Details

Time bar (total: 22.1s)

sample229.0ms

Algorithm
intervals
Results
111.0ms137×body1280valid
61.0ms130×body640valid
16.0ms55×body320valid
10.0ms110×body80valid
5.0ms24×body160valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23911
38611
426211
5153611
done500011

prune7.0ms

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))

rewrite112.0ms

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:
79.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
30.0ms
(- (exp (- im)) (exp im))

series161.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
47.0ms
(- (exp (- im)) (exp im))

simplify1.1s

Counts
46 → 46
Iterations

Useful iterations: done (1.1s)

IterNodesCost
093614
1263596
21477508
done5000504

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×add-exp-log
16×associate-*l*
13×associate-*r*
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×prod-exp
8×pow1 unpow-prod-down
7×unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
1×cube-mult flip3-- unpow3 flip--
Counts
3 → 80
Calls
3 calls:
15.0ms
(* 1/60 (pow im 5))
28.0ms
(* (pow im 3) -1/3)
103.0ms
(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))

series414.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* 1/60 (pow im 5))
61.0ms
(* (pow im 3) -1/3)
271.0ms
(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01621195
14241117
22149991
done5001989

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
27×prod-exp
25×add-cbrt-cube
24×add-sqr-sqrt
23×associate-*l*
14×pow1
13×cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down associate-*r*
7×unswap-sqr
6×pow-prod-down
4×pow-to-exp cube-prod pow-exp *-commutative add-log-exp sqr-pow
2×associate-*l/
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 100
Calls
4 calls:
63.0ms
(* (* (pow im 3) -1/3) (* 0.5 (sin re)))
12.0ms
(* (pow im 5) -1/60)
67.0ms
(* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))
15.0ms
(* (pow im 3) -1/3)

series325.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (* (pow im 3) -1/3) (* 0.5 (sin re)))
52.0ms
(* (pow im 5) -1/60)
142.0ms
(* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))
55.0ms
(* (pow im 3) -1/3)

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (480.0ms)

IterNodesCost
01691292
14521172
220931012
done50001012

prune579.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))) (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))))
12.3b
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
12.3b
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
12.3b
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
162.0ms
(* (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))) (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))))
25.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
28.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
26.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))

series1.2s

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))) (cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))))
297.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
314.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))
290.0ms
(cbrt (* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re))))

simplify922.0ms

Counts
84 → 84
Iterations

Useful iterations: done (919.0ms)

IterNodesCost
01542662
14002419
215222112
done50001858

prune869.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes555.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
12725
done2725

end0.0ms

sample9.8s

Algorithm
intervals
Results
4.2s4790×body1280valid
2.3s3764×body640valid
1.0s1893×body320valid
960.0ms4542×body80valid
658.0ms944×body160valid