Details

Time bar (total: 26.4s)

sample273.0ms

Algorithm
intervals
Results
108.0ms147×body1280valid
96.0ms115×body640valid
16.0ms56×body320valid
14.0ms148×body80valid
5.0ms28×body160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23911
39011
428011
5158911
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.2b
(- (exp (- im)) (exp im))

rewrite90.0ms

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-cbrt-cube add-exp-log
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/ log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 74
Calls
2 calls:
65.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
23.0ms
(- (exp (- im)) (exp im))

series128.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
39.0ms
(- (exp (- im)) (exp im))

simplify1.9s

Counts
80 → 80
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01441741
14081406
227111109
done5001950

prune308.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
8×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×fma-udef
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×distribute-neg-in
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative distribute-rgt-neg-out
Counts
3 → 50
Calls
3 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
0.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
20.0ms
(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series531.0ms

Counts
3 → 9
Calls
3 calls:
209.0ms
(fma 1/60 (pow im 5) (* 2 im))
77.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
245.0ms
(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify1.0s

Counts
59 → 59
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
01061126
12871097
21636945
done5000945

prune373.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))))
13.9b
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
13.9b
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
13.9b
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
60.0ms
(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))))
25.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
25.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
17.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
609.0ms
(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))))
473.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
456.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))
456.0ms
(cbrt (* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))))))

simplify755.0ms

Counts
78 → 78
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
01432802
13712592
215032242
done50011904

prune922.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* 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 → 81
Calls
4 calls:
14.0ms
(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
9.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))

series3.6s

Counts
4 → 12
Calls
4 calls:
919.0ms
(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
876.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
855.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
916.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))

simplify878.0ms

Counts
93 → 93
Iterations

Useful iterations: done (873.0ms)

IterNodesCost
01362096
13121964
29701832
done50001580

prune978.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes740.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01719
12219
22619
33319
done3319

end0.0ms

sample9.8s

Algorithm
intervals
Results
4.6s4715×body1280valid
2.9s3750×body640valid
827.0ms1919×body320valid
537.0ms4466×body80valid
235.0ms926×body160valid