Details

Time bar (total: 20.8s)

sample43.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (396.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.5b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
4.8b
(/ (* y t) z)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
6×associate-/r*
4×associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/ div-inv
1×flip3-- prod-exp flip-- cbrt-unprod fma-udef
Counts
3 → 64
Calls
3 calls:
27.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
17.0ms
(/ (* y t) z)

series220.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
112.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
42.0ms
(/ (* y t) z)

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
0125985
1279959
21162864
done5000864

prune556.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
1.5b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
4.4b
(/ y (/ z t))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×flip3-- flip-- fma-udef
Counts
3 → 113
Calls
3 calls:
58.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
14.0ms
(/ y (/ z t))

series220.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
127.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
32.0ms
(/ y (/ z t))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02241679
15311609
222091490
done50011484

prune870.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))
0.6b
(/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t))))
1.5b
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))) y x)
4.4b
(/ y (/ z t))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
92×add-sqr-sqrt
76×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
24×associate-*r*
16×add-exp-log associate-/r* add-cbrt-cube
9×associate-/l*
7×div-inv
6×pow1 associate-*l* unswap-sqr
5×cbrt-undiv div-exp associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod
1×associate-*r/ pow-prod-down *-commutative fma-udef
Counts
4 → 177
Calls
4 calls:
145.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))
76.0ms
(/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t))))
0.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))) y x)
15.0ms
(/ y (/ z t))

series666.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))
135.0ms
(/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t))))
287.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))) y x)
41.0ms
(/ y (/ z t))

simplify5.0s

Counts
189 → 189
Iterations

Useful iterations: done (5.0s)

IterNodesCost
02793150
16933005
245532645
done50012630

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize68.0ms

Local error

Found 4 expressions with local error:

1.5b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
4.4b
(/ y (/ z t))
4.4b
(/ y (/ z t))
4.4b
(/ y (/ z t))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
130×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×associate-/r*
19×add-exp-log add-cbrt-cube
15×div-inv
9×cbrt-undiv div-exp associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/
1×fma-udef
Counts
4 → 226
Calls
4 calls:
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
17.0ms
(/ y (/ z t))
18.0ms
(/ y (/ z t))
19.0ms
(/ y (/ z t))

series268.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
40.0ms
(/ y (/ z t))
47.0ms
(/ y (/ z t))
38.0ms
(/ y (/ z t))

simplify1.6s

Counts
238 → 238
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01692885
14052732
217722546
done50002528

prune3.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes753.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.6s

Algorithm
intervals
Results
1000.0ms8000×body80valid