Details

Time bar (total: 13.6s)

sample36.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify960.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (353.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ (* y t) z))
0.2b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.8b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
4.3b
(/ (* y t) z)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
11×add-exp-log add-cbrt-cube
7×prod-diff
6×associate-/r* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp div-inv
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg fma-neg diff-log prod-exp cbrt-unprod fma-udef
Counts
4 → 86
Calls
4 calls:
15.0ms
(- (* z 2.0) (/ (* y t) z))
17.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
19.0ms
(/ (* y t) z)

series232.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* z 2.0) (/ (* y t) z))
56.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
90.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
36.0ms
(/ (* y t) z)

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: 2 (251.0ms)

IterNodesCost
01711491
14231386
221831225
done50001225

prune382.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ y (/ z t)))
0.2b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
0.8b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
3.7b
(/ y (/ z t))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
89×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×prod-diff
16×associate-/r*
11×add-exp-log add-cbrt-cube
10×div-inv
6×associate-/l* add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u
2×flip3-- frac-2neg clear-num flip--
1×sub-neg fma-neg diff-log fma-udef
Counts
4 → 172
Calls
4 calls:
34.0ms
(- (* z 2.0) (/ y (/ z t)))
55.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
19.0ms
(/ y (/ z t))

series260.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* z 2.0) (/ y (/ z t)))
62.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
93.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
32.0ms
(/ y (/ z t))

simplify604.0ms

Counts
184 → 184
Iterations

Useful iterations: done (595.0ms)

IterNodesCost
04514284
112814019
done50003387

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
0.4b
(/ 1 (/ (/ z t) y))
0.8b
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
3.7b
(/ (/ z t) y)

rewrite238.0ms

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:
144.0ms
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
39.0ms
(/ 1 (/ (/ z t) y))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
13.0ms
(/ (/ z t) y)

series216.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))
25.0ms
(/ 1 (/ (/ z t) y))
95.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ 1 (/ (/ z t) y))))) y x)
39.0ms
(/ (/ z t) y)

simplify1.0s

Counts
327 → 327
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
04975372
113944680
done50014412

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (/ z t) y))
0.5b
(/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))
0.8b
(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))) y x)
3.7b
(/ (/ z t) y)

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
367×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
132×sqrt-prod
68×associate-/r*
35×add-exp-log
30×div-inv
23×add-cbrt-cube
22×associate-/l*
21×div-exp
12×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
2×associate-/r/
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
4 → 461
Calls
4 calls:
30.0ms
(/ 1 (/ (/ z t) y))
152.0ms
(/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))
0.0ms
(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))) y x)
19.0ms
(/ (/ z t) y)

series479.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1 (/ (/ z t) y))
171.0ms
(/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))
231.0ms
(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ 1 (/ (/ z t) y))) (sqrt 2.0)))) y x)
34.0ms
(/ (/ z t) y)

simplify1.6s

Counts
473 → 473
Iterations

Useful iterations: done (1.6s)

IterNodesCost
067910989
118959979
done50019581

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes331.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11917
done1917

end0.0ms

sample1.2s

Algorithm
intervals
Results
761.0ms8000×body80valid