Details

Time bar (total: 15.2s)

sample20.0ms

Algorithm
intervals
Results
11.0ms274×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
12111
23910
36310
49310
512510
612710
done12710

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))

rewrite41.0ms

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:
9.0ms
(/ (/ 1.0 x) y)
16.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ 1.0 x) y)
58.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.6s

Counts
272 → 272
Iterations

Useful iterations: 2 (681.0ms)

IterNodesCost
04715328
110895051
238174931
done50004931

prune795.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize24.0ms

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:
1.0ms
(cbrt x)
18.0ms
(/ (/ (/ (* (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))

series557.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
264.0ms
(/ (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (sqrt (fma z z 1.0)))
53.0ms
(sqrt (fma z z 1.0))
58.0ms
(sqrt (fma z z 1.0))

simplify990.0ms

Counts
159 → 159
Iterations

Useful iterations: 2 (361.0ms)

IterNodesCost
03054340
18153918
234503305
done50003305

prune626.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (/ 1.0 (* (cbrt y) (cbrt y))) (/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0)))
4.1b
(/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
1461×times-frac
719×add-sqr-sqrt
661×*-un-lft-identity
657×add-cube-cbrt
285×cbrt-prod
250×associate-*r*
103×add-exp-log
82×associate-/l*
56×div-exp
52×div-inv
51×add-cbrt-cube
32×cbrt-undiv
24×prod-exp
16×cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1
4×expm1-log1p-u rec-exp 1-exp 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 → 695
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
122.0ms
(* (/ 1.0 (* (cbrt y) (cbrt y))) (/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0)))
26.0ms
(/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0))

series534.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
172.0ms
(cbrt y)
80.0ms
(* (/ 1.0 (* (cbrt y) (cbrt y))) (/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0)))
110.0ms
(/ (/ (/ 1 x) (cbrt y)) (fma z z 1.0))

simplify1.5s

Counts
707 → 707
Iterations

Useful iterations: done (1.5s)

IterNodesCost
096917316
1311715519
done500015511

prune1.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))
1.8b
(* (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))))
3.4b
(* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0)))

rewrite408.0ms

Algorithm
rewrite-expression-head
Rules
1674×times-frac
895×cbrt-prod
805×add-sqr-sqrt
778×*-un-lft-identity
776×add-cube-cbrt
305×associate-*r*
138×add-exp-log
100×associate-/l*
82×add-cbrt-cube
64×prod-exp cbrt-unprod
52×div-inv
41×cbrt-undiv div-exp
24×cbrt-div
22×frac-times
18×pow1
16×associate-*r/ associate-*l/
10×unswap-sqr
9×pow-prod-down
8×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 → 857
Calls
4 calls:
1.0ms
(cbrt y)
32.0ms
(/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))
161.0ms
(* (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))))
132.0ms
(* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
92.0ms
(/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))
58.0ms
(* (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0))))
127.0ms
(* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ (/ (cbrt (/ 1 x)) (cbrt y)) (fma z z 1.0)))

simplify2.3s

Counts
869 → 869
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0119324471
1371422236
done500122211

prune2.6s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.1b

regimes182.0ms

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 (0.0ms)

IterNodesCost
01630
12030
done2030

end0.0ms

sample436.0ms

Algorithm
intervals
Results
256.0ms8683×body80valid