Details

Time bar (total: 25.3s)

sample271.0ms

Algorithm
intervals
Results
161.0ms175×body1280valid
53.0ms114×body640valid
13.0ms43×body320valid
11.0ms121×body80valid
4.0ms21×body160valid

simplify1.1s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.6b
(- (exp (- 0.0 im)) (exp im))

rewrite352.0ms

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:
215.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
136.0ms
(- (exp (- 0.0 im)) (exp im))

series168.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
49.0ms
(- (exp (- 0.0 im)) (exp im))

simplify1.6s

Counts
46 → 46

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/60 (pow im 5)) (* 2 im))
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)))))
0.2b
(* 1/3 (pow im 3))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
26×add-sqr-sqrt
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down *-commutative
2×pow-to-exp distribute-neg-in flip3-+ associate-*r/ pow-exp flip-+ distribute-neg-frac
1×+-commutative distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 sum-log distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
10.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
12.0ms
(* 1/60 (pow im 5))
173.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
26.0ms
(* 1/3 (pow im 3))

series608.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
78.0ms
(* 1/60 (pow im 5))
242.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
71.0ms
(* 1/3 (pow im 3))

simplify1.3s

Counts
109 → 109

prune471.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (* 1/3 (pow im 3))))
0.0b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b
(* 1/3 (pow im 3))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
35×associate-*r*
27×add-sqr-sqrt
24×add-exp-log
18×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×prod-exp
8×unpow-prod-down associate-*l* cbrt-unprod
7×unswap-sqr
6×pow-prod-down
4×distribute-lft-neg-in distribute-rgt-neg-in cube-prod *-commutative add-log-exp sqr-pow
2×pow-to-exp neg-mul-1 distribute-neg-in associate-*r/ pow-exp distribute-rgt-neg-out distribute-neg-frac
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ unpow3 flip-+
Counts
4 → 108
Calls
4 calls:
47.0ms
(* (* 0.5 (cos re)) (- (* 1/3 (pow im 3))))
12.0ms
(* 1/60 (pow im 5))
63.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
13.0ms
(* 1/3 (pow im 3))

series688.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (* 0.5 (cos re)) (- (* 1/3 (pow im 3))))
53.0ms
(* 1/60 (pow im 5))
424.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
54.0ms
(* 1/3 (pow im 3))

simplify1.5s

Counts
120 → 120

prune626.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b
(* 1/3 (pow im 3))
0.3b
(* (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))) (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
141×pow1
77×pow-prod-down
60×sqrt-pow1
36×associate-*r*
27×add-sqr-sqrt
21×add-exp-log
18×add-cube-cbrt *-un-lft-identity associate-*r/ add-cbrt-cube
17×pow-prod-up
16×distribute-neg-frac
12×pow1/2 sqrt-div
11×pow-sqr
10×prod-exp
9×associate-*l*
8×flip3-+ cbrt-unprod flip-+
6×distribute-lft-neg-in distribute-rgt-neg-in
5×unswap-sqr
4×frac-times unpow-prod-down distribute-neg-in cube-prod swap-sqr sqrt-prod *-commutative add-log-exp
2×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l/ distribute-rgt-neg-out sqr-pow
1×pow2 cube-mult pow-to-exp pow-plus sqrt-unprod unpow3 pow-exp rem-square-sqrt
Counts
4 → 165
Calls
4 calls:
70.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
74.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
22.0ms
(* 1/3 (pow im 3))
318.0ms
(* (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))) (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
381.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
433.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
80.0ms
(* 1/3 (pow im 3))
360.0ms
(* (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))) (sqrt (* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))))

simplify1.7s

Counts
177 → 177

prune787.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

44.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.8b

bsearch89.0ms

Steps
ItersRangePoint
8
0.00022617661863457038
0.0815671925612537
0.01441673651907451

simplify1.6s

end0.0ms

sample9.8s

Algorithm
intervals
Results
5.2s5715×body1280valid
2.9s3516×body640valid
480.0ms1492×body320valid
400.0ms4332×body80valid
138.0ms709×body160valid