Details

Time bar (total: 4.9s)

sample82.0ms

Algorithm
intervals
Results
33.0ms93×body1280valid
15.0ms75×body640valid
11.0ms270×body80valid
5.0ms39×body320valid
2.0ms18×body160valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- im)) (exp im))
0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt associate-*r* add-log-exp
3×fma-def pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 42
Calls
2 calls:
19.0ms
(+ (exp (- im)) (exp im))
60.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- im)) (exp im))
63.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify38.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0258374
11276311
25002307
done5002307

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×fma-def
6×times-frac
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*r* pow-prod-down associate-/r* log1p-expm1-u div-inv
2×cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
3 → 64
Calls
3 calls:
27.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
26.0ms
(* (* 0.5 (cos re)) (exp im))
13.0ms
(/ (* 0.5 (cos re)) (exp im))

series163.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
36.0ms
(* (* 0.5 (cos re)) (exp im))
42.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify51.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0297490
11687421
25001416
done5001416

prune166.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp (- im)) 3)
0.1b
(pow (exp im) 3)
0.3b
(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
5.3b
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-/r/
18×frac-add
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×exp-neg pow-pow add-cbrt-cube
13×add-exp-log neg-sub0 exp-prod exp-diff
10×flip3-- flip--
8×frac-times
6×pow1 unpow-prod-down pow-unpow cube-prod associate-*r/ add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×cbrt-undiv distribute-lft-neg-in distribute-rgt-neg-in times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×cube-div cube-mult pow-to-exp flip3-+ unpow3 pow-exp un-div-inv flip-+ associate-/l/ rem-cube-cbrt sqr-pow
1×neg-mul-1 sub-neg distribute-rgt-out-- frac-2neg fma-neg diff-log prod-diff clear-num div-inv associate-/l*
Counts
4 → 129
Calls
4 calls:
8.0ms
(pow (exp (- im)) 3)
5.0ms
(pow (exp im) 3)
194.0ms
(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
17.0ms
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (exp (- im)) 3)
23.0ms
(pow (exp im) 3)
222.0ms
(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
45.0ms
(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify246.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
09292196
149551695
250011676
done50011676

prune419.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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
0129
1129
done129

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s2955×body1280valid
524.0ms2482×body640valid
366.0ms8426×body80valid
165.0ms1220×body320valid
58.0ms659×body160valid