Details

Time bar (total: 12.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms337×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: 5.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
11.6b
(/ x (* y y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
add-exp-log fma-neg add-cbrt-cube
div-inv
add-log-exp
associate-/l*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u difference-of-squares
sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
12.0ms
(- (/ x (* y y)) 3.0)
3.0ms
(/ x (* y y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (/ x (* y y)) 3.0)
29.0ms
(/ x (* y y))

simplify2.4s

Counts
74 → 74
Iterations

Useful iterations: 3 (489.0ms)

IterNodesCost
01091039
1238833
2581692
32399629
done5001629

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.1b
(/ (/ x y) y)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/r* difference-of-squares
pow1 expm1-log1p-u log1p-expm1-u
sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 262
Calls
2 calls:
47.0ms
(- (/ (/ x y) y) 3.0)
6.0ms
(/ (/ x y) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (/ (/ x y) y) 3.0)
27.0ms
(/ (/ x y) y)

simplify1.2s

Counts
268 → 268
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03165659
17034303
216773610
done50013391

prune421.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ x y) (/ 1 y) (- 3.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x y) (/ 1 y) (- 3.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ x y) (/ 1 y) (- 3.0))

simplify3.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022148
136148
274108
3227108
4845108
54634108
done5000108

prune41.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
8.8b
(cbrt (/ x y))
8.8b
(cbrt (/ x y))
8.8b
(cbrt (/ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
18.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series339.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
78.0ms
(cbrt (/ x y))
76.0ms
(cbrt (/ x y))
73.0ms
(cbrt (/ x y))

simplify3.0s

Counts
164 → 164
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01651926
12661805
26891725
318531647
437301562
done50011562

prune537.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes118.0ms

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: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample386.0ms

Algorithm
intervals
Results
218.0ms10677×body80valid