Details

Time bar (total: 1.4m)

sample258.0ms

Algorithm
intervals
Results
79.0ms92×body1280valid
72.0ms281×body80valid
69.0ms98×body640valid
14.0ms34×body320valid
5.0ms16×body160valid

simplify209.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
209.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
5×add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 35
Calls
2 calls:
Slowest
14.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
130.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
49.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
19 → 41
Calls
19 calls:
Slowest
250.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
181.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
180.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
179.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
75.0ms
(- (+ (log 0.5) (log (cos re))) im)

prune379.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))))
0.3b
(* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
0.2b
(* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))
0.0b
(/ (* 0.5 (cos re)) (exp im))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
216×add-cbrt-cube
146×add-exp-log
101×prod-exp cbrt-unprod
70×cbrt-undiv div-exp
30×pow1
19×add-sqr-sqrt
18×times-frac
16×*-un-lft-identity add-cube-cbrt
14×associate-*r*
11×frac-times associate-*l/
8×associate-*l*
7×cbrt-div pow-plus swap-sqr associate-*r/ pow-prod-up
6×div-inv
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 associate-/r* pow-sqr
2×pow3 *-commutative unswap-sqr
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube associate-/l*
Counts
4 → 201
Calls
4 calls:
Slowest
136.0ms
(cbrt (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))))
128.0ms
(* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))
33.0ms
(* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
12.0ms
(/ (* 0.5 (cos re)) (exp im))

series326.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(cbrt (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))))
87.0ms
(* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))
81.0ms
(* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
48.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2m

Counts
186 → 213
Calls
186 calls:
Slowest
2.3s
(* (* (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))))
1.9s
(* (* (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))))
1.8s
(* (* (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))))
1.8s
(* (* (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))))
1.8s
(* (* (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))))

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.6s2972×body1280valid
2.1s2506×body640valid
1.4s8553×body80valid
617.0ms1322×body320valid
211.0ms648×body160valid