Details

Time bar (total: 21.4s)

sample200.0ms

Algorithm
intervals
Results
63.0ms86×body1280valid
36.0ms73×body640valid
33.0ms22×body160valid
31.0ms289×body80valid
15.0ms44×body320valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5036
83628
72011
61040
5510
4239
3129
262
127
011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
0.1b
(/ 0.5 (exp im))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube
5×add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
2 → 51
Calls
2 calls:
18.0ms
(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
366.0ms
(/ 0.5 (exp im))

series138.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
34.0ms
(/ 0.5 (exp im))

simplify2.2s

Counts
57 → 57
Iterations
IterNodes
done5014
32387
2627
1223
0106

prune281.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
0.0b
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
0.1b
(/ 0.5 (exp im))
0.1b
(/ 0.5 (exp im))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube
6×pow1 associate-/r* add-exp-log sqrt-prod associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
1.0ms
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
5.0ms
(/ 0.5 (exp im))
6.0ms
(/ 0.5 (exp im))

series236.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
100.0ms
(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
25.0ms
(/ 0.5 (exp im))
14.0ms
(/ 0.5 (exp im))

simplify2.7s

Counts
104 → 104
Iterations
IterNodes
done5000
44076
31085
2409
1176
092

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sin re))
0.0b
(sqrt (sin re))
0.1b
(/ 0.5 (exp im))
0.3b
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sqrt (sin re))) (sqrt (sin re)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
11×pow1 add-cbrt-cube
10×add-exp-log
9×times-frac sqrt-prod
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (sin re))
3.0ms
(sqrt (sin re))
8.0ms
(/ 0.5 (exp im))
27.0ms
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sqrt (sin re))) (sqrt (sin re)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (sin re))
27.0ms
(sqrt (sin re))
14.0ms
(/ 0.5 (exp im))
114.0ms
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sqrt (sin re))) (sqrt (sin re)))

simplify2.3s

Counts
98 → 98
Iterations
IterNodes
done5009
33359
2976
1308
0132

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.6s2921×body1280valid
1.8s2517×body640valid
1.7s8462×body80valid
410.0ms1192×body320valid
140.0ms646×body160valid