Details

Time bar (total: 36.4s)

sample245.0ms

Algorithm
intervals
Results
83.0ms87×body1280valid
58.0ms84×body640valid
38.0ms250×body80valid
30.0ms19×body160valid
17.0ms36×body320valid

simplify155.0ms

Calls
1 calls:
Slowest
155.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite157.0ms

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
106.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
48.0ms
(+ (exp (- 0 im)) (exp im))

series177.0ms

Calls
2 calls:
Slowest
133.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
44.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.6s

Calls
22 calls:
Slowest
386.0ms
(* (* (* (* 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))))
353.0ms
(* (* (* (* 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))))
340.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
196.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
181.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune494.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite156.0ms

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
Calls
2 calls:
Slowest
114.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
42.0ms
(+ (exp (- 0 im)) (exp im))

series120.0ms

Calls
2 calls:
Slowest
77.0ms
(* (sin re) (+ (exp (- 0 im)) (exp im)))
42.0ms
(+ (exp (- 0 im)) (exp im))

simplify1.7s

Calls
23 calls:
Slowest
318.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
193.0ms
(* (sin re) (+ (exp im) (exp (* -1 im))))
191.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
189.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
81.0ms
(* (sin re) (+ (exp (- im)) (exp im)))

prune429.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize68.0ms

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)

rewrite361.0ms

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
Calls
4 calls:
Slowest
318.0ms
(/ (* (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)))))
24.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
14.0ms
(pow (exp (- 0 im)) 3)
4.0ms
(pow (exp im) 3)

series371.0ms

Calls
4 calls:
Slowest
235.0ms
(/ (* (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)))))
81.0ms
(- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))
29.0ms
(pow (exp im) 3)
27.0ms
(pow (exp (- 0 im)) 3)

simplify13.2s

Calls
87 calls:
Slowest
563.0ms
(* (sin re) (- (* (pow (exp (- 0 im)) 3) (pow (exp (- 0 im)) 3)) (* (pow (exp im) 3) (pow (exp im) 3))))
452.0ms
(- (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
435.0ms
(* (* (exp im) (exp im)) (+ (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
395.0ms
(* (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))))))
374.0ms
(* (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

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

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)))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 *-un-lft-identity sqrt-prod
12×associate-*l*
11×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 sqrt-pow1 flip3-+ pow1/2 *-commutative flip-+ unswap-sqr
1×distribute-lft-out
Calls
4 calls:
Slowest
130.0ms
(* (sqrt (sin re)) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))))
116.0ms
(* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))
2.0ms
(sqrt (sin re))
2.0ms
(sqrt (sin re))

series233.0ms

Calls
4 calls:
Slowest
93.0ms
(* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im)))
70.0ms
(* (sqrt (sin re)) (* (sqrt (sin re)) (+ (exp (- 0 im)) (exp im))))
37.0ms
(sqrt (sin re))
33.0ms
(sqrt (sin re))

simplify3.8s

Calls
60 calls:
Slowest
651.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
408.0ms
(* (* (* (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)))))
321.0ms
(* (* (* (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)))))
288.0ms
(* (sin re) (+ (exp im) (exp (* -1 im))))
217.0ms
(* (sqrt (sin re)) (+ (exp im) (exp (* -1 im))))

prune938.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.5s

Algorithm
intervals
Results
3.8s2970×body1280valid
2.2s2509×body640valid
1.4s8545×body80valid
599.0ms1275×body320valid
185.0ms675×body160valid