Details

Time bar (total: 33.2s)

sample266.0ms

Algorithm
intervals
Results
95.0ms87×body1280valid
61.0ms84×body640valid
41.0ms250×body80valid
31.0ms19×body160valid
21.0ms36×body320valid

simplify156.0ms

Calls
1 calls:
Slowest
156.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune11.0ms

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))

rewrite26.0ms

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
18.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
7.0ms
(+ (exp (- 0 im)) (exp im))

series173.0ms

Calls
2 calls:
Slowest
137.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
36.0ms
(+ (exp (- 0 im)) (exp im))

simplify1.8s

Calls
19 calls:
Slowest
305.0ms
(* (* (* (* 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))))
277.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
236.0ms
(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))
196.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
140.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune477.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
4×add-sqr-sqrt 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
Calls
2 calls:
Slowest
15.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
14.0ms
(+ (exp (- 0 im)) (exp im))

series126.0ms

Calls
2 calls:
Slowest
96.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
30.0ms
(+ (exp (- 0 im)) (exp im))

simplify1.3s

Calls
21 calls:
Slowest
256.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
187.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
187.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
96.0ms
(* (sin re) (+ (exp im) (exp (* -1 im))))
91.0ms
(* (sin re) (+ (exp (- im)) (exp im)))

prune422.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (* (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 im) 3)
0.0b
(pow (exp (- 0 im)) 3)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-/r/
18×frac-add
15×exp-neg sub0-neg
13×exp-diff
11×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
10×flip3-- flip--
9×add-exp-log
8×frac-times unpow-prod-down cube-prod
6×pow1 associate-*r/ add-log-exp
5×pow-pow
4×exp-sum associate-*l/ insert-posit16
3×exp-prod 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 associate-/l/
1×clear-num frac-2neg distribute-rgt-out-- diff-log prod-exp cbrt-unprod div-inv associate-/l*
Calls
4 calls:
Slowest
92.0ms
(/ (* (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)))))
8.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
5.0ms
(pow (exp (- 0 im)) 3)
2.0ms
(pow (exp im) 3)

series410.0ms

Calls
4 calls:
Slowest
281.0ms
(/ (* (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)))))
67.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
31.0ms
(pow (exp (- 0 im)) 3)
30.0ms
(pow (exp im) 3)

simplify12.7s

Calls
78 calls:
Slowest
982.0ms
(/ (* (* (* (sin re) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (* (sin re) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3)))) (* (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)))) (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))) (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))))
523.0ms
(* (* (exp im) (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))))))
504.0ms
(* (* (exp im) (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))))))
454.0ms
(* (* (exp im) (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))))))
437.0ms
(* (* (exp im) (exp im)) (+ (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sin re)) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))))
0.0b
(sqrt (sin re))
0.0b
(sqrt (sin re))
0.0b
(* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
12×associate-*l* sqrt-prod
11×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r/
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square flip3-+ pow1/2 *-commutative flip-+
1×distribute-lft-out
Calls
4 calls:
Slowest
52.0ms
(* (sqrt (sin re)) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))))
24.0ms
(* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))
1.0ms
(sqrt (sin re))
1.0ms
(sqrt (sin re))

series212.0ms

Calls
4 calls:
Slowest
92.0ms
(* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))
66.0ms
(* (sqrt (sin re)) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))))
31.0ms
(sqrt (sin re))
23.0ms
(sqrt (sin re))

simplify2.5s

Calls
54 calls:
Slowest
311.0ms
(* (* (* (sqrt (sin re)) (sqrt (sin re))) (sqrt (sin re))) (* (* (* (sqrt (sin re)) (sqrt (sin re))) (sqrt (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))))
281.0ms
(* (* (* (sqrt (sin re)) (sqrt (sin re))) (sqrt (sin re))) (* (* (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))))
198.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
183.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
166.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
3.9s2970×body1280valid
2.3s2509×body640valid
2.0s8545×body80valid
565.0ms1275×body320valid
239.0ms675×body160valid