Details

Time bar (total: 10.0m)

sample123.0ms

Algorithm
intervals
Results
60.0ms144×body1280valid
27.0ms115×body640valid
10.0ms66×body320valid
7.0ms158×body80valid
4.0ms39×body160valid

simplify1.8m

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11811
23911
37711
411511
527211
641311
763011
8135711
9434711
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.4b
(- (exp (- im)) (exp im))

rewrite41.0ms

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:
30.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
10.0ms
(- (exp (- im)) (exp im))

series108.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
33.0ms
(- (exp (- im)) (exp im))

simplify2.2s

Counts
46 → 46
Iterations

Useful iterations: 3 (687.0ms)

IterNodesCost
093614
1242596
2884504
33919502
done5001502

prune111.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×pow1 prod-exp add-log-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×sub-neg pow-prod-down *-commutative
2×distribute-rgt-in pow-to-exp flip3-- distribute-lft-in diff-log associate-*r/ pow-exp flip--
1×cube-mult unpow3 sum-log associate--r+
Counts
4 → 94
Calls
4 calls:
7.0ms
(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms
(* 1/60 (pow im 5))
25.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms
(* -1/3 (pow im 3))

series304.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
44.0ms
(* 1/60 (pow im 5))
166.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
36.0ms
(* -1/3 (pow im 3))

simplify630.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
01781587
14551481
217181304
done50011304

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin re) (pow im 3))
0.1b
(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b
(* (sin re) (pow im 5))
0.1b
(* (sin re) im)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
23×associate-*r*
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity prod-exp
12×associate-*l*
8×pow1 unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod *-commutative add-log-exp sqr-pow
3×pow-to-exp pow-exp
2×pow-prod-down
1×cube-mult unpow3
Counts
4 → 93
Calls
4 calls:
7.0ms
(* (sin re) (pow im 3))
9.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))
6.0ms
(* (sin re) (pow im 5))
3.0ms
(* (sin re) im)

series319.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (sin re) (pow im 3))
89.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))
118.0ms
(* (sin re) (pow im 5))
34.0ms
(* (sin re) im)

simplify512.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0142963
1340883
21206781
done5001781

prune294.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b
(* -1/3 (pow im 3))
2.6b
(log (exp (* -1/3 (pow im 3))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
19×add-exp-log
18×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
11×pow1
9×log-prod prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×associate--l+
5×distribute-rgt-in distribute-lft-in cbrt-unprod add-log-exp
4×cube-prod log-pow sqr-pow
3×pow-prod-down *-commutative
2×pow-to-exp sub-neg associate-*r/ pow-exp distribute-lft-out--
1×cube-mult exp-prod flip3-- exp-to-pow unpow3 rem-log-exp flip-- difference-of-squares
Counts
4 → 103
Calls
4 calls:
5.0ms
(* 1/60 (pow im 5))
31.0ms
(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
9.0ms
(* -1/3 (pow im 3))
1.0ms
(log (exp (* -1/3 (pow im 3))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 1/60 (pow im 5))
171.0ms
(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
34.0ms
(* -1/3 (pow im 3))
38.0ms
(log (exp (* -1/3 (pow im 3))))

simplify685.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01961674
14781478
217751310
done50001310

prune387.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
13025
24125
35925
46925
done6925

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.0s4770×body1280valid
889.0ms3797×body640valid
295.0ms1952×body320valid
208.0ms4492×body80valid
91.0ms960×body160valid

end8.0m