Details

Time bar (total: 35.6s)

sample302.0ms

Algorithm
intervals
Results
131.0ms90×body1280valid
65.0ms92×body640valid
47.0ms300×body80valid
25.0ms42×body320valid
9.0ms24×body160valid

simplify180.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
180.0ms
(* (* 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

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

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
55.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
44.0ms
(* (exp im) (* 0.5 (sin re)))
28.0ms
(/ (* 0.5 (sin re)) (exp im))

series325.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
174.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
86.0ms
(* (exp im) (* 0.5 (sin re)))
66.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify7.8s

Counts
66 → 62
Calls
66 calls:
Slowest
619.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
599.0ms
(* (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (* (exp im) (* 0.5 (sin re))))
562.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
545.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
453.0ms
(exp (+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))

prune579.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt associate-*r/ add-cube-cbrt
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
102.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series117.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
117.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify5.0s

Counts
28 → 27
Calls
28 calls:
Slowest
424.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
419.0ms
(* (* (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))
410.0ms
(* (* (* (* 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))))
391.0ms
(* (* (* (* 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))))
359.0ms
(exp (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))

prune267.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube
21×add-exp-log
18×pow1
12×associate-*l*
10×add-sqr-sqrt *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
9×pow-prod-down
6×sqrt-prod add-log-exp
4×insert-posit16
3×associate-/r* times-frac
2×cbrt-undiv div-exp associate-*r* *-commutative
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 81
Calls
4 calls:
Slowest
93.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re))))
84.0ms
(+ (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re)))) (/ (* 0.5 (sin re)) (exp im)))
33.0ms
(* (sqrt (exp im)) (* 0.5 (sin re)))
25.0ms
(/ (* 0.5 (sin re)) (exp im))

series365.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(+ (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re)))) (/ (* 0.5 (sin re)) (exp im)))
97.0ms
(* (sqrt (exp im)) (* 0.5 (sin re)))
77.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re))))
69.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify9.9s

Counts
96 → 93
Calls
96 calls:
Slowest
569.0ms
(* (* (* (sqrt (exp im)) (* 0.5 (sin re))) (* (sqrt (exp im)) (* 0.5 (sin re)))) (* (sqrt (exp im)) (* 0.5 (sin re))))
564.0ms
(* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
544.0ms
(* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
354.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
307.0ms
(* (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (/ (* 0.5 (sin re)) (exp im)))

prune897.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
4.1s2909×body1280valid
2.4s2379×body640valid
1.3s8317×body80valid
639.0ms1252×body320valid
260.0ms654×body160valid