Details

Time bar (total: 15.9s)

sample133.0ms

Algorithm
intervals
Results
69.0ms103×body1280valid
17.0ms72×body640valid
14.0ms258×body80valid
6.0ms34×body320valid
2.0ms17×body160valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5000
84594
72791
61848
5764
4238
3102
259
123
010

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1
3×expm1-log1p-u associate-/r* associate-*r* associate-*l* log1p-expm1-u associate-/l* add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
0.0ms
(fma (exp im) 0.5 (/ 0.5 (exp im)))
7.0ms
(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
10.0ms
(/ 0.5 (exp im))

series201.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(fma (exp im) 0.5 (/ 0.5 (exp im)))
126.0ms
(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
16.0ms
(/ 0.5 (exp im))

simplify1.8s

Counts
68 → 68
Iterations
IterNodes
done5003
32363
2639
1223
0110

prune401.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 0.5 (exp im))
0.1b
(* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
0.3b
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
0.3b
(cbrt (* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
198×pow1
86×pow-prod-down
59×add-cbrt-cube
58×add-exp-log
39×prod-exp cbrt-unprod
38×pow-prod-up
19×pow-plus
16×pow-sqr
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×pow2 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×associate-*r* associate-*l* pow3 *-commutative
1×cbrt-prod cbrt-undiv clear-num frac-2neg pow1/3 swap-sqr div-exp rem-cbrt-cube div-inv
Counts
4 → 153
Calls
4 calls:
6.0ms
(/ 0.5 (exp im))
105.0ms
(* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
40.0ms
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
88.0ms
(cbrt (* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 0.5 (exp im))
193.0ms
(* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
127.0ms
(* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
84.0ms
(cbrt (* (* (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))

simplify2.0s

Counts
165 → 165
Iterations
IterNodes
done5000
21219
1373
0160

prune643.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.0s3016×body1280valid
1.1s8505×body80valid
1.1s2476×body640valid
667.0ms1284×body320valid
189.0ms646×body160valid