Details

Time bar (total: 12.9s)

sample24.0ms

Algorithm
intervals
Results
10.0ms330×body80valid
0.0ms5×body320valid
0.0ms2×body1280valid
0.0ms4×body160valid
0.0ms1×body640valid

simplify717.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
01215
13114
28512
323411
455811
597111
6114111
7115511
done115511

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ y z) z) y)
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite973.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
23×distribute-lft-out
20×add-log-exp
10×add-sqr-sqrt fma-def sum-log
8×add-cube-cbrt
7×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-+l+ flip3-+ flip-+ log1p-expm1-u
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
71.0ms
(+ (+ (+ y z) z) y)
647.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms
(+ (+ y z) z)
237.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ (+ y z) z) y)
39.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms
(+ (+ y z) z)
61.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify787.0ms

Counts
101 → 101
Iterations

Useful iterations: done (785.0ms)

IterNodesCost
01381169
1401970
21465847
done5000831

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ y (+ z z)) y)
0.0b
(* x (+ (+ (+ y (+ z z)) y) t))
0.0b
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

rewrite943.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
19×distribute-lft-out
14×add-log-exp
8×add-sqr-sqrt
7×associate-*r* sum-log
6×add-cube-cbrt fma-def
5×pow1 add-exp-log add-cbrt-cube
3×expm1-log1p-u associate-+l+ flip3-+ associate-*l* flip-+ log1p-expm1-u
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 68
Calls
3 calls:
68.0ms
(+ (+ y (+ z z)) y)
642.0ms
(* x (+ (+ (+ y (+ z z)) y) t))
231.0ms
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (+ y (+ z z)) y)
39.0ms
(* x (+ (+ (+ y (+ z z)) y) t))
60.0ms
(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify533.0ms

Counts
77 → 77
Iterations

Useful iterations: done (531.0ms)

IterNodesCost
01191014
1340920
21284792
done5000716

prune186.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))) (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))))
0.5b
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
0.5b
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
0.5b
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))

rewrite9.0ms

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:
6.0ms
(* (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))) (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))))
0.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
0.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
1.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
486.0ms
(* (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))) (cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0))))
360.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
351.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))
347.0ms
(cbrt (fma x (+ (* 2 (+ z y)) t) (* y 5.0)))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (496.0ms)

IterNodesCost
01172416
12512121
27401940
331821622
done50001622

prune398.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))))
0.6b
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
0.6b
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
0.6b
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
12.0ms
(* (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))))
1.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
1.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
1.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
470.0ms
(* (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0)))))
353.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
353.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))
342.0ms
(cbrt (cbrt (fma x (fma 2 (+ z y) t) (* y 5.0))))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: 3 (513.0ms)

IterNodesCost
01353306
12643137
27512918
331152496
done50012496

prune516.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.0b 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
01215
11815
done1815

end0.0ms

sample638.0ms

Algorithm
intervals
Results
340.0ms10578×body80valid
13.0ms112×body640valid
11.0ms76×body1280valid
6.0ms70×body320valid
3.0ms43×body160valid