Details

Time bar (total: 19.3s)

sample46.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.6s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
2.9b
(fma (/ t z) (- (/ y 2.0)) z)
5.1b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite23.0ms

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))

series233.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
73.0ms
(fma (/ t z) (- (/ y 2.0)) z)
97.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify3.1s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01874444
14153973
210512947
337252300
done50012300

prune341.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
0.5b
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
2.9b
(fma (/ t z) (- (/ y 2.0)) z)
4.8b
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

rewrite67.0ms

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)))
13.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
7.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

series468.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
208.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
91.0ms
(fma (/ t z) (- (/ y 2.0)) z)
84.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

simplify1.6s

Counts
285 → 285
Iterations

Useful iterations: done (1.6s)

IterNodesCost
050016534
1119914044
2216610336
done50018554

prune566.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
67×*-un-lft-identity
63×add-cube-cbrt
61×prod-diff
56×times-frac
16×fma-neg
12×associate-/r/
7×add-exp-log div-inv add-log-exp
6×flip3-- flip--
5×associate-*r/ frac-sub add-cbrt-cube
4×pow1
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* difference-of-squares
2×sub-neg diff-log div-exp distribute-lft-out--
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
3 → 147
Calls
3 calls:
50.0ms
(- (/ z y) (* 0.5 (/ t z)))
73.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
29.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series137.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (/ z y) (* 0.5 (/ t z)))
39.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
50.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify3.7s

Counts
156 → 156
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02595978
16065081
213223749
343873216
done50003216

prune469.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ y (fma (/ t z) (- (/ y 2.0)) z))
15.6b
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
15.6b
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
15.6b
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
10.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))
5.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
10.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
5.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))
275.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
319.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))
292.0ms
(cbrt (/ y (fma (/ t z) (- (/ y 2.0)) z)))

simplify1.4s

Counts
113 → 113
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01602549
12942489
27242358
319892315
done50002237

prune832.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample927.0ms

Algorithm
intervals
Results
481.0ms8000×body80valid