Details

Time bar (total: 20.1s)

sample211.0ms

Algorithm
intervals
Results
92.0ms107×body1280valid
43.0ms79×body640valid
29.0ms263×body80valid
14.0ms29×body160valid
12.0ms30×body320valid

simplify1.0s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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×associate-*l/ insert-posit16 add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
2 → 49
Calls
2 calls:
Slowest
65.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
10.0ms
(/ 0.5 (exp im))

series96.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
79.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
18.0ms
(/ 0.5 (exp im))

simplify985.0ms

Counts
55 → 55

prune676.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
162×add-sqr-sqrt
160×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
8×sqrt-pow1
6×pow1 exp-prod
4×cbrt-undiv div-exp insert-posit16 add-log-exp
2×rem-sqrt-square clear-num frac-2neg pow1/2
1×associate-/l/
Counts
4 → 250
Calls
4 calls:
Slowest
19.0ms
(/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
10.0ms
(/ 0.5 (sqrt (exp im)))
4.0ms
(sqrt (exp im))
4.0ms
(sqrt (exp im))

series114.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
58.0ms
(/ 0.5 (sqrt (exp im)))
29.0ms
(/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
14.0ms
(sqrt (exp im))
13.0ms
(sqrt (exp im))

simplify1.5s

Counts
262 → 262

prune3.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
18×times-frac
15×add-cbrt-cube
14×sqrt-div
13×add-exp-log
12×associate-*l*
11×pow1
10×associate-*l/
7×flip3-+ sqrt-prod flip-+
6×associate-/r* associate-/l*
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ *-commutative div-inv unswap-sqr
Counts
4 → 111
Calls
4 calls:
Slowest
149.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
56.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
8.0ms
(/ 0.5 (exp im))
5.0ms
(/ 0.5 (exp im))

series317.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
158.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
98.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
39.0ms
(/ 0.5 (exp im))
21.0ms
(/ 0.5 (exp im))

simplify1.1s

Counts
123 → 123

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.5s2934×body1280valid
2.1s2455×body640valid
1.3s8618×body80valid
626.0ms1230×body320valid
159.0ms603×body160valid