Details

Time bar (total: 8.6s)

sample101.0ms

Algorithm
intervals
Results
47.0ms43×body1280valid
20.0ms237×body80valid
17.0ms39×body640valid
6.0ms20×body320valid
1.0ms4×body160valid

simplify13.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(* (exp re) (cos im))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
23.0ms
(* (exp re) (cos im))

series61.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
61.0ms
(* (exp re) (cos im))

simplify483.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
325.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
96.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
8.0ms
(+ re (log (cos im)))
8.0ms
(* (exp re) (cos im))
7.0ms
(* (cbrt (exp re)) (cbrt (exp re)))

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))

rewrite21.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
Slowest
11.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
3.0ms
(cbrt (exp re))
3.0ms
(cbrt (exp re))
2.0ms
(cbrt (exp re))

series467.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
155.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
104.0ms
(cbrt (exp re))
104.0ms
(cbrt (exp re))
103.0ms
(cbrt (exp re))

simplify915.0ms

Counts
65 → 97
Calls
65 calls:
Slowest
111.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
100.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
97.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
94.0ms
(+ (* 2/3 re) (+ (* 2/9 (pow re 2)) 1))
71.0ms
(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×pow1 log-prod add-log-exp
5×exp-prod
4×add-exp-log distribute-lft-out
3×expm1-log1p-u associate-+r+ fma-def add-cbrt-cube log-pow insert-posit16 log1p-expm1-u
2×sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum flip-+
Counts
3 → 55
Calls
3 calls:
Slowest
28.0ms
(exp (+ re (log (cos im))))
12.0ms
(+ re (log (cos im)))
4.0ms
(log (cos im))

series190.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
105.0ms
(log (cos im))
57.0ms
(+ re (log (cos im)))
28.0ms
(exp (+ re (log (cos im))))

simplify550.0ms

Counts
29 → 64
Calls
29 calls:
Slowest
169.0ms
(- (+ (* 1/2 (pow im 2)) (+ (* 1/12 (pow im 4)) (* 1/45 (pow im 6)))))
96.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
96.0ms
(exp (* (cbrt (+ re (log (cos im)))) (cbrt (+ re (log (cos im))))))
45.0ms
(- re (* 1/2 (pow im 2)))
18.0ms
(exp (+ (log (cos im)) re))

prune629.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.2s1516×body1280valid
1.1s6990×body80valid
667.0ms1247×body640valid
229.0ms629×body320valid
57.0ms300×body160valid