Details

Time bar (total: 26.5s)

sample131.0ms

Algorithm
intervals
Results
77.0ms182×body1280valid
26.0ms92×body640valid
6.0ms38×body320valid
5.0ms119×body80valid
2.0ms22×body160valid

simplify14.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01112
12112
24312
39412
418512
535312
674312
7106312
8151412
9256612
10447012
done500012

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.8b
(- (exp (- 0.0 im)) (exp im))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
216×prod-diff
119×add-sqr-sqrt *-un-lft-identity
115×add-cube-cbrt
110×exp-sum
44×distribute-rgt-in distribute-lft-in
14×fma-neg
13×sub-neg
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×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 → 184
Calls
2 calls:
87.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
44.0ms
(- (exp (- 0.0 im)) (exp im))

series118.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
36.0ms
(- (exp (- 0.0 im)) (exp im))

simplify1.2s

Counts
190 → 190
Iterations

Useful iterations: 2 (238.0ms)

IterNodesCost
02847174
17244912
223903505
done50003505

prune223.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×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 fma-udef
2×expm1-log1p-u distribute-neg-in log1p-expm1-u add-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative distribute-rgt-neg-out
Counts
2 → 40
Calls
2 calls:
0.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
9.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series222.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
166.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify466.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0101998
1278970
21203835
done5001835

prune156.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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)))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

rewrite9.0ms

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:
6.0ms
(* (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)))))
0.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (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)))))
147.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
145.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
143.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (485.0ms)

IterNodesCost
01402846
13092674
29662471
339051988
done50011988

prune436.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
148.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
148.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))
147.0ms
(cbrt (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))

simplify601.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (177.0ms)

IterNodesCost
0721636
11601608
24231496
314741308
done50011308

prune559.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01719
12219
22519
33219
done3219

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.4s5716×body1280valid
864.0ms3585×body640valid
228.0ms1488×body320valid
201.0ms4405×body80valid
68.0ms672×body160valid