Details

Time bar (total: 24.5s)

sample252.0ms

Algorithm
intervals
Results
142.0ms137×body1280valid
54.0ms130×body640valid
13.0ms55×body320valid
10.0ms110×body80valid
4.0ms24×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23911
39011
428011
5159011
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite176.0ms

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:
114.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
57.0ms
(- (exp (- im)) (exp im))

series166.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
67.0ms
(- (exp (- im)) (exp im))

simplify2.5s

Counts
80 → 80
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01451741
14151406
228291107
done5001946

prune295.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-neg-in fma-udef
1×distribute-rgt-in expm1-log1p-u neg-mul-1 distribute-lft-in associate-*l* *-commutative distribute-rgt-neg-out log1p-expm1-u add-log-exp
Counts
1 → 30
Calls
1 calls:
27.0ms
(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series245.0ms

Counts
1 → 3
Calls
1 calls:
245.0ms
(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify930.0ms

Counts
33 → 33
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
088768
1257748
21369638
done5000634

prune248.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
24×prod-exp
23×add-cbrt-cube
18×add-sqr-sqrt
14×pow1 associate-*r* associate-*l*
12×cbrt-unprod
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down add-log-exp
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u unswap-sqr
3×distribute-lft-neg-out distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-exp *-commutative
2×sqr-pow
1×+-commutative cube-mult neg-mul-1 distribute-rgt-out fma-def flip3-+ unpow3 unsub-neg sum-log flip-+
Counts
4 → 104
Calls
4 calls:
55.0ms
(+ (* (* -1/3 (pow im 3)) (* (sin re) 0.5)) (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (sin re) 0.5)))
44.0ms
(* (* -1/3 (pow im 3)) (* (sin re) 0.5))
36.0ms
(* (- (fma 1/60 (pow im 5) (* 2 im))) (* (sin re) 0.5))
19.0ms
(* -1/3 (pow im 3))

series393.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (* (* -1/3 (pow im 3)) (* (sin re) 0.5)) (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (sin re) 0.5)))
92.0ms
(* (* -1/3 (pow im 3)) (* (sin re) 0.5))
105.0ms
(* (- (fma 1/60 (pow im 5) (* 2 im))) (* (sin re) 0.5))
54.0ms
(* -1/3 (pow im 3))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01661794
14631535
220201363
done50001359

prune711.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
0.7b
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
0.7b
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
0.7b
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
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 → 125
Calls
4 calls:
30.0ms
(* (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
2.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
2.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
2.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
281.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
299.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))
286.0ms
(cbrt (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify1.1s

Counts
137 → 137
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01864656
14284439
217834218
done50033831

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes550.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify18.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01925
12725
23125
33825
done3825

end0.0ms

sample10.4s

Algorithm
intervals
Results
5.2s4790×body1280valid
2.4s3764×body640valid
1.0s4542×body80valid
816.0ms1893×body320valid
221.0ms944×body160valid