Details

Time bar (total: 41.8s)

sample203.0ms

Algorithm
intervals
Results
66.0ms85×body640valid
65.0ms78×body1280valid
34.0ms276×body80valid
13.0ms33×body320valid
6.0ms23×body160valid

simplify238.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
238.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
14×fma-def *-un-lft-identity
11×exp-sum
10×add-sqr-sqrt add-cube-cbrt
9×prod-diff
7×pow1 add-cbrt-cube add-exp-log
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×distribute-rgt-in +-commutative sum-log sub-neg distribute-lft-in associate-*l* *-commutative
Counts
2 → 55
Calls
2 calls:
Slowest
130.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
48.0ms
(+ (exp (- 0 im)) (exp im))

series155.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
48.0ms
(+ (exp (- 0 im)) (exp im))

simplify3.4s

Counts
35 → 61
Calls
35 calls:
Slowest
445.0ms
(* (* (* (* 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))))
419.0ms
(* (* (* (* 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))))
286.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
257.0ms
(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))
210.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune633.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ -1 (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im))))))
0.1b
(pow (exp im) 3)
0.0b
(pow (exp (- 0 im)) 3)
0.0b
(* (exp im) (exp im))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
36×add-cube-cbrt
26×exp-prod
22×exp-sum
18×prod-diff
17×unpow-prod-down add-cbrt-cube cube-prod
13×pow1 add-exp-log
10×pow-pow
6×pow-unpow
4×expm1-log1p-u associate-/r* times-frac pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l*
2×cube-div cube-mult pow-to-exp sub-neg flip3-+ unpow3 pow-exp associate-*r/ associate-/r/ flip-+ distribute-lft-out rem-cube-cbrt sqr-pow associate-/l/
1×pow2 exp-neg clear-num frac-2neg pow-plus exp-diff *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr sub0-neg
Counts
4 → 153
Calls
4 calls:
Slowest
224.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ -1 (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im))))))
30.0ms
(pow (exp (- 0 im)) 3)
17.0ms
(* (exp im) (exp im))
7.0ms
(pow (exp im) 3)

series376.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
280.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))) (+ -1 (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im))))))
42.0ms
(pow (exp im) 3)
37.0ms
(pow (exp (- 0 im)) 3)
17.0ms
(* (exp im) (exp im))

simplify12.9s

Counts
127 → 165
Calls
127 calls:
Slowest
612.0ms
(pow (* (cbrt (exp (- 0 im))) (cbrt (exp (- 0 im)))) 3)
454.0ms
(+ (* -1 -1) (- (* (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im)))) (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im))))) (* -1 (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im)))))))
338.0ms
(/ (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3)) (+ -1 (- (* (exp im) (exp im)) (/ -1 (* (exp im) (exp im))))))
325.0ms
(pow (exp (fma 1 0 (- (* im 1)))) 3)
324.0ms
(* (* 0.5 (sin re)) (+ (pow (pow (exp (- 0 im)) 3) 3) (pow (pow (exp im) 3) 3)))

prune2.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

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))

rewrite530.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×fma-def
22×add-sqr-sqrt exp-sum add-cube-cbrt
18×pow1 add-cbrt-cube prod-diff add-exp-log
14×sqrt-div associate-*r*
10×associate-*r/
9×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
8×sqrt-prod add-log-exp
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u distribute-lft-out
2×+-commutative sum-log sub-neg associate-*l* associate-*l/ *-commutative
Counts
4 → 121
Calls
4 calls:
Slowest
279.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
119.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))
64.0ms
(+ (exp (- 0 im)) (exp im))
64.0ms
(+ (exp (- 0 im)) (exp im))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
121.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))
83.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
35.0ms
(+ (exp (- 0 im)) (exp im))
30.0ms
(+ (exp (- 0 im)) (exp im))

simplify9.8s

Counts
86 → 133
Calls
86 calls:
Slowest
509.0ms
(* (* (* 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)))))
431.0ms
(- (+ (* 0.5 (* (sqrt 2) re)) (* 0.25 (/ (* re (pow im 2)) (sqrt 2)))) (* 0.08333333333333333 (* (sqrt 2) (pow re 3))))
412.0ms
(* (* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))) (* (* 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)))))
362.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3)))) (sqrt (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3))))
330.0ms
(* (sqrt (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))) (sqrt (- (exp (- 0 im)) (exp im))))

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.2s2912×body1280valid
1.9s8408×body80valid
1.7s2441×body640valid
1.0s1286×body320valid
167.0ms607×body160valid