Details

Time bar (total: 24.8s)

sample220.0ms

Algorithm
intervals
Results
75.0ms78×body1280valid
54.0ms85×body640valid
52.0ms277×body80valid
13.0ms33×body320valid
6.0ms22×body160valid

simplify209.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b
(+ (exp (- im)) (exp im))

rewrite104.0ms

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
75.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms
(+ (exp (- im)) (exp im))

series164.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
120.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
44.0ms
(+ (exp (- im)) (exp im))

simplify2.4s

Counts
22 → 43
Calls
22 calls:
Slowest
418.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
382.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
243.0ms
(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
214.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
213.0ms
(* 0.5 (* (cos re) (+ (exp (- im)) (exp im))))

prune465.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (exp (- im)))
0.0b
(* (* 0.5 (cos re)) (exp im))
0.0b
(+ (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube
9×add-exp-log
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×insert-posit16
2×exp-neg associate-*l* associate-*r/ *-commutative
1×neg-sub0 +-commutative sum-log flip3-+ exp-diff un-div-inv flip-+ distribute-lft-out
Counts
3 → 54
Calls
3 calls:
Slowest
40.0ms
(+ (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)))
39.0ms
(* (* 0.5 (cos re)) (exp im))
36.0ms
(* (* 0.5 (cos re)) (exp (- im)))

series268.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
141.0ms
(+ (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)))
67.0ms
(* (* 0.5 (cos re)) (exp im))
60.0ms
(* (* 0.5 (cos re)) (exp (- im)))

simplify4.1s

Counts
33 → 63
Calls
33 calls:
Slowest
605.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
591.0ms
(* (exp (* (* 0.5 (cos re)) (exp (- im)))) (exp (* (* 0.5 (cos re)) (exp im))))
578.0ms
(* 0.5 (* (exp (* -1 im)) (cos re)))
555.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
211.0ms
(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp (* -1 im)) (cos re))))

prune723.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))
0.3b
(cbrt (* (* 0.5 (cos re)) (exp im)))
0.3b
(cbrt (* (* 0.5 (cos re)) (exp im)))
0.3b
(cbrt (* (* 0.5 (cos re)) (exp im)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
Slowest
59.0ms
(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))
34.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))
27.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))
17.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
179.0ms
(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))
149.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))
141.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))
138.0ms
(cbrt (* (* 0.5 (cos re)) (exp im)))

simplify6.1s

Counts
45 → 74
Calls
45 calls:
Slowest
562.0ms
(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
548.0ms
(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
532.0ms
(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
521.0ms
(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
506.0ms
(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))

prune968.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.6s2910×body1280valid
1.5s2443×body640valid
1.3s8406×body80valid
937.0ms1283×body320valid
221.0ms613×body160valid