Details

Time bar (total: 28.4s)

sample298.0ms

Algorithm
intervals
Results
131.0ms182×body1280valid
113.0ms134×body640valid
12.0ms156×body80valid
10.0ms39×body320valid
3.0ms18×body160valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
12112
24412
39912
418612
569212
6473112
done500012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.8b
(- (exp (- 0.0 im)) (exp im))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×add-cube-cbrt sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 40
Calls
2 calls:
152.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
69.0ms
(- (exp (- 0.0 im)) (exp im))

series182.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
59.0ms
(- (exp (- 0.0 im)) (exp im))

simplify932.0ms

Counts
46 → 46
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
0103679
1276661
21326574
done5000565

prune143.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b
(* -1/3 (pow im 3))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×associate-*r*
18×add-exp-log
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×prod-exp
8×pow1 unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
1×cube-mult flip3-- unpow3 flip--
Counts
3 → 80
Calls
3 calls:
12.0ms
(* 1/60 (pow im 5))
105.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
20.0ms
(* -1/3 (pow im 3))

series410.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* 1/60 (pow im 5))
276.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
58.0ms
(* -1/3 (pow im 3))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: 2 (475.0ms)

IterNodesCost
01671213
14551130
22084990
done5000990

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow im 5) -1/60)
0.1b
(* (* -1/3 (pow im 3)) (* 0.5 (cos re)))
0.1b
(* (+ (* (pow im 5) -1/60) (* -2 im)) (* 0.5 (cos re)))
0.1b
(* -1/3 (pow im 3))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
27×prod-exp
25×add-cbrt-cube
24×add-sqr-sqrt
17×associate-*r*
14×pow1 associate-*l*
13×cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×unswap-sqr
6×pow-prod-down
4×pow-to-exp cube-prod pow-exp *-commutative add-log-exp sqr-pow
2×associate-*l/
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 100
Calls
4 calls:
20.0ms
(* (pow im 5) -1/60)
50.0ms
(* (* -1/3 (pow im 3)) (* 0.5 (cos re)))
95.0ms
(* (+ (* (pow im 5) -1/60) (* -2 im)) (* 0.5 (cos re)))
27.0ms
(* -1/3 (pow im 3))

series320.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (pow im 5) -1/60)
99.0ms
(* (* -1/3 (pow im 3)) (* 0.5 (cos re)))
108.0ms
(* (+ (* (pow im 5) -1/60) (* -2 im)) (* 0.5 (cos re)))
51.0ms
(* -1/3 (pow im 3))

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: 2 (406.0ms)

IterNodesCost
01751306
14781179
222071009
done50011009

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (pow im 5) -1/60) (* -2 im))) (cbrt (+ (* (pow im 5) -1/60) (* -2 im))))
0.7b
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
0.7b
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
0.7b
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
107.0ms
(* (cbrt (+ (* (pow im 5) -1/60) (* -2 im))) (cbrt (+ (* (pow im 5) -1/60) (* -2 im))))
12.0ms
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
12.0ms
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
20.0ms
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))

series3.9s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (+ (* (pow im 5) -1/60) (* -2 im))) (cbrt (+ (* (pow im 5) -1/60) (* -2 im))))
1.0s
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
970.0ms
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))
881.0ms
(cbrt (+ (* (pow im 5) -1/60) (* -2 im)))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01702858
14272651
215472431
done50012182

prune794.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes500.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
12725
done2725

end0.0ms

sample10.1s

Algorithm
intervals
Results
5.4s5605×body1280valid
2.4s3582×body640valid
1.1s1493×body320valid
376.0ms4214×body80valid
212.0ms696×body160valid