Details

Time bar (total: 10.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms339×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 (/ y z) y x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ y z) y x)

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
019110
128107
26395
314495
441695
5136395
6403795
done500095

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
10.7b
(/ (* y y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ x (/ (* y y) z))
4.0ms
(/ (* y y) z)

series58.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (* y y) z))
21.0ms
(/ (* y y) z)

simplify1.9s

Counts
46 → 46
Iterations

Useful iterations: 3 (537.0ms)

IterNodesCost
071387
1173362
2513324
32380309
done5001309

prune109.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (/ z y)))
0.1b
(/ y (/ z y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
47×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv fma-def div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out
Counts
2 → 89
Calls
2 calls:
18.0ms
(+ x (/ y (/ z y)))
5.0ms
(/ y (/ z y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (/ y (/ z y)))
24.0ms
(/ y (/ z y))

simplify1.8s

Counts
95 → 95
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
01701081
1388996
21277909
done5000909

prune258.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ z y) y)))
0.2b
(/ (/ z y) y)
0.8b
(/ 1 (/ (/ z y) y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
233×*-un-lft-identity
230×add-sqr-sqrt add-cube-cbrt
46×associate-/r*
29×add-exp-log
23×div-inv
18×div-exp
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log associate-/r/ flip-+ associate-/l/ inv-pow
Counts
3 → 292
Calls
3 calls:
52.0ms
(+ x (/ 1 (/ (/ z y) y)))
10.0ms
(/ (/ z y) y)
14.0ms
(/ 1 (/ (/ z y) y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ 1 (/ (/ z y) y)))
26.0ms
(/ (/ z y) y)
30.0ms
(/ 1 (/ (/ z y) y))

simplify1.6s

Counts
301 → 301
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04394707
110643882
219633235
done50003206

prune753.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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
177
done77

end0.0ms

sample466.0ms

Algorithm
intervals
Results
241.0ms10625×body80valid