Details

Time bar (total: 12.9s)

sample43.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify863.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (335.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.0b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
3.6b
(/ (* y t) z)

rewrite54.0ms

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:
22.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
29.0ms
(/ (* y t) z)

series196.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
121.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
24.0ms
(/ (* y t) z)

simplify911.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
0125985
1279959
21162864
done5000864

prune425.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
1.0b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
6.2b
(/ y (/ z t))

rewrite51.0ms

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:
34.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
12.0ms
(/ y (/ z t))

series173.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
91.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
32.0ms
(/ y (/ z t))

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02241679
15311609
222091490
done50011484

prune670.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
0.5b
(/ 1 (/ (/ z t) y))
1.0b
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
6.2b
(/ (/ z t) y)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube
19×div-exp associate-/l*
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num associate-/r/
1×flip3-- pow-flip flip-- fma-udef associate-/l/ inv-pow
Counts
4 → 315
Calls
4 calls:
94.0ms
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
20.0ms
(/ 1 (/ (/ z t) y))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
17.0ms
(/ (/ z t) y)

series179.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
28.0ms
(/ 1 (/ (/ z t) y))
76.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
28.0ms
(/ (/ z t) y)

simplify1.0s

Counts
327 → 327
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04975372
113944680
done50014412

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
6.2b
(/ y (/ z t))
6.2b
(/ y (/ z t))
6.2b
(/ y (/ z t))

rewrite75.0ms

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)
16.0ms
(/ y (/ z t))
16.0ms
(/ y (/ z t))
15.0ms
(/ y (/ z t))

series207.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
32.0ms
(/ y (/ z t))
36.0ms
(/ y (/ z t))
39.0ms
(/ y (/ z t))

simplify943.0ms

Counts
238 → 238
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
01692885
14052732
217722546
done50002528

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

regimes446.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
11917
done1917

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8000×body80valid