Details

Time bar (total: 19.0s)

sample212.0ms

Algorithm
intervals
Results
96.0ms96×body1280valid
46.0ms83×body640valid
34.0ms277×body80valid
15.0ms38×body320valid
4.0ms15×body160valid

simplify234.0ms

Calls
1 calls:
Slowest
234.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log add-log-exp
3×associate-/r* times-frac associate-*l* insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp associate-*r* pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv associate-/l*
Calls
3 calls:
Slowest
18.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
12.0ms
(* (exp im) (* 0.5 (sin re)))
11.0ms
(/ (* 0.5 (sin re)) (exp im))

series244.0ms

Calls
3 calls:
Slowest
127.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
63.0ms
(/ (* 0.5 (sin re)) (exp im))
54.0ms
(* (exp im) (* 0.5 (sin re)))

simplify1.9s

Calls
27 calls:
Slowest
333.0ms
(- (* 0.5 re) (+ (* 0.5 (* re im)) (* 0.08333333333333333 (pow re 3))))
299.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
276.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
265.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
185.0ms
(/ (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (exp im) (exp im)) (exp im)))

prune507.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (exp im))
0.0b
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
0.0b
(* (exp im) (* 0.5 (sin re)))
0.0b
(* (* 0.5 (sin re)) (/ 1 (exp im)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×associate-*r*
4×associate-*l* insert-posit16
3×associate-/r* prod-exp
2×rec-exp pow-prod-down *-commutative cbrt-unprod div-inv
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-*r/ un-div-inv flip-+ pow-flip inv-pow
Calls
4 calls:
Slowest
15.0ms
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
6.0ms
(* (* 0.5 (sin re)) (/ 1 (exp im)))
6.0ms
(* (exp im) (* 0.5 (sin re)))
2.0ms
(/ 1 (exp im))

series224.0ms

Calls
4 calls:
Slowest
125.0ms
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
56.0ms
(* (exp im) (* 0.5 (sin re)))
36.0ms
(* (* 0.5 (sin re)) (/ 1 (exp im)))
8.0ms
(/ 1 (exp im))

simplify2.8s

Calls
33 calls:
Slowest
586.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (/ 1 (exp im)) (/ 1 (exp im))) (/ 1 (exp im))))
420.0ms
(- (* 0.5 re) (+ (* 0.5 (* re im)) (* 0.08333333333333333 (pow re 3))))
358.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
319.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (* (* 0.5 (sin re)) (/ 1 (exp im)))))
246.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))

prune807.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-log-exp
3×add-sqr-sqrt add-cube-cbrt
2×flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* pow-prod-down prod-exp *-commutative cbrt-unprod
Calls
2 calls:
Slowest
29.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
14.0ms
(+ (exp (- 0 im)) (exp im))

series128.0ms

Calls
2 calls:
Slowest
87.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
41.0ms
(+ (exp (- 0 im)) (exp im))

simplify1.9s

Calls
19 calls:
Slowest
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))))
244.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
235.0ms
(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))
186.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
175.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
3.8s3011×body1280valid
2.5s2498×body640valid
1.7s8549×body80valid
735.0ms1185×body320valid
242.0ms618×body160valid