Details

Time bar (total: 3.1s)

sample48.0ms

Algorithm
intervals
Results
17.0ms56×body1280valid
11.0ms228×body80valid
7.0ms40×body640valid
2.0ms19×body320valid
1.0ms6×body160valid

simplify3.0ms

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

localize5.0ms

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×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
6.0ms
(* (exp re) (cos im))

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (exp re) (cos im))

simplify139.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07998
126485
2102085
3410685
4500285

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite28.0ms

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×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square pow1/2
1×associate-*r* *-commutative
Counts
3 → 53
Calls
3 calls:
1.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))
24.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sqrt (exp re))
12.0ms
(sqrt (exp re))
33.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify80.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0129279
1383235
2972229
32222223
45002223

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp re))
0.0b
(cbrt (pow (sqrt (exp re)) 3))
0.0b
(* (sqrt (exp re)) (* (cbrt (pow (sqrt (exp re)) 3)) (cos im)))
0.0b
(pow (sqrt (exp re)) 3)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
18×cbrt-prod sqrt-prod
12×pow1 unpow-prod-down cube-prod
10×add-exp-log
9×add-cbrt-cube
8×sqrt-pow1
6×exp-prod pow-pow associate-*l*
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×cube-mult pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 associate-*r* pow-exp *-commutative sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 99
Calls
4 calls:
1.0ms
(sqrt (exp re))
3.0ms
(cbrt (pow (sqrt (exp re)) 3))
22.0ms
(* (sqrt (exp re)) (* (cbrt (pow (sqrt (exp re)) 3)) (cos im)))
3.0ms
(pow (sqrt (exp re)) 3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (exp re))
12.0ms
(cbrt (pow (sqrt (exp re)) 3))
35.0ms
(* (sqrt (exp re)) (* (cbrt (pow (sqrt (exp re)) 3)) (cos im)))
31.0ms
(pow (sqrt (exp re)) 3)

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0263522
11200435
25001410

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))
0.0b
(* (sqrt (exp re)) (* (cbrt (* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))) (cos im)))
0.0b
(pow (sqrt (exp re)) 3)
0.0b
(pow (sqrt (exp re)) 3)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
285×sqrt-prod
154×add-sqr-sqrt
84×unpow-prod-down cube-prod
50×add-cube-cbrt *-un-lft-identity
49×unswap-sqr
43×swap-sqr
27×associate-*l*
22×associate-*r*
20×pow1 sqr-pow
14×sqrt-pow1
13×add-exp-log
12×pow-pow add-cbrt-cube
8×pow1/2
6×cube-mult pow-unpow exp-prod unpow3 pow-prod-down
4×prod-exp cbrt-unprod add-log-exp
3×pow-sqr pow-prod-up
2×pow-to-exp pow-exp *-commutative sqrt-pow2 rem-cube-cbrt
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 248
Calls
4 calls:
32.0ms
(* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))
19.0ms
(* (sqrt (exp re)) (* (cbrt (* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))) (cos im)))
3.0ms
(pow (sqrt (exp re)) 3)
3.0ms
(pow (sqrt (exp re)) 3)

series133.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))
37.0ms
(* (sqrt (exp re)) (* (cbrt (* (sqrt (pow (sqrt (exp re)) 3)) (sqrt (pow (sqrt (exp re)) 3)))) (cos im)))
31.0ms
(pow (sqrt (exp re)) 3)
32.0ms
(pow (sqrt (exp re)) 3)

simplify87.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
03562093
119381813
250011545

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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
507.0ms1563×body1280valid
271.0ms6987×body80valid
229.0ms1222×body640valid
72.0ms591×body320valid
28.0ms341×body160valid