Details

Time bar (total: 23.2s)

sample182.0ms

Algorithm
intervals
Results
64.0ms76×body1280valid
51.0ms80×body640valid
31.0ms260×body80valid
16.0ms46×body320valid
5.0ms20×body160valid

simplify204.0ms

Calls
1 calls:
Slowest
204.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))

rewrite169.0ms

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
Calls
2 calls:
Slowest
117.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
50.0ms
(+ (exp (- 0 im)) (exp im))

series152.0ms

Calls
2 calls:
Slowest
109.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
42.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.6s

Calls
22 calls:
Slowest
376.0ms
(* (* (* (* 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))))
346.0ms
(* (* (* (* 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))))
346.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
218.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
191.0ms
(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))

prune530.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
12×log-prod
11×pow1
9×add-sqr-sqrt add-cbrt-cube add-cube-cbrt
8×exp-sum add-exp-log
7×associate-*r*
6×log-div add-log-exp
4×exp-prod flip3-+ exp-diff flip-+ insert-posit16 distribute-lft-out
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ log-pow
1×+-commutative sum-log rem-log-exp associate-*l* *-commutative rem-exp-log
Calls
4 calls:
Slowest
161.0ms
(* (* 0.5 (sin re)) (exp (log (+ (exp (- 0 im)) (exp im)))))
45.0ms
(exp (log (+ (exp (- 0 im)) (exp im))))
41.0ms
(log (+ (exp (- 0 im)) (exp im)))
33.0ms
(+ (exp (- 0 im)) (exp im))

series274.0ms

Calls
4 calls:
Slowest
122.0ms
(* (* 0.5 (sin re)) (exp (log (+ (exp (- 0 im)) (exp im)))))
101.0ms
(log (+ (exp (- 0 im)) (exp im)))
26.0ms
(+ (exp (- 0 im)) (exp im))
25.0ms
(exp (log (+ (exp (- 0 im)) (exp im))))

simplify4.2s

Calls
47 calls:
Slowest
319.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
292.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (exp (log (+ (exp (- 0 im)) (exp im)))) (exp (log (+ (exp (- 0 im)) (exp im))))) (exp (log (+ (exp (- 0 im)) (exp im))))))
249.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (exp (log (+ (exp (- 0 im)) (exp im)))) (exp (log (+ (exp (- 0 im)) (exp im))))) (exp (log (+ (exp (- 0 im)) (exp im))))))
245.0ms
(exp (log (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))))
228.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)))

rewrite84.0ms

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*
Calls
3 calls:
Slowest
40.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
28.0ms
(* (exp im) (* 0.5 (sin re)))
15.0ms
(/ (* 0.5 (sin re)) (exp im))

series242.0ms

Calls
3 calls:
Slowest
123.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
69.0ms
(* (exp im) (* 0.5 (sin re)))
50.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify3.2s

Calls
32 calls:
Slowest
521.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
493.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
447.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
318.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
272.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune590.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.0s

Algorithm
intervals
Results
4.2s2904×body1280valid
1.8s2487×body640valid
1.8s8509×body80valid
661.0ms1285×body320valid
221.0ms597×body160valid