Details

Time bar (total: 13.5s)

sample47.0ms

Algorithm
intervals
Results
16.0ms43×body1280valid
9.0ms208×body80valid
8.0ms37×body640valid
2.0ms17×body320valid
1.0ms15×body160valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05172
16172
done6172

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
add-exp-log
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
12.0ms
(* (exp re) (sin im))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (exp re) (sin im))

simplify2.0s

Counts
21 → 21
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0404894
1934682
23804492
325714492
done50014492

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
12×associate-*l*
11×add-cbrt-cube add-exp-log
sqrt-pow1
exp-prod
associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 75
Calls
4 calls:
4.0ms
(sqrt (exp re))
4.0ms
(sqrt (exp re))
26.0ms
(* (sqrt (exp re)) (sin im))
71.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (exp re))
24.0ms
(sqrt (exp re))
70.0ms
(* (sqrt (exp re)) (sin im))
51.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify1.1s

Counts
87 → 87
Iterations

Useful iterations: done (1.1s)

IterNodesCost
08120368
118118911
275117751
done500017181

prune430.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite544.0ms

Algorithm
rewrite-expression-head
Rules
79×sqrt-prod
78×sqrt-pow1
61×add-sqr-sqrt
43×pow1
28×*-un-lft-identity add-cube-cbrt
21×exp-prod
20×add-cbrt-cube add-exp-log
18×pow1/2
17×pow-prod-down
16×associate-*l*
15×swap-sqr
13×associate-*r*
12×pow-prod-up
10×prod-exp cbrt-unprod unswap-sqr
pow-sqr
add-log-exp
*-commutative
rem-sqrt-square
pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 149
Calls
4 calls:
6.0ms
(sqrt (sqrt (exp re)))
142.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
334.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
52.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(sqrt (sqrt (exp re)))
61.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
47.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
19.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify3.5s

Counts
161 → 161
Iterations

Useful iterations: done (3.5s)

IterNodesCost
016444747
139032840
2242230840
done500130640

prune618.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (exp re)) (sin im))
0.0b
(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
0.1b
(exp (* (sqrt (exp re)) (sin im)))
1.5b
(log (exp (* (sqrt (exp re)) (sin im))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×associate-*l*
10×pow1
log-prod associate-*r*
add-cbrt-cube add-exp-log sqrt-prod add-log-exp
log-pow
unswap-sqr
distribute-rgt-in exp-prod distribute-lft-in exp-to-pow
pow-prod-down prod-exp *-commutative cbrt-unprod
rem-log-exp rem-exp-log
Counts
4 → 77
Calls
4 calls:
28.0ms
(* (sqrt (exp re)) (sin im))
33.0ms
(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
11.0ms
(exp (* (sqrt (exp re)) (sin im)))
6.0ms
(log (exp (* (sqrt (exp re)) (sin im))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (sqrt (exp re)) (sin im))
48.0ms
(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
82.0ms
(exp (* (sqrt (exp re)) (sin im)))
59.0ms
(log (exp (* (sqrt (exp re)) (sin im))))

simplify933.0ms

Counts
89 → 89
Iterations

Useful iterations: done (926.0ms)

IterNodesCost
09934000
120627894
281226352
done500126272

prune354.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05172
16172
done6172

end0.0ms

sample2.7s

Algorithm
intervals
Results
716.0ms1496×body1280valid
642.0ms6951×body80valid
567.0ms599×body320valid
400.0ms1311×body640valid
42.0ms349×body160valid