Details

Time bar (total: 13.3s)

sample33.0ms

Algorithm
intervals
Results
17.0ms487×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
20.4b
(/ (* z z) (* t t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
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))

series132.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
29.0ms
(/ (* z z) (* t t))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 3 (722.0ms)

IterNodesCost
066517
1169509
2635379
34823364
done5000364

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (/ z t))
0.3b
(fma (/ x y) (/ x y) (/ z (/ t (/ z t))))
4.4b
(/ z (/ t (/ z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
17×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
associate-/r/ associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
fma-udef
Counts
3 → 280
Calls
3 calls:
5.0ms
(/ t (/ z t))
0.0ms
(fma (/ x y) (/ x y) (/ z (/ t (/ z t))))
13.0ms
(/ z (/ t (/ z t)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ t (/ z t))
104.0ms
(fma (/ x y) (/ x y) (/ z (/ t (/ z t))))
29.0ms
(/ z (/ t (/ z t)))

simplify2.8s

Counts
289 → 289
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
04674702
110434315
249173926
done50003926

prune684.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series765.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt t) (cbrt t))
185.0ms
(cbrt t)
187.0ms
(cbrt t)
185.0ms
(cbrt t)

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: 3 (347.0ms)

IterNodesCost
065554
1119443
2383423
31868405
done5000405

prune296.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ z (/ t (cbrt (/ z t))))
10.2b
(cbrt (/ z t))
10.2b
(cbrt (/ z t))
10.2b
(cbrt (/ z t))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
243×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
195×cbrt-prod
53×associate-/r*
20×div-inv
add-exp-log
add-cbrt-cube
cbrt-div
associate-/r/
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp associate-/l*
frac-2neg clear-num
Counts
4 → 304
Calls
4 calls:
15.0ms
(/ z (/ t (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series331.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ z (/ t (cbrt (/ z t))))
68.0ms
(cbrt (/ z t))
75.0ms
(cbrt (/ z t))
75.0ms
(cbrt (/ z t))

simplify1.4s

Counts
316 → 316
Iterations

Useful iterations: 2 (591.0ms)

IterNodesCost
05345350
110944975
241544845
done50004845

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes164.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
done1221

end0.0ms

sample928.0ms

Algorithm
intervals
Results
545.0ms15275×body80valid