Details

Time bar (total: 15.3s)

sample58.0ms

Algorithm
intervals
Results
14.0ms267×body80valid
12.0ms251×body80nan

simplify212.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512210
613610
714810
done14810

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
9.0ms
(+ x (* y (sqrt z)))
14.0ms
(* y (sqrt z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* y (sqrt z)))
57.0ms
(* y (sqrt z))

simplify2.2s

Counts
39 → 39
Iterations

Useful iterations: 3 (937.0ms)

IterNodesCost
086362
1228323
2760297
33921288
done5001288

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (sqrt z))
4.0ms
(sqrt (sqrt z))
26.0ms
(* y (sqrt (sqrt z)))
69.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(sqrt (sqrt z))
255.0ms
(sqrt (sqrt z))
108.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts
100 → 100
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0132915
1355716
21743661
done5001640

prune586.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 z) -1/4)
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 117
Calls
4 calls:
7.0ms
(pow (/ 1 z) -1/4)
2.0ms
(sqrt (sqrt z))
23.0ms
(* y (sqrt (sqrt z)))
83.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series732.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(pow (/ 1 z) -1/4)
235.0ms
(sqrt (sqrt z))
110.0ms
(* y (sqrt (sqrt z)))
127.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify2.2s

Counts
129 → 129
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02421447
17111234
231361154
done50011141

prune715.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (cbrt z) (cbrt z))
290.0ms
(cbrt z)
284.0ms
(cbrt z)
312.0ms
(cbrt z)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune663.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes576.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample2.2s

Algorithm
intervals
Results
935.0ms8518×body80valid
497.0ms8619×body80nan