Details

Time bar (total: 5.7s)

sample114.0ms

Algorithm
intervals
Results
45.0ms98×body1280valid
22.0ms66×body640valid
17.0ms296×body80valid
5.0ms31×body320valid
3.0ms18×body160valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0237
1607
21127
32367
45206
57026
615146
722846
850016
done50016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b
(/ 0.5 (exp im))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1
3×expm1-log1p-u associate-*r* associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
0.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
8.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
6.0ms
(/ 0.5 (exp im))

series132.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
73.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
14.0ms
(/ 0.5 (exp im))

simplify122.0ms

Counts
68 → 68
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0215417
1712366
24318366
35001364
done5001364

prune168.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
0.0b
(/ 0.5 (exp im))
0.0b
(/ 0.5 (exp im))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-cbrt-cube
11×add-exp-log
9×pow1
6×associate-*l* associate-/r* associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×associate-*r* *-commutative fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
29.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
6.0ms
(/ 0.5 (exp im))
6.0ms
(/ 0.5 (exp im))

series140.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
71.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
14.0ms
(/ 0.5 (exp im))
14.0ms
(/ 0.5 (exp im))

simplify113.0ms

Counts
103 → 103
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0250703
1813589
23776589
35001583
done5001583

prune324.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma 0.5 (exp im) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
0.0b
(/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
0.0b
(/ 0.5 (sqrt (exp im)))
0.0b
(/ 0.5 (exp im))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
285×times-frac
166×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
147×sqrt-prod
28×associate-/l*
18×add-cbrt-cube
17×add-exp-log
15×associate-/r*
10×div-inv
9×pow1
6×associate-*l*
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg pow-prod-down prod-exp clear-num cbrt-unprod
1×associate-*r* *-commutative associate-/l/
Counts
4 → 270
Calls
4 calls:
26.0ms
(* (sqrt (fma 0.5 (exp im) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
23.0ms
(/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
7.0ms
(/ 0.5 (sqrt (exp im)))
6.0ms
(/ 0.5 (exp im))

series131.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (sqrt (fma 0.5 (exp im) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
13.0ms
(/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
32.0ms
(/ 0.5 (sqrt (exp im)))
14.0ms
(/ 0.5 (exp im))

simplify66.0ms

Counts
282 → 282
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
07563266
127742805
250012734
done50012734

prune686.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b
(/ 0.5 (exp im))
0.2b
(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
0.3b
(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-cbrt-cube
7×add-exp-log
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 71
Calls
4 calls:
8.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
6.0ms
(/ 0.5 (exp im))
0.0ms
(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
0.0ms
(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
19.0ms
(/ 0.5 (exp im))
113.0ms
(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
109.0ms
(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

simplify132.0ms

Counts
83 → 83
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0253585
1809512
24430501
35001498
done5001498

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11213
done1213

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s3083×body1280valid
523.0ms2533×body640valid
364.0ms8545×body80valid
170.0ms1213×body320valid
58.0ms591×body160valid