Details

Time bar (total: 14.9s)

sample57.0ms

Algorithm
intervals
Results
14.0ms274×body80valid
13.0ms279×body80nan

simplify193.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512210
613610
714810
done14810

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite20.0ms

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:
8.0ms
(+ x (* y (sqrt z)))
11.0ms
(* y (sqrt z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* y (sqrt z)))
69.0ms
(* y (sqrt z))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 3 (958.0ms)

IterNodesCost
086362
1228323
2760297
33921288
done5001288

prune114.0ms

Pruning

7 alts after pruning (6 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)))

rewrite84.0ms

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:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
14.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(sqrt (sqrt z))
195.0ms
(sqrt (sqrt z))
106.0ms
(* y (sqrt (sqrt z)))
49.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts
100 → 100
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0132915
1355716
21743661
done5001640

prune437.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
38×add-sqr-sqrt
29×unpow-prod-down
27×*-un-lft-identity
26×add-cube-cbrt associate-*r*
20×times-frac
19×prod-exp sqrt-prod
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
5×unswap-sqr
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp sqr-pow
2×rem-sqrt-square pow1/2 *-commutative div-inv
1×pow-flip pow-prod-down inv-pow
Counts
4 → 119
Calls
4 calls:
10.0ms
(pow (/ 1 z) -1/4)
2.0ms
(sqrt (sqrt z))
32.0ms
(* y (pow (/ 1 z) -1/4))
67.0ms
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series688.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(pow (/ 1 z) -1/4)
228.0ms
(sqrt (sqrt z))
82.0ms
(* y (pow (/ 1 z) -1/4))
106.0ms
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.7s

Counts
131 → 131
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02341478
16601265
226971181
done50031151

prune548.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
0.3b
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
53.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
150.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
348.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
304.0ms
(cbrt z)
303.0ms
(cbrt z)

simplify1.7s

Counts
88 → 88
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01661275
14291131
222661006
done5001967

prune496.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes424.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample2.4s

Algorithm
intervals
Results
623.0ms8713×body80nan
531.0ms8510×body80valid