Details

Time bar (total: 12.4s)

sample23.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify756.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (52.0ms)

IterNodesCost
099
1169
2329
3679
41489
52448
63298
74108
84778
96048
106208
done6208

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
5.4b
(fma (/ (- t z) a) y x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series80.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (- t z) a)
53.0ms
(fma (/ (- t z) a) y x)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 4 (682.0ms)

IterNodesCost
095558
1194536
2432500
31086490
43091489
done5000489

prune164.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
5.4b
(fma (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ a (cbrt (- t z)))) y x)

rewrite8.0ms

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:
2.0ms
(cbrt (- t z))
2.0ms
(cbrt (- t z))
2.0ms
(cbrt (- t z))
0.0ms
(fma (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ a (cbrt (- t z)))) y x)

series542.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- t z))
164.0ms
(cbrt (- t z))
162.0ms
(cbrt (- t z))
53.0ms
(fma (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ a (cbrt (- t z)))) y x)

simplify1.5s

Counts
73 → 73
Iterations

Useful iterations: 4 (626.0ms)

IterNodesCost
095873
1193855
2414705
3974632
43059590
done5001590

prune306.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.4b
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (cbrt (/ (- t z) a))) y x)
9.7b
(cbrt (/ (- t z) a))
9.7b
(cbrt (/ (- t z) a))
9.7b
(cbrt (/ (- t z) a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 100
Calls
4 calls:
0.0ms
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (cbrt (/ (- t z) a))) y x)
4.0ms
(cbrt (/ (- t z) a))
4.0ms
(cbrt (/ (- t z) a))
4.0ms
(cbrt (/ (- t z) a))

series580.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (cbrt (/ (- t z) a))) y x)
176.0ms
(cbrt (/ (- t z) a))
159.0ms
(cbrt (/ (- t z) a))
166.0ms
(cbrt (/ (- t z) a))

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
01411723
12531666
25101449
312801376
441981313
done50001313

prune478.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (/ (cbrt (- t z)) a))
5.4b
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (/ (cbrt (- t z)) a)))) y x)
9.7b
(cbrt (/ (- t z) a))
9.7b
(cbrt (/ (- t z) a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
55×add-sqr-sqrt *-un-lft-identity
54×times-frac
37×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 109
Calls
4 calls:
4.0ms
(cbrt (/ (cbrt (- t z)) a))
0.0ms
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (/ (cbrt (- t z)) a)))) y x)
3.0ms
(cbrt (/ (- t z) a))
4.0ms
(cbrt (/ (- t z) a))

series731.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt (/ (cbrt (- t z)) a))
79.0ms
(fma (* (* (cbrt (/ (- t z) a)) (cbrt (/ (- t z) a))) (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (/ (cbrt (- t z)) a)))) y x)
183.0ms
(cbrt (/ (- t z) a))
179.0ms
(cbrt (/ (- t z) a))

simplify1.2s

Counts
121 → 121
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02492104
14452034
29541924
326181877
done50001871

prune593.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

94.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01841
12234
done2234

end0.0ms

sample618.0ms

Algorithm
intervals
Results
302.0ms10607×body80valid