Details

Time bar (total: 18.4s)

sample88.0ms

Algorithm
intervals
Results
30.0ms48×body1280valid
14.0ms207×body80valid
13.0ms37×body640valid
8.0ms35×body320valid
2.0ms16×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
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:
11.0ms
(* (exp re) (cos im))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* (exp re) (cos im))

simplify2.5s

Counts
23 → 23
Iterations
IterNodes
done5001
41647
3662
2211
188
040

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp re) (cos im))
0.1b
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
0.2b
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
0.2b
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
200×pow1
87×pow-prod-down
59×add-cbrt-cube
41×add-exp-log
40×prod-exp cbrt-unprod
38×pow-prod-up
19×pow-plus
16×pow-sqr
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt
5×associate-*r* associate-*l*
4×pow2 expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube unswap-sqr
Counts
4 → 144
Calls
4 calls:
11.0ms
(* (exp re) (cos im))
240.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
67.0ms
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
232.0ms
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (exp re) (cos im))
95.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
55.0ms
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
47.0ms
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))

simplify3.3s

Counts
156 → 156
Iterations
IterNodes
done5000
33796
21043
1302
0116

prune431.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (exp re)) (cos im))
0.1b
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
0.2b
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
0.2b
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))))

rewrite809.0ms

Algorithm
rewrite-expression-head
Rules
114×pow1
87×add-cbrt-cube
72×pow-prod-down
71×add-exp-log
63×prod-exp cbrt-unprod
11×add-sqr-sqrt
8×associate-*l*
7×*-un-lft-identity add-cube-cbrt
5×associate-*r*
4×expm1-log1p-u pow-sqr pow-prod-up sqrt-prod log1p-expm1-u add-log-exp
3×*-commutative
2×pow-plus unswap-sqr
1×cbrt-prod pow2 pow1/3 swap-sqr
Counts
4 → 128
Calls
4 calls:
26.0ms
(* (sqrt (exp re)) (cos im))
391.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
67.0ms
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
313.0ms
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (sqrt (exp re)) (cos im))
109.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
75.0ms
(* (* (exp re) (cos im)) (* (exp re) (cos im)))
62.0ms
(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))))

simplify3.0s

Counts
140 → 140
Iterations
IterNodes
done5001
21972
1439
0155

prune513.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (cos im))
0.0b
(sqrt (cos im))
0.1b
(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-sqr-sqrt sqrt-prod
8×add-cbrt-cube
7×*-un-lft-identity add-exp-log add-cube-cbrt
6×associate-*r*
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*l* *-commutative
Counts
3 → 53
Calls
3 calls:
3.0ms
(sqrt (cos im))
3.0ms
(sqrt (cos im))
67.0ms
(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (cos im))
26.0ms
(sqrt (cos im))
46.0ms
(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))

simplify3.3s

Counts
62 → 62
Iterations
IterNodes
done5002
42962
31482
2498
1160
064

prune219.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample2.4s

Algorithm
intervals
Results
842.0ms6915×body80valid
686.0ms1492×body1280valid
337.0ms1187×body640valid
245.0ms678×body320valid
40.0ms323×body160valid