Details

Time bar (total: 3.2s)

sample50.0ms

Algorithm
intervals
Results
19.0ms56×body1280valid
10.0ms228×body80valid
8.0ms40×body640valid
3.0ms19×body320valid
1.0ms6×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp re) (cos im))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (exp re) (cos im))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (exp re) (cos im))

simplify154.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 4 (149.0ms)

IterNodesCost
082105
126892
2105092
3426092
4500191

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (exp re))
0.0b
(sqrt (exp re))
0.0b
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1
9×add-cube-cbrt *-un-lft-identity sqrt-prod
8×add-exp-log sqrt-pow1 add-cbrt-cube
6×exp-prod associate-*l*
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2
1×associate-*r* *-commutative
Counts
3 → 59
Calls
3 calls:
2.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))
21.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series59.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sqrt (exp re))
12.0ms
(sqrt (exp re))
35.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
0135304
1393260
21012254
32372245
45001243

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp re))
0.0b
(sqrt (exp re))
0.0b
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
0.0b
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (cos im)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
76×sqrt-pow1
75×sqrt-prod
60×add-sqr-sqrt
38×pow1
28×add-cube-cbrt *-un-lft-identity
24×exp-prod
18×pow1/2
15×add-exp-log swap-sqr associate-*l* add-cbrt-cube
14×pow-prod-down
12×pow-prod-up
10×associate-*r*
9×unswap-sqr
8×pow-sqr
7×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 148
Calls
4 calls:
1.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))
20.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
161.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (cos im)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (exp re))
12.0ms
(sqrt (exp re))
12.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
35.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (cos im)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0303804
11361631
25002605

prune307.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp re))
0.0b
(exp (sqrt (exp re)))
0.0b
(log (exp (sqrt (exp re))))
0.0b
(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×exp-prod
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity log-pow
12×pow1 sqrt-prod
10×associate-*l*
9×add-exp-log add-cbrt-cube
5×add-log-exp
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u
3×log-prod pow-prod-down prod-exp cbrt-unprod
1×rem-sqrt-square pow1/2 rem-log-exp associate-*r* *-commutative rem-exp-log
Counts
4 → 81
Calls
4 calls:
1.0ms
(sqrt (exp re))
2.0ms
(exp (sqrt (exp re)))
2.0ms
(log (exp (sqrt (exp re))))
22.0ms
(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (exp re))
32.0ms
(exp (sqrt (exp re)))
11.0ms
(log (exp (sqrt (exp re))))
36.0ms
(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0214494
1642402
22249401
35001381

prune230.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample1.3s

Algorithm
intervals
Results
500.0ms1563×body1280valid
285.0ms6987×body80valid
229.0ms1222×body640valid
77.0ms591×body320valid
29.0ms341×body160valid