Details

Time bar (total: 12.1s)

sample23.0ms

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

simplify806.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
01215
13114
28612
323611
456711
5100411
6117111
7118511
done118511

prune5.0ms

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))

rewrite970.0ms

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:
70.0ms
(+ (+ (+ y z) z) y)
645.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
16.0ms
(+ (+ y z) z)
236.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series158.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (+ (+ y z) z) y)
42.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms
(+ (+ y z) z)
60.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify530.0ms

Counts
101 → 101
Iterations

Useful iterations: done (528.0ms)

IterNodesCost
01381169
1409970
21531847
done5000831

prune240.0ms

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
(+ (fma 2 z y) y)
0.0b
(* x (+ (+ (fma 2 z y) y) t))
0.0b
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×add-cube-cbrt
5×pow1 add-exp-log associate-*r* add-cbrt-cube
4×fma-def distribute-lft-out
3×expm1-log1p-u associate-+l+ flip3-+ associate-*l* flip-+ log1p-expm1-u
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ (fma 2 z y) y)
38.0ms
(* x (+ (+ (fma 2 z y) y) t))
15.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

series137.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (fma 2 z y) y)
47.0ms
(* x (+ (+ (fma 2 z y) y) t))
59.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

simplify479.0ms

Counts
69 → 69
Iterations

Useful iterations: done (476.0ms)

IterNodesCost
0111900
1326819
21236706
done5000691

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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

series1.5s

Counts
4 → 12
Calls
4 calls:
465.0ms
(* (cbrt (fma x (+ (* (+ z y) 2) t) (* y 5.0))) (cbrt (fma x (+ (* (+ z y) 2) t) (* y 5.0))))
351.0ms
(cbrt (fma x (+ (* (+ z y) 2) t) (* y 5.0)))
349.0ms
(cbrt (fma x (+ (* (+ z y) 2) t) (* y 5.0)))
342.0ms
(cbrt (fma x (+ (* (+ z y) 2) t) (* y 5.0)))

simplify1.8s

Counts
93 → 93
Iterations

Useful iterations: 3 (381.0ms)

IterNodesCost
01172416
12482125
28011940
333771622
done50001622

prune382.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:
9.0ms
(* (cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0)))) (cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0)))))
1.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))
1.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))
1.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
466.0ms
(* (cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0)))) (cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0)))))
347.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))
347.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))
338.0ms
(cbrt (cbrt (fma x (fma (+ z y) 2 t) (* y 5.0))))

simplify1.8s

Counts
116 → 116
Iterations

Useful iterations: 3 (426.0ms)

IterNodesCost
01353306
12673151
28192918
333032496
done50012496

prune505.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes223.0ms

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
01214
11714
done1714

end0.0ms

sample618.0ms

Algorithm
intervals
Results
317.0ms10578×body80valid
12.0ms112×body640valid
10.0ms76×body1280valid
6.0ms70×body320valid
2.0ms43×body160valid