Details

Time bar (total: 32.4s)

sample247.0ms

Algorithm
intervals
Results
90.0ms92×body1280valid
61.0ms303×body80valid
53.0ms85×body640valid
18.0ms39×body320valid
5.0ms15×body160valid

simplify195.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
195.0ms
(* (* 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))

rewrite156.0ms

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
116.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
39.0ms
(+ (exp (- 0 im)) (exp im))

series130.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
102.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
29.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.7s

Counts
22 → 43
Calls
22 calls:
Slowest
408.0ms
(* (* (* (* 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))))
347.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
337.0ms
(* (* (* (* 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))))
237.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
202.0ms
(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))

prune450.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×add-sqr-sqrt
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
Slowest
132.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
26.0ms
(+ (exp (- 0 im)) (exp im))

series107.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
81.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
26.0ms
(+ (exp (- 0 im)) (exp im))

simplify1.6s

Counts
23 → 43
Calls
23 calls:
Slowest
298.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
232.0ms
(* (sin re) (+ (exp im) (exp (* -1 im))))
185.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
138.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
78.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))

prune383.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

4.5b
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
0.3b
(/ (* (sin re) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))))
0.0b
(pow (exp (- 0 im)) 3)
0.0b
(pow (exp im) 3)

rewrite795.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-/r/
18×frac-add
16×add-sqr-sqrt *-un-lft-identity
15×exp-neg sub0-neg
14×add-cube-cbrt
13×exp-diff
11×add-cbrt-cube
10×pow-pow flip3-- flip--
9×add-exp-log
8×frac-times exp-prod unpow-prod-down cube-prod
6×pow1 pow-unpow associate-*r/ add-log-exp
4×exp-sum associate-*l/ insert-posit16
3×associate-/r* sub-neg times-frac
2×cube-div cube-mult pow-to-exp cbrt-undiv flip3-+ unpow3 div-exp pow-exp un-div-inv flip-+ rem-cube-cbrt sqr-pow associate-/l/
1×clear-num frac-2neg distribute-rgt-out-- diff-log prod-exp cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
Slowest
737.0ms
(/ (* (sin re) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))))
25.0ms
(pow (exp (- 0 im)) 3)
24.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
6.0ms
(pow (exp im) 3)

series475.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
310.0ms
(/ (* (sin re) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))))
82.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
45.0ms
(pow (exp (- 0 im)) 3)
38.0ms
(pow (exp im) 3)

simplify13.3s

Counts
87 → 132
Calls
87 calls:
Slowest
521.0ms
(* (sin re) (- (* (pow (exp (- 0 im)) 3) (pow (exp (- 0 im)) 3)) (* (pow (exp im) 3) (pow (exp im) 3))))
416.0ms
(* (* (exp im) (exp im)) (+ (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
408.0ms
(* (* (exp im) (exp im)) (+ (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
399.0ms
(* (* (exp im) (exp im)) (+ (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
379.0ms
(* (exp im) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (- 0 im)) (exp im)) (* (exp (- 0 im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))))

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

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
3.3s2923×body1280valid
2.5s2521×body640valid
2.3s8571×body80valid
610.0ms1222×body320valid
285.0ms616×body160valid