Details

Time bar (total: 8.4s)

sample103.0ms

Algorithm
intervals
Results
34.0ms43×body1280valid
26.0ms237×body80valid
21.0ms39×body640valid
7.0ms20×body320valid
1.0ms4×body160valid

simplify7.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
7.0ms
(* (exp re) (cos im))

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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
23.0ms
(* (exp re) (cos im))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(* (exp re) (cos im))

simplify497.0ms

Counts
13 → 22
Calls
13 calls:
Slowest
381.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
59.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
10.0ms
(* (sqrt (exp re)) (sqrt (cos im)))
10.0ms
(* (sqrt (exp re)) (sqrt (cos im)))
6.0ms
(* (cbrt (exp re)) (cbrt (exp re)))

prune246.0ms

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
(cbrt (exp re))
0.0b
(cbrt (exp re))
0.0b
(cbrt (exp re))
0.0b
(* (cbrt (exp re)) (cbrt (exp re)))

rewrite22.0ms

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
12.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms
(cbrt (exp re))
2.0ms
(cbrt (exp re))
2.0ms
(cbrt (exp re))

series418.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(cbrt (exp re))
114.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
96.0ms
(cbrt (exp re))
91.0ms
(cbrt (exp re))

simplify738.0ms

Counts
65 → 89
Calls
65 calls:
Slowest
79.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
72.0ms
(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))))
70.0ms
(+ (* 2/3 re) (+ (* 2/9 (pow re 2)) 1))
59.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
47.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.7b
(log (cos im))
0.0b
(exp (+ re (log (cos im))))
0.0b
(+ re (log (cos im)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
6×add-sqr-sqrt pow1 log-prod add-cube-cbrt add-log-exp
5×exp-prod
4×add-exp-log distribute-lft-out
3×associate-+r+ add-cbrt-cube log-pow insert-posit16
2×sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum flip-+
Counts
3 → 46
Calls
3 calls:
Slowest
24.0ms
(exp (+ re (log (cos im))))
6.0ms
(+ re (log (cos im)))
4.0ms
(log (cos im))

series270.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(log (cos im))
74.0ms
(+ re (log (cos im)))
47.0ms
(exp (+ re (log (cos im))))

simplify704.0ms

Counts
27 → 55
Calls
27 calls:
Slowest
372.0ms
(- (+ (* 1/2 (pow im 2)) (+ (* 1/12 (pow im 4)) (* 1/45 (pow im 6)))))
106.0ms
(exp (* (cbrt (+ re (log (cos im)))) (cbrt (+ re (log (cos im))))))
51.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
42.0ms
(- re (* 1/2 (pow im 2)))
16.0ms
(exp (+ (log (cos im)) re))

prune510.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

sample3.5s

Algorithm
intervals
Results
1.7s1516×body1280valid
752.0ms6990×body80valid
632.0ms1247×body640valid
185.0ms629×body320valid
60.0ms300×body160valid