Details

Time bar (total: 4.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044
done13044

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.2b
(fma (/ (- y z) (- a z)) t x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
24.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series151.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y z) (- a z))
93.0ms
(fma (/ (- y z) (- a z)) t x)

simplify66.0ms

Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0258433
1705410
22399410
35001410
done5001410

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
1.2b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
24.0ms
(/ (- a z) (- y z))
28.0ms
(/ 1 (/ (- a z) (- y z)))
0.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series406.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- a z) (- y z))
151.0ms
(/ 1 (/ (- a z) (- y z)))
200.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify78.0ms

Counts
223 → 223
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06201891
127641708
250021537
done50021537

prune424.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.2b
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
8.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
0.0ms
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

series601.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (- a z))
169.0ms
(cbrt (- a z))
172.0ms
(cbrt (- a z))
89.0ms
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

simplify165.0ms

Counts
73 → 73
Iterations

Useful iterations: 4 (159.0ms)

IterNodesCost
0191502
1431459
21214444
34428423
45001420
done5001420

prune295.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) (- y z))
2.0b
(/ t (/ (- a z) (- y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
28.0ms
(/ (- a z) (- y z))
26.0ms
(/ t (/ (- a z) (- y z)))

series227.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- a z) (- y z))
168.0ms
(/ t (/ (- a z) (- y z)))

simplify88.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06421801
128871748
250011745
done50011745

prune523.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01817
11817
done1817

end0.0ms

sample611.0ms

Algorithm
intervals
Results
256.0ms8777×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid