Details

Time bar (total: 1.6m)

sample204.0ms

Algorithm
intervals
Results
89.0ms105×body1280valid
48.0ms78×body640valid
28.0ms264×body80valid
16.0ms45×body320valid
5.0ms22×body160valid

simplify209.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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
69.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
14.0ms
(/ 0.5 (exp im))

series124.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
101.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
23.0ms
(/ 0.5 (exp im))

simplify2.0s

Counts
43 → 55
Calls
43 calls:
Slowest
411.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
299.0ms
(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
213.0ms
(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
194.0ms
(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (cos re) (cos re)) (cos re)))
149.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))

prune638.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

3.5b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.0b
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
0.0b
(* (* (exp im) 0.5) (* (exp im) 0.5))
0.0b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
89×pow1
44×add-sqr-sqrt
40×times-frac add-cbrt-cube
35×pow-prod-down
32×*-un-lft-identity add-cube-cbrt
28×add-exp-log
20×prod-exp cbrt-unprod
15×swap-sqr associate-*r* associate-*l*
9×pow-sqr pow-prod-up
6×add-log-exp
5×pow-plus
4×cbrt-undiv div-exp insert-posit16 div-inv unswap-sqr
3×pow2 *-commutative
1×frac-times sub-neg flip3-- distribute-rgt-out-- diff-log associate-*l/ associate-*r/ flip--
Counts
4 → 152
Calls
4 calls:
Slowest
88.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
80.0ms
(* (* (exp im) 0.5) (* (exp im) 0.5))
70.0ms
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
21.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
49.0ms
(* (* (exp im) 0.5) (* (exp im) 0.5))
46.0ms
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
45.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
39.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

simplify8.0s

Counts
157 → 164
Calls
157 calls:
Slowest
712.0ms
(* (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))
599.0ms
(* (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)))
536.0ms
(/ (exp (* (* (exp im) 0.5) (* (exp im) 0.5))) (exp (* (/ 0.5 (exp im)) (* (exp im) 0.5))))
492.0ms
(* (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))))
233.0ms
(- (* 0.25 (pow (exp im) 2)) 0.25)

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

3.5b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.0b
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
0.0b
(* (exp im) (exp im))
0.0b
(* (* (exp im) 0.5) (* (exp im) 0.5))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
89×pow1
38×pow-prod-down
30×add-cbrt-cube
20×add-exp-log
18×exp-prod
17×prod-exp cbrt-unprod
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×pow-sqr pow-prod-up
6×add-log-exp
5×pow-plus swap-sqr associate-*r* associate-*l*
4×insert-posit16
3×pow2 *-commutative
1×sub-neg flip3-- distribute-rgt-out-- diff-log flip-- unswap-sqr
Counts
4 → 119
Calls
4 calls:
Slowest
62.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
60.0ms
(* (* (exp im) 0.5) (* (exp im) 0.5))
55.0ms
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
26.0ms
(* (exp im) (exp im))

series143.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
65.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
30.0ms
(* (* 0.5 (exp im)) (* 0.5 (exp im)))
29.0ms
(* (* (exp im) 0.5) (* (exp im) 0.5))
19.0ms
(* (exp im) (exp im))

simplify6.0s

Counts
119 → 131
Calls
119 calls:
Slowest
1.1s
(* (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)))
566.0ms
(* (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))
516.0ms
(/ (exp (* (* (exp im) 0.5) (* (exp im) 0.5))) (exp (* (/ 0.5 (exp im)) (* (exp im) 0.5))))
247.0ms
(+ (* 0.3333333333333333 (pow im 3)) (+ (* 0.5 (pow im 2)) (* 0.5 im)))
240.0ms
(- (* 0.25 (pow (exp im) 2)) 0.25)

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
173×pow1
152×associate-*r/
78×pow-prod-down
61×flip3-+ flip-+
60×frac-times
59×add-cbrt-cube add-exp-log
40×prod-exp cbrt-unprod
34×pow-prod-up
26×cbrt-div
18×associate-*l/
17×distribute-rgt-in distribute-lft-in
12×pow-sqr
8×add-sqr-sqrt
6×*-un-lft-identity pow-plus associate-*r* add-cube-cbrt
5×associate-*l*
4×insert-posit16 add-log-exp
3×pow2 *-commutative
2×cube-unmult
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube div-inv distribute-lft-out unswap-sqr
Counts
4 → 206
Calls
4 calls:
Slowest
540.0ms
(cbrt (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
476.0ms
(* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))))
193.0ms
(* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))
70.0ms
(* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))))
115.0ms
(* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))
111.0ms
(cbrt (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
106.0ms
(* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))

simplify1.1m

Counts
231 → 218
Calls
231 calls:
Slowest
1.5s
(* (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
1.5s
(* (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
1.5s
(* (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
1.3s
(* (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))
1.3s
(* (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (* (* (cos re) (cos re)) (cos re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))))

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch8.0ms

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.6s3019×body1280valid
2.1s2476×body640valid
1.1s8529×body80valid
462.0ms1227×body320valid
165.0ms613×body160valid