Details

Time bar (total: 13.1s)

sample52.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (388.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.6b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
4.3b
(/ (* y t) z)

rewrite40.0ms

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:
19.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
18.0ms
(/ (* y t) z)

series183.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
109.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
25.0ms
(/ (* y t) z)

simplify824.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
0125985
1279959
21162864
done5000864

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
0.6b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
5.1b
(/ 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:
37.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
9.0ms
(/ y (/ z t))

series133.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
73.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
22.0ms
(/ y (/ z t))

simplify1.2s

Counts
122 → 122
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02241679
15311609
222091490
done50011484

prune536.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ y (/ z t))
11.2b
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
11.2b
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
11.2b
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
67×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×cbrt-prod
13×associate-/r*
9×add-exp-log add-cbrt-cube
8×div-inv
7×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div flip3-- pow1/3 div-exp flip-- associate-/l*
1×frac-2neg clear-num
Counts
4 → 150
Calls
4 calls:
14.0ms
(/ y (/ z t))
24.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
22.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
36.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ y (/ z t))
229.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
238.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
281.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))

simplify1.4s

Counts
162 → 162
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02492812
15692694
221112570
done50012550

prune989.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize59.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ y (/ z t))
11.2b
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
11.2b
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
11.2b
(cbrt (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
73×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
54×cbrt-prod
13×associate-/r*
9×add-exp-log sqrt-prod add-cbrt-cube
8×div-inv
7×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div flip3-- pow1/3 div-exp flip-- associate-/l*
1×frac-2neg clear-num
Counts
4 → 159
Calls
4 calls:
9.0ms
(/ y (/ z t))
17.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
17.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
40.0ms
(cbrt (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ y (/ z t))
261.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
264.0ms
(cbrt (/ 2.0 (- (* z 2.0) (/ y (/ z t)))))
384.0ms
(cbrt (/ (sqrt 2.0) (- (* z 2.0) (/ y (/ z t)))))

simplify1.5s

Counts
171 → 171
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03273128
16932990
224132864
done50012844

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes276.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.3s

Algorithm
intervals
Results
825.0ms8000×body80valid