Details

Time bar (total: 9.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms383×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0815
11515
22513
3389
4469
5479
done479

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize404.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x y) (* 3 (* z z)))
7.0ms
(* 3 (* z z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x y) (* 3 (* z z)))
24.0ms
(* 3 (* z z))

simplify2.7s

Counts
36 → 36
Iterations

Useful iterations: 3 (280.0ms)

IterNodesCost
057370
1163340
2522306
31449294
43696294
done5000294

prune68.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x y) (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series77.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x y) (* (* 3 z) z))
25.0ms
(* (* 3 z) z)

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 3 (612.0ms)

IterNodesCost
059365
1178335
2687301
32463287
done5001287

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (pow z 2)))
0.2b
(* 3 (pow z 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
3.0ms
(+ (* x y) (* 3 (pow z 2)))
6.0ms
(* 3 (pow z 2))

series79.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* x y) (* 3 (pow z 2)))
26.0ms
(* 3 (pow z 2))

simplify1.0s

Counts
44 → 44
Iterations

Useful iterations: 3 (307.0ms)

IterNodesCost
074440
1189394
2538371
31658343
done5000343

prune94.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (pow z 2))
0.3b
(* (sqrt (* 3 (pow z 2))) (sqrt (* 3 (pow z 2))))
19.8b
(sqrt (* 3 (pow z 2)))
19.8b
(sqrt (* 3 (pow z 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
19×add-sqr-sqrt
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
add-cbrt-cube
associate-*l*
sqrt-prod
pow-prod-up unswap-sqr
unpow-prod-down swap-sqr prod-exp add-log-exp
pow-prod-down pow-sqr
*-commutative cbrt-unprod unpow2 sqr-pow
pow2 pow-to-exp pow-plus sqrt-unprod pow-exp rem-square-sqrt
Counts
4 → 85
Calls
4 calls:
6.0ms
(* 3 (pow z 2))
17.0ms
(* (sqrt (* 3 (pow z 2))) (sqrt (* 3 (pow z 2))))
2.0ms
(sqrt (* 3 (pow z 2)))
2.0ms
(sqrt (* 3 (pow z 2)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3 (pow z 2))
71.0ms
(* (sqrt (* 3 (pow z 2))) (sqrt (* 3 (pow z 2))))
39.0ms
(sqrt (* 3 (pow z 2)))
36.0ms
(sqrt (* 3 (pow z 2)))

simplify1.8s

Counts
97 → 97
Iterations

Useful iterations: 3 (757.0ms)

IterNodesCost
093962
1181659
2517598
32403566
done5000566

prune234.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample544.0ms

Algorithm
intervals
Results
304.0ms12243×body80valid