Details

Time bar (total: 8.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms362×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize5.0ms

Local error

Found 1 expressions with local error:

8.5b
(/ x (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ x (* y y))

series26.0ms

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

simplify2.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
045197
199194
2303164
31131164
43406164
done5000164

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
6.0ms
(/ (/ x y) y)

series23.0ms

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

simplify634.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
0142874
1319825
21199769
done5001769

prune147.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ y (/ x y))
0.7b
(/ (/ 1 1) (/ y (/ x y)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1976×times-frac
849×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
107×div-inv
67×add-exp-log
57×div-exp associate-/r*
28×add-cbrt-cube
18×cbrt-undiv
16×associate-/r/ associate-/l*
15×1-exp
6×rec-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 742
Calls
2 calls:
5.0ms
(/ y (/ x y))
27.0ms
(/ (/ 1 1) (/ y (/ x y)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ y (/ x y))
18.0ms
(/ (/ 1 1) (/ y (/ x y)))

simplify2.4s

Counts
748 → 748
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0117617513
1352912786
done500111484

prune508.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ y x))
0.7b
(/ (/ (sqrt 1) (sqrt 1)) (/ (* y (/ y x)) 1))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
701×times-frac
297×add-sqr-sqrt
292×add-cube-cbrt *-un-lft-identity
288×sqrt-prod
60×add-exp-log
51×div-inv
40×associate-/l*
39×add-cbrt-cube
38×div-exp
21×cbrt-undiv
13×associate-*r*
10×prod-exp
7×associate-/r*
6×1-exp cbrt-unprod
4×pow1
3×associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative associate-/l/
Counts
2 → 397
Calls
2 calls:
7.0ms
(* y (/ y x))
22.0ms
(/ (/ (sqrt 1) (sqrt 1)) (/ (* y (/ y x)) 1))

series40.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* y (/ y x))
21.0ms
(/ (/ (sqrt 1) (sqrt 1)) (/ (* y (/ y x)) 1))

simplify1.3s

Counts
403 → 403
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05309825
115846097
done50004083

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01115
11413
done1413

end0.0ms

sample379.0ms

Algorithm
intervals
Results
205.0ms10619×body80valid