Details

Time bar (total: 14.5s)

sample43.0ms

Algorithm
intervals
Results
18.0ms415×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×sum-log
6×fma-def
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
2 → 37
Calls
2 calls:
63.0ms
(+ (+ (* x y) (* z z)) (* z z))
202.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series136.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (+ (* x y) (* z z)) (* z z))
67.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.6s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
060681
1174519
2652448
33117382
done5000382

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×fma-def sum-log
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 18
Calls
1 calls:
52.0ms
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

simplify2.2s

Counts
21 → 21
Iterations

Useful iterations: done (2.2s)

IterNodesCost
040333
1127296
2491213
32421197
done5000194

prune64.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.6b
(cbrt (+ (* x y) (* z z)))
3.6b
(cbrt (+ (* x y) (* z z)))
3.6b
(cbrt (+ (* x y) (* z z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
46.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
5.0ms
(cbrt (+ (* x y) (* z z)))
5.0ms
(cbrt (+ (* x y) (* z z)))
5.0ms
(cbrt (+ (* x y) (* z z)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
210.0ms
(cbrt (+ (* x y) (* z z)))
205.0ms
(cbrt (+ (* x y) (* z z)))
200.0ms
(cbrt (+ (* x y) (* z z)))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01232080
12941743
28011616
319961454
done50001422

prune558.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
3.6b
(cbrt (fma 2 (* z z) (* x y)))
3.6b
(cbrt (fma 2 (* z z) (* x y)))
3.6b
(cbrt (fma 2 (* z z) (* x y)))

rewrite25.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
19.0ms
(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
2.0ms
(cbrt (fma 2 (* z z) (* x y)))
1.0ms
(cbrt (fma 2 (* z z) (* x y)))
1.0ms
(cbrt (fma 2 (* z z) (* x y)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
193.0ms
(cbrt (fma 2 (* z z) (* x y)))
193.0ms
(cbrt (fma 2 (* z z) (* x y)))
152.0ms
(cbrt (fma 2 (* z z) (* x y)))

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01011742
12091617
25151481
312191268
431671222
done50001160

prune364.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes329.0ms

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
01013
11413
done1413

end0.0ms

sample871.0ms

Algorithm
intervals
Results
397.0ms12229×body80valid