Details

Time bar (total: 10.5s)

sample74.0ms

Algorithm
intervals
Results
22.0ms37×body1280valid
18.0ms223×body80valid
17.0ms42×body640valid
5.0ms20×body320valid
2.0ms11×body160valid

simplify10.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
10.0ms
(* (exp re) (cos im))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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×pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
Slowest
13.0ms
(* (exp re) (cos im))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(* (exp re) (cos im))

simplify477.0ms

Counts
13 → 22
Calls
13 calls:
Slowest
364.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
71.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
7.0ms
(* (exp re) (cos im))
7.0ms
(+ re (log (cos im)))
5.0ms
(* (sqrt (exp re)) (sqrt (cos im)))

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.2b
(* (cbrt (cos im)) (cbrt (cos im)))

rewrite28.0ms

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×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
Slowest
20.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
2.0ms
(cbrt (cos im))
2.0ms
(cbrt (cos im))
2.0ms
(cbrt (cos im))

series664.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
236.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
168.0ms
(cbrt (cos im))
149.0ms
(cbrt (cos im))
111.0ms
(cbrt (cos im))

simplify1.3s

Counts
65 → 89
Calls
65 calls:
Slowest
401.0ms
(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
172.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
171.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
156.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
65.0ms
(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.2b
(* (cbrt (cos im)) (cbrt (cos im)))

rewrite25.0ms

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×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
Slowest
20.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms
(cbrt (cos im))
1.0ms
(cbrt (cos im))
1.0ms
(cbrt (cos im))

series677.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
251.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
164.0ms
(cbrt (cos im))
137.0ms
(cbrt (cos im))
125.0ms
(cbrt (cos im))

simplify1.4s

Counts
65 → 89
Calls
65 calls:
Slowest
438.0ms
(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
150.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
148.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
127.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
105.0ms
(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s1561×body1280valid
756.0ms6778×body80valid
549.0ms1191×body640valid
178.0ms618×body320valid
63.0ms323×body160valid