Details

Time bar (total: 9.2s)

sample103.0ms

Algorithm
intervals
Results
33.0ms41×body640valid
30.0ms47×body1280valid
21.0ms218×body80valid
7.0ms21×body320valid
1.0ms3×body160valid

simplify4.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
4.0ms
(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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
21.0ms
(* (exp re) (cos im))

series66.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
66.0ms
(* (exp re) (cos im))

simplify391.0ms

Counts
13 → 22
Calls
13 calls:
Slowest
275.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
72.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
7.0ms
(* (cos im) (exp re))
7.0ms
(* (cos im) (exp re))
5.0ms
(* (sqrt (exp re)) (sqrt (cos im)))

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cos im))
0.4b
(cbrt (cos im))
0.4b
(cbrt (cos im))
0.3b
(* (cbrt (cos im)) (cbrt (cos im)))

rewrite30.0ms

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
21.0ms
(* (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
208.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
166.0ms
(cbrt (cos im))
151.0ms
(cbrt (cos im))
139.0ms
(cbrt (cos im))

simplify1.4s

Counts
65 → 89
Calls
65 calls:
Slowest
330.0ms
(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
180.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
156.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
155.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
103.0ms
(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune860.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.5b
(log (exp (* (exp re) (cos im))))
0.1b
(exp (* (exp re) (cos im)))
0.0b
(* (exp re) (cos im))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt add-log-exp
5×add-cbrt-cube
4×add-exp-log
3×log-prod associate-*r* associate-*l* log-pow insert-posit16
2×exp-prod exp-to-pow
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr rem-exp-log
Counts
3 → 45
Calls
3 calls:
Slowest
12.0ms
(* (exp re) (cos im))
8.0ms
(exp (* (exp re) (cos im)))
4.0ms
(log (exp (* (exp re) (cos im))))

series163.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
61.0ms
(exp (* (exp re) (cos im)))
59.0ms
(* (exp re) (cos im))
43.0ms
(log (exp (* (exp re) (cos im))))

simplify918.0ms

Counts
28 → 54
Calls
28 calls:
Slowest
358.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
106.0ms
(log (sqrt (exp (* (exp re) (cos im)))))
103.0ms
(+ (* (pow re 2) E) (+ (* re E) E))
86.0ms
(log (* (cbrt (exp (* (exp re) (cos im)))) (cbrt (exp (* (exp re) (cos im))))))
71.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))

prune609.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.6s1491×body1280valid
754.0ms6969×body80valid
635.0ms1315×body640valid
217.0ms590×body320valid
56.0ms289×body160valid