Details

Time bar (total: 15.9s)

sample35.0ms

Algorithm
intervals
Results
15.0ms376×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×sum-log
4×fma-def
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 33
Calls
2 calls:
16.0ms
(+ (* x y) (* z z))
166.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x y) (* z z))
71.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.0s

Counts
39 → 39
Iterations

Useful iterations: done (2.0s)

IterNodesCost
060574
1188475
2690400
32839341
done5000340

prune122.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 3 (* z z) (* x y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma 3 (* z z) (* x y))

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
021140
133137
269121
3207121
4706121
53689121
done5000121

prune35.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x y (* z z))) (cbrt (fma x y (* z z))))
2.7b
(cbrt (fma x y (* z z)))
2.7b
(cbrt (fma x y (* z z)))
2.7b
(cbrt (fma x y (* z z)))

rewrite17.0ms

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:
12.0ms
(* (cbrt (fma x y (* z z))) (cbrt (fma x y (* z z))))
1.0ms
(cbrt (fma x y (* z z)))
1.0ms
(cbrt (fma x y (* z z)))
1.0ms
(cbrt (fma x y (* z z)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (fma x y (* z z))) (cbrt (fma x y (* z z))))
145.0ms
(cbrt (fma x y (* z z)))
142.0ms
(cbrt (fma x y (* z z)))
152.0ms
(cbrt (fma x y (* z z)))

simplify2.5s

Counts
93 → 93
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0961410
12121298
25481189
313891048
437111023
done5001965

prune324.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
2.7b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.7b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.7b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite284.0ms

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:
217.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
19.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
19.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
23.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series854.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
189.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
209.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
203.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify2.7s

Counts
107 → 107
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01342956
13132568
28811972
324711695
done50021651

prune593.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes260.0ms

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
188
done88

end0.0ms

sample1.5s

Algorithm
intervals
Results
990.0ms12183×body80valid