Details

Time bar (total: 9.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x y) (* z t))
6.7b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series92.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x y) (* z t))
52.0ms
(/ (- (* x y) (* z t)) a)

simplify1.0s

Counts
54 → 54
Iterations

Useful iterations: done (1.0s)

IterNodesCost
088706
1219679
2667628
32177628
done5000626

prune169.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ (* x y) a)
5.2b
(/ (* t z) a)

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
2 → 46
Calls
2 calls:
3.0ms
(/ (* x y) a)
203.0ms
(/ (* t z) a)

series40.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* x y) a)
21.0ms
(/ (* t z) a)

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
090396
1212382
2748322
33539322
done5001322

prune132.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.6b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.1b
(/ (* x y) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*l*
pow1 unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
associate-/r* div-inv
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 110
Calls
4 calls:
4.0ms
(cbrt a)
1.0ms
(cbrt a)
24.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
3.0ms
(/ (* x y) a)

series451.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt a)
192.0ms
(cbrt a)
51.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
21.0ms
(/ (* x y) a)

simplify974.0ms

Counts
122 → 122
Iterations

Useful iterations: done (971.0ms)

IterNodesCost
01871384
15291331
22204999
done5001991

prune380.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x y) (* z t))
6.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
14.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series93.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
53.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0114890
1292791
2900682
33399682
done5001681

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

90.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02567
13550
done3550

end0.0ms

sample651.0ms

Algorithm
intervals
Results
321.0ms11091×body80valid