Details

Time bar (total: 17.4s)

sample132.0ms

Algorithm
intervals
Results
70.0ms164×body1280valid
27.0ms112×body640valid
8.0ms53×body320valid
7.0ms140×body80valid
3.0ms25×body160valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23911
38911
415011
525411
633211
747411
877711
996911
10100511
11104411
done104411

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b
(- (exp (- im)) (exp im))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 74
Calls
2 calls:
68.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
28.0ms
(- (exp (- im)) (exp im))

series115.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify2.9s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01451741
13511397
211091099
34946907
done5000907

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
9×pow1
8×add-cube-cbrt *-un-lft-identity associate-*l*
6×associate-*r* prod-exp
4×expm1-log1p-u unpow-prod-down cbrt-unprod fma-udef log1p-expm1-u add-log-exp
3×pow-prod-down unswap-sqr
2×*-commutative sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma im -2 (* (pow im 5) -1/60))
0.0ms
(fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60)))
11.0ms
(* (pow im 5) -1/60)
21.0ms
(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(fma im -2 (* (pow im 5) -1/60))
51.0ms
(fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60)))
49.0ms
(* (pow im 5) -1/60)
171.0ms
(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

simplify861.0ms

Counts
81 → 81
Iterations

Useful iterations: done (859.0ms)

IterNodesCost
01371185
13061142
21059980
done5000976

prune264.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
27×prod-exp
25×add-cbrt-cube
24×add-sqr-sqrt
19×associate-*r*
14×pow1
13×cbrt-unprod
12×add-cube-cbrt *-un-lft-identity associate-*l*
8×unpow-prod-down
7×unswap-sqr
6×pow-prod-down
4×expm1-log1p-u pow-to-exp cube-prod pow-exp *-commutative log1p-expm1-u add-log-exp sqr-pow
2×fma-udef
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 108
Calls
4 calls:
38.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
12.0ms
(* (pow im 5) -1/60)
13.0ms
(* -1/3 (pow im 3))
21.0ms
(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
49.0ms
(* (pow im 5) -1/60)
36.0ms
(* -1/3 (pow im 3))
251.0ms
(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))

simplify939.0ms

Counts
120 → 120
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
01891373
14571252
217751086
done50001078

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma im -2 (* (pow im 5) -1/60))) (cbrt (fma im -2 (* (pow im 5) -1/60))))
0.6b
(cbrt (fma im -2 (* (pow im 5) -1/60)))
0.6b
(cbrt (fma im -2 (* (pow im 5) -1/60)))
0.6b
(cbrt (fma im -2 (* (pow im 5) -1/60)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma im -2 (* (pow im 5) -1/60))) (cbrt (fma im -2 (* (pow im 5) -1/60))))
1.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))
1.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))
1.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))

series2.3s

Counts
4 → 12
Calls
4 calls:
601.0ms
(* (cbrt (fma im -2 (* (pow im 5) -1/60))) (cbrt (fma im -2 (* (pow im 5) -1/60))))
571.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))
560.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))
563.0ms
(cbrt (fma im -2 (* (pow im 5) -1/60)))

simplify1.0s

Counts
93 → 93
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
01372096
12931966
27781832
323611468
done50001399

prune394.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes265.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11918
done1918

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s4745×body1280valid
911.0ms3634×body640valid
306.0ms1969×body320valid
231.0ms4456×body80valid
105.0ms944×body160valid