Details

Time bar (total: 18.1s)

sample51.0ms

Algorithm
intervals
Results
24.0ms392×body80valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
23.0ms
(* 3 (* z z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* 3 (* z z))

simplify5.7s

Counts
24 → 24
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
036174
182161
2206141
3447135
4643135
51405135
63875135
done5001135

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b
(* z (* 3 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
21.0ms
(* z (* 3 z))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* z (* 3 z))

simplify3.8s

Counts
23 → 23
Iterations

Useful iterations: 5 (1.4s)

IterNodesCost
036166
186157
2240133
3462127
4679127
51458126
done5000126

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* 3 z))
0.3b
(* (sqrt (* z (* 3 z))) (sqrt (* z (* 3 z))))
19.7b
(sqrt (* z (* 3 z)))
19.7b
(sqrt (* z (* 3 z)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod
associate-*r*
expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
17.0ms
(* z (* 3 z))
108.0ms
(* (sqrt (* z (* 3 z))) (sqrt (* z (* 3 z))))
20.0ms
(sqrt (* z (* 3 z)))
14.0ms
(sqrt (* z (* 3 z)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* z (* 3 z))
81.0ms
(* (sqrt (* z (* 3 z))) (sqrt (* z (* 3 z))))
49.0ms
(sqrt (* z (* 3 z)))
39.0ms
(sqrt (* z (* 3 z)))

simplify2.6s

Counts
128 → 128
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0861168
1170774
2501697
31889606
done5000579

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (pow z 2))
0.3b
(* (sqrt (* z (* 3 z))) (sqrt (* 3 (pow z 2))))
19.7b
(sqrt (* z (* 3 z)))
19.7b
(sqrt (* 3 (pow z 2)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
17×add-sqr-sqrt
12×associate-*r*
11×add-exp-log pow-prod-down
10×sqrt-pow1
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
associate-*l*
unswap-sqr
expm1-log1p-u unpow-prod-down pow1/2 prod-exp sqrt-prod log1p-expm1-u add-log-exp
*-commutative cbrt-unprod unpow2 sqr-pow
pow-to-exp sqrt-unprod pow-exp
Counts
4 → 82
Calls
4 calls:
13.0ms
(* 3 (pow z 2))
67.0ms
(* (sqrt (* z (* 3 z))) (sqrt (* 3 (pow z 2))))
14.0ms
(sqrt (* z (* 3 z)))
6.0ms
(sqrt (* 3 (pow z 2)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3 (pow z 2))
74.0ms
(* (sqrt (* z (* 3 z))) (sqrt (* 3 (pow z 2))))
36.0ms
(sqrt (* z (* 3 z)))
41.0ms
(sqrt (* 3 (pow z 2)))

simplify2.5s

Counts
94 → 94
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0100915
1198825
2438617
31570561
done5000542

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

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
078
198
done98

end0.0ms

sample1.5s

Algorithm
intervals
Results
868.0ms12209×body80valid