Details

Time bar (total: 21.5s)

sample54.0ms

Algorithm
intervals
Results
26.0ms474×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
20.6b
(/ (* z z) (* t t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
14.0ms
(/ (* z z) (* t t))

series174.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
34.0ms
(/ (* z z) (* t t))

simplify5.5s

Counts
39 → 39
Iterations

Useful iterations: done (5.5s)

IterNodesCost
066517
1153509
2520379
32009364
done5000354

prune138.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* t (/ t z))
0.2b
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
5.4b
(/ z (* t (/ t z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative fma-udef
Counts
3 → 70
Calls
3 calls:
26.0ms
(* t (/ t z))
1.0ms
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
17.0ms
(/ z (* t (/ t z)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* t (/ t z))
170.0ms
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
41.0ms
(/ z (* t (/ t z)))

simplify3.6s

Counts
79 → 79
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0116821
1264798
2735673
32409647
done5000623

prune289.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ z t) (/ t z))
0.2b
(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
198×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
29×div-inv
14×add-exp-log add-cbrt-cube
13×associate-/r* associate-/l*
8×cbrt-undiv div-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg clear-num associate-/r/ fma-udef associate-/l/
Counts
2 → 227
Calls
2 calls:
19.0ms
(/ (/ z t) (/ t z))
0.0ms
(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ z t) (/ t z))
163.0ms
(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

simplify2.6s

Counts
233 → 233
Iterations

Useful iterations: done (2.6s)

IterNodesCost
04384328
111874030
240273707
done50003611

prune707.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))) (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))))
9.2b
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
9.2b
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
9.2b
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))) (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))) (cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))))
171.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
169.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))
167.0ms
(cbrt (fma (/ x y) (/ x y) (/ (/ z t) (/ t z))))

simplify3.2s

Counts
93 → 93
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0982614
11912425
24772189
312811856
436961827
done50011571

prune388.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes375.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01465
11665
done1665

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.1s15369×body80valid