Details

Time bar (total: 46.4s)

sample263.0ms

Algorithm
intervals
Results
116.0ms89×body1280valid
63.0ms97×body640valid
47.0ms294×body80valid
14.0ms28×body320valid
6.0ms22×body160valid

simplify127.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
126.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×associate-/r* times-frac associate-*l* pow-prod-down insert-posit16
2×cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv associate-/l*
Counts
3 → 53
Calls
3 calls:
Slowest
45.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
42.0ms
(* (exp im) (* 0.5 (sin re)))
17.0ms
(/ (* 0.5 (sin re)) (exp im))

series288.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
168.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
73.0ms
(* (exp im) (* 0.5 (sin re)))
48.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify3.1s

Counts
32 → 62
Calls
32 calls:
Slowest
561.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
476.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
423.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
411.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
238.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune450.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
0.0b
(+ (exp (- 0 im)) (exp im))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
4×associate-*r* add-log-exp
3×add-sqr-sqrt pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 37
Calls
2 calls:
Slowest
88.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
49.0ms
(+ (exp (- 0 im)) (exp im))

series164.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
122.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
42.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.9s

Counts
22 → 43
Calls
22 calls:
Slowest
556.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
435.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
356.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
316.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
189.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune441.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×add-cbrt-cube
21×add-exp-log
12×associate-/r*
11×associate-/l*
9×pow1 div-inv
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod
4×insert-posit16
3×associate-*l* pow-prod-down
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ associate-/l/
Counts
4 → 153
Calls
4 calls:
Slowest
41.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
40.0ms
(* (exp im) (* 0.5 (sin re)))
31.0ms
(/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))
17.0ms
(/ (* 0.5 (sin re)) (sqrt (exp im)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
102.0ms
(/ (* 0.5 (sin re)) (sqrt (exp im)))
62.0ms
(* (exp im) (* 0.5 (sin re)))
49.0ms
(/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

simplify9.1s

Counts
186 → 165
Calls
186 calls:
Slowest
434.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
424.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
416.0ms
(/ (/ (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
378.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
346.0ms
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im))))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))
0.0b
(* (exp im) (* 0.5 (sin re)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
201×times-frac
115×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
108×sqrt-prod
31×associate-/l*
14×add-cbrt-cube
12×add-exp-log
9×pow1
6×cbrt-prod
5×div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×clear-num frac-2neg associate-*r* *-commutative associate-/l/
Counts
4 → 186
Calls
4 calls:
Slowest
39.0ms
(* (exp im) (* 0.5 (sin re)))
12.0ms
(/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im))))
2.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))

series444.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
177.0ms
(/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im))))
115.0ms
(cbrt (exp im))
93.0ms
(cbrt (exp im))
58.0ms
(* (exp im) (* 0.5 (sin re)))

simplify13.5s

Counts
249 → 198
Calls
249 calls:
Slowest
576.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
559.0ms
(/ (* (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt (sqrt (exp im))))) (/ 0.5 (sqrt (sqrt (exp im))))) (* (* (fabs (cbrt (exp im))) (fabs (cbrt (exp im)))) (fabs (cbrt (exp im)))))
494.0ms
(* 0.5 (* (pow (/ 1 (exp im)) 1/4) (/ 1 (fabs (pow (exp im) 1/3)))))
472.0ms
(* 0.5 (* (pow (/ 1 (exp im)) 1/4) (/ 1 (fabs (pow (exp im) 1/3)))))
448.0ms
(- (+ (* 0.5 (/ 1 (fabs (pow (exp im) 1/3)))) (* 0.015625 (/ (pow im 2) (fabs (pow (exp im) 1/3))))) (* 0.125 (/ im (fabs (pow (exp im) 1/3)))))

prune3.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
4.0s3022×body1280valid
2.5s2404×body640valid
1.3s8638×body80valid
605.0ms1213×body320valid
225.0ms632×body160valid