Details

Time bar (total: 18.6s)

sample35.0ms

Algorithm
intervals
Results
18.0ms505×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.7b
(/ (* z z) (* t t))

rewrite6.0ms

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)))
5.0ms
(/ (* z z) (* t t))

series144.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
31.0ms
(/ (* z z) (* t t))

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (750.0ms)

IterNodesCost
066517
1169509
2631379
34787364
done5000364

prune122.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ z (/ t z))
0.2b
(fma (/ x y) (/ x y) (/ (/ z (/ t z)) t))
4.0b
(/ (/ z (/ t z)) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r*
9×cbrt-undiv div-exp
5×associate-/r/
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
3 → 280
Calls
3 calls:
5.0ms
(/ z (/ t z))
0.0ms
(fma (/ x y) (/ x y) (/ (/ z (/ t z)) t))
18.0ms
(/ (/ z (/ t z)) t)

series166.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ z (/ t z))
111.0ms
(fma (/ x y) (/ x y) (/ (/ z (/ t z)) t))
30.0ms
(/ (/ z (/ t z)) t)

simplify2.4s

Counts
289 → 289
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
04704606
111124289
243663940
done50013940

prune764.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(/ (/ (cbrt z) (/ (cbrt t) z)) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1371×times-frac
637×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
489×cbrt-prod
137×associate-/l*
29×div-inv
13×add-exp-log
10×add-cbrt-cube
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 609
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
41.0ms
(/ (/ (cbrt z) (/ (cbrt t) z)) t)

series747.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
213.0ms
(cbrt z)
205.0ms
(cbrt z)
124.0ms
(/ (/ (cbrt z) (/ (cbrt t) z)) t)

simplify1.7s

Counts
621 → 621
Iterations

Useful iterations: 1 (1.1s)

IterNodesCost
097612849
1238311879
done500011879

prune2.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (* (cbrt z) (cbrt z)) (/ (/ (cbrt z) (/ t z)) t))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
656×times-frac
315×add-sqr-sqrt
298×add-cube-cbrt *-un-lft-identity
253×associate-*r*
128×cbrt-prod
36×add-exp-log
24×add-cbrt-cube
22×div-inv
12×cbrt-undiv div-exp prod-exp cbrt-unprod
9×pow1
6×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-/r/
1×associate-*r/ associate-*l* *-commutative
Counts
4 → 328
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
98.0ms
(* (* (cbrt z) (cbrt z)) (/ (/ (cbrt z) (/ t z)) t))

series692.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt z)
210.0ms
(cbrt z)
216.0ms
(cbrt z)
56.0ms
(* (* (cbrt z) (cbrt z)) (/ (/ (cbrt z) (/ t z)) t))

simplify2.9s

Counts
340 → 340
Iterations

Useful iterations: done (2.8s)

IterNodesCost
06985984
125385387
done50005363

prune1.6s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.2b

regimes260.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
11628
done1628

end0.0ms

sample973.0ms

Algorithm
intervals
Results
568.0ms15534×body80valid