Details

Time bar (total: 28.7s)

sample254.0ms

Algorithm
intervals
Results
83.0ms85×body640valid
81.0ms78×body1280valid
44.0ms276×body80valid
16.0ms33×body320valid
8.0ms23×body160valid

simplify209.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
209.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite137.0ms

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
91.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
45.0ms
(+ (exp (- 0 im)) (exp im))

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
34.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.7s

Counts
22 → 43
Calls
22 calls:
Slowest
387.0ms
(* (* (* (* 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))))
375.0ms
(* (* (* (* 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))))
365.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
197.0ms
(* 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))))

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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*
Counts
3 → 53
Calls
3 calls:
Slowest
43.0ms
(* (exp im) (* 0.5 (sin re)))
28.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
26.0ms
(/ (* 0.5 (sin re)) (exp im))

series294.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
136.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
87.0ms
(* (exp im) (* 0.5 (sin re)))
72.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify3.4s

Counts
32 → 62
Calls
32 calls:
Slowest
636.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
534.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
406.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
398.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
277.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune641.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
0.4b
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))
0.0b
(+ (exp (- 0 im)) (exp im))
0.0b
(+ (exp (- 0 im)) (exp im))

rewrite533.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
16×*-un-lft-identity
14×sqrt-div associate-*r*
10×associate-*r/
9×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
8×add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
4×frac-times insert-posit16 distribute-lft-out
2×+-commutative sum-log associate-*l* associate-*l/ *-commutative
Counts
4 → 85
Calls
4 calls:
Slowest
338.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
99.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))
58.0ms
(+ (exp (- 0 im)) (exp im))
36.0ms
(+ (exp (- 0 im)) (exp im))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))
79.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
27.0ms
(+ (exp (- 0 im)) (exp im))
25.0ms
(+ (exp (- 0 im)) (exp im))

simplify8.8s

Counts
60 → 97
Calls
60 calls:
Slowest
624.0ms
(* (sqrt (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))) (sqrt (- (exp (- 0 im)) (exp im))))
425.0ms
(* (* (* 0.5 (sin re)) (sqrt (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))))) (sqrt (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))))
390.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
377.0ms
(* (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (sqrt (+ (exp (- 0 im)) (exp im))) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))) (* (* (sqrt (+ (exp (- 0 im)) (exp im))) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im)))))
370.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3)))) (sqrt (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
3.7s2912×body1280valid
1.9s8408×body80valid
1.9s2441×body640valid
716.0ms1286×body320valid
622.0ms607×body160valid