Details

Time bar (total: 12.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.5s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
1.3b
(fma (/ t z) (- (/ y 2.0)) z)
5.0b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
13.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
5.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series188.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
53.0ms
(fma (/ t z) (- (/ y 2.0)) z)
81.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: 3 (929.0ms)

IterNodesCost
01874444
14153973
210512947
337252300
done50012300

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
0.6b
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
1.3b
(fma (/ t z) (- (/ y 2.0)) z)
4.8b
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
218×add-sqr-sqrt
209×*-un-lft-identity
204×add-cube-cbrt
132×prod-diff
19×div-inv
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×associate-/l* add-log-exp
5×pow1 difference-of-squares
4×cbrt-undiv expm1-log1p-u associate-/r/ log1p-expm1-u
3×fma-neg
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- fma-udef inv-pow
Counts
4 → 273
Calls
4 calls:
30.0ms
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
9.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
5.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

series357.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
159.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
51.0ms
(fma (/ t z) (- (/ y 2.0)) z)
68.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

simplify1.2s

Counts
285 → 285
Iterations

Useful iterations: done (1.1s)

IterNodesCost
050016534
1119914044
2216610336
done50018554

prune399.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
0.6b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
52×*-un-lft-identity
48×add-cube-cbrt prod-diff
38×times-frac
12×associate-/r/
6×add-exp-log
5×flip3-- flip-- div-inv
4×associate-*r/ frac-sub add-cbrt-cube add-log-exp
3×pow1 fma-neg associate-/r* associate-/l* difference-of-squares
2×expm1-log1p-u div-exp log1p-expm1-u distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num inv-pow
Counts
2 → 106
Calls
2 calls:
53.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
25.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series63.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
31.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02105289
15104406
211033144
338142647
done50002646

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
14.3b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
14.3b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
14.3b
(cbrt (- (/ z y) (* 0.5 (/ t z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
15×add-exp-log associate-/r/
14×associate-*r/
12×pow1
11×flip3-- frac-sub flip--
9×cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt pow-flip *-un-lft-identity pow1/3
7×add-cbrt-cube
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×times-frac associate-*l/ prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 100
Calls
4 calls:
69.0ms
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
13.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
10.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
11.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
93.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
93.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
94.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

simplify1.3s

Counts
112 → 112
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01662264
13492109
28051930
322771854
done50011824

prune372.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes134.0ms

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
01213
11513
done1513

end0.0ms

sample567.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid