Details

Time bar (total: 39.6s)

sample261.0ms

Algorithm
intervals
Results
105.0ms91×body1280valid
70.0ms99×body640valid
42.0ms281×body80valid
16.0ms34×body320valid
5.0ms16×body160valid

simplify144.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
144.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite75.0ms

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
27.0ms
(* (exp im) (* 0.5 (sin re)))
23.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
23.0ms
(/ (* 0.5 (sin re)) (exp im))

series285.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
156.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
68.0ms
(/ (* 0.5 (sin re)) (exp im))
61.0ms
(* (exp im) (* 0.5 (sin re)))

simplify3.4s

Counts
32 → 62
Calls
32 calls:
Slowest
555.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
513.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
496.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
398.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
292.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune555.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

20.6b
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (* 0.5 (sin re)) (exp im)) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))))
3.7b
(- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))
0.4b
(pow (/ (* 0.5 (sin re)) (exp im)) 3)
0.3b
(pow (* (exp im) (* 0.5 (sin re))) 3)

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
21×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×add-cbrt-cube
14×add-exp-log
11×pow1
8×unpow-prod-down cube-prod
7×associate-*r/
6×pow-unpow pow-exp add-log-exp rem-cube-cbrt
5×associate-/l*
4×pow-pow prod-exp sum-cubes cbrt-unprod insert-posit16 distribute-lft-out
3×cbrt-undiv associate-/r* div-exp pow-prod-down frac-sub div-inv
2×cube-mult pow-to-exp flip3-+ unpow3 associate-*l/ associate-/r/ flip-+ sub-div sqr-pow associate-/l/
1×cube-div frac-times clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log flip--
Counts
4 → 122
Calls
4 calls:
Slowest
478.0ms
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (* 0.5 (sin re)) (exp im)) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))))
61.0ms
(- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))
32.0ms
(pow (* (exp im) (* 0.5 (sin re))) 3)
15.0ms
(pow (/ (* 0.5 (sin re)) (exp im)) 3)

series771.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
440.0ms
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (* 0.5 (sin re)) (exp im)) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))))
163.0ms
(- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))
87.0ms
(pow (* (exp im) (* 0.5 (sin re))) 3)
80.0ms
(pow (/ (* 0.5 (sin re)) (exp im)) 3)

simplify22.4s

Counts
104 → 134
Calls
104 calls:
Slowest
792.0ms
(+ (* (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))) (- (* (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))) (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im))))) (* (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (* (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))))))
617.0ms
(- (* 0.25 (/ (pow (sin re) 2) (pow (exp im) 2))) (* 0.25 (pow (sin re) 2)))
590.0ms
(- (* 0.25 (/ (pow (sin re) 2) (pow (exp im) 2))) (* 0.25 (pow (sin re) 2)))
550.0ms
(- (* (* (* 0.5 (sin re)) (/ (* 0.5 (sin re)) (exp im))) (exp im)) (* (exp im) (* (* (exp im) (* 0.5 (sin re))) (* 0.5 (sin re)))))
532.0ms
(+ (pow (pow (* (exp im) (* 0.5 (sin re))) 3) 3) (pow (pow (/ (* 0.5 (sin re)) (exp im)) 3) 3))

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
3.4s2974×body1280valid
2.1s2503×body640valid
1.7s8553×body80valid
1.1s1323×body320valid
221.0ms648×body160valid