Details

Time bar (total: 25.8s)

sample249.0ms

Algorithm
intervals
Results
112.0ms95×body1280valid
50.0ms79×body640valid
39.0ms277×body80valid
21.0ms47×body320valid
6.0ms20×body160valid

simplify142.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
142.0ms
(* (* 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

localize18.0ms

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))

rewrite150.0ms

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
109.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
39.0ms
(+ (exp (- 0 im)) (exp im))

series145.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
45.0ms
(+ (exp (- 0 im)) (exp im))

simplify2.7s

Counts
22 → 43
Calls
22 calls:
Slowest
383.0ms
(* (* (* (* 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))))
367.0ms
(* (* (* (* 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))))
321.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
213.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))
207.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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
48.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
41.0ms
(* (exp im) (* 0.5 (sin re)))
12.0ms
(/ (* 0.5 (sin re)) (exp im))

series307.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
153.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
86.0ms
(* (exp im) (* 0.5 (sin re)))
67.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify3.3s

Counts
32 → 62
Calls
32 calls:
Slowest
584.0ms
(* (* (* (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))))
428.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
397.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
299.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune594.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (sin re))))
0.0b
(* (cbrt (exp im)) (* 0.5 (sin re)))
0.0b
(* (cbrt (exp im)) (cbrt (exp im)))
0.0b
(cbrt (exp im))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1
32×add-exp-log
23×add-sqr-sqrt
22×cbrt-prod
20×pow-prod-down
19×prod-exp cbrt-unprod
18×add-cbrt-cube
15×*-un-lft-identity add-cube-cbrt
13×associate-*l*
8×associate-*r*
7×pow1/3
6×swap-sqr
4×insert-posit16 add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 104
Calls
4 calls:
Slowest
66.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (sin re))))
34.0ms
(* (cbrt (exp im)) (* 0.5 (sin re)))
22.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms
(cbrt (exp im))

series450.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
135.0ms
(* (cbrt (exp im)) (* 0.5 (sin re)))
105.0ms
(cbrt (exp im))
63.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (sin re))))

simplify6.0s

Counts
91 → 116
Calls
91 calls:
Slowest
550.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re)))))
490.0ms
(* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
438.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re)))))
347.0ms
(* (exp im) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
324.0ms
(* 0.5 (* (sin re) (exp (* 1/3 im))))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
3.8s3020×body1280valid
2.4s2501×body640valid
1.8s8422×body80valid
643.0ms1224×body320valid
219.0ms629×body160valid