube
67×cbrt-undiv div-exp
52×div-inv
24×cbrt-div
22×frac-times
18×pow1
16×associate-*r/ associate-*l/
10×unswap-sqr
9×pow-prod-down
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×*-commutative
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 1261
Calls
4 calls:
1.0ms
(cbrt y)
44.0ms
(/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))
219.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))))
183.0ms
(* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
198.0ms
(/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))
138.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0))))
185.0ms
(* (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (/ (/ (cbrt (/ (cbrt 1.0) x)) (cbrt y)) (fma z z 1.0)))

simplify489.0ms

Counts
1273 → 1273
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0175840315
done500140315

prune7.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.1b

regimes189.0ms

Accuracy

0% (1.7b remaining)

Error of 6.4b against oracle of 4.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01737
11937
done1937

end0.0ms

sample412.0ms

Algorithm
intervals
Results
238.0ms8683×body80valid