Details

Time bar (total: 10.7s)

sample108.0ms

Algorithm
intervals
Results
44.0ms63×body1280valid
27.0ms54×body640valid
19.0ms204×body80valid
5.0ms17×body320valid
3.0ms13×body160valid

simplify4.0ms

Calls
1 calls:
Slowest
4.0ms
(* (exp re) (sin im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt 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
Calls
1 calls:
Slowest
9.0ms
(* (exp re) (sin im))

series89.0ms

Calls
1 calls:
Slowest
89.0ms
(* (exp re) (sin im))

simplify282.0ms

Calls
11 calls:
Slowest
136.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
114.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
7.0ms
(* (sin im) (exp re))
7.0ms
(* (sin im) (exp re))
4.0ms
(+ re (log (sin im)))

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l* sqrt-prod
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square pow1/2 *-commutative
Calls
4 calls:
Slowest
13.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
5.0ms
(* (sqrt (exp re)) (sin im))
1.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))

series161.0ms

Calls
4 calls:
Slowest
64.0ms
(* (sqrt (exp re)) (sin im))
60.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
19.0ms
(sqrt (exp re))
18.0ms
(sqrt (exp re))

simplify1.3s

Calls
43 calls:
Slowest
407.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
203.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
140.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
132.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
96.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))

prune775.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
1.0ms
(cbrt (exp re))
1.0ms
(cbrt (exp re))
1.0ms
(cbrt (exp re))

series475.0ms

Calls
4 calls:
Slowest
128.0ms
(* (cbrt (exp re)) (cbrt (exp re)))
123.0ms
(cbrt (exp re))
121.0ms
(cbrt (exp re))
104.0ms
(cbrt (exp re))

simplify455.0ms

Calls
41 calls:
Slowest
85.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
60.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
58.0ms
(+ (* 2/3 re) (+ (* 2/9 (pow re 2)) 1))
55.0ms
(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
19.0ms
(pow (pow (exp re) 2) 1/3)

prune868.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (* (exp re) (sin im)))
0.4b
(cbrt (* (exp re) (sin im)))
0.4b
(cbrt (* (exp re) (sin im)))
0.3b
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
7×pow1/3
6×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
5×cbrt-prod
4×add-cbrt-cube associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
13.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
2.0ms
(cbrt (* (exp re) (sin im)))
2.0ms
(cbrt (* (exp re) (sin im)))
2.0ms
(cbrt (* (exp re) (sin im)))

series391.0ms

Calls
4 calls:
Slowest
101.0ms
(cbrt (* (exp re) (sin im)))
100.0ms
(cbrt (* (exp re) (sin im)))
97.0ms
(cbrt (* (exp re) (sin im)))
92.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))

simplify925.0ms

Calls
31 calls:
Slowest
215.0ms
(+ (* 1/3 (* re (pow im 1/3))) (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow im 1/3)))))
164.0ms
(+ (* 1/3 (* re (pow im 1/3))) (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow im 1/3)))))
152.0ms
(+ (* 1/3 (* re (pow im 1/3))) (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow im 1/3)))))
121.0ms
(+ (* 2/9 (* (pow re 2) (pow (pow im 2) 1/3))) (+ (pow im 2/3) (* 2/3 (* re (pow (pow im 2) 1/3)))))
43.0ms
(* (* (exp re) (sin im)) (* (exp re) (sin im)))

prune590.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.3s6912×body80valid
1.2s1492×body1280valid
726.0ms1282×body640valid
318.0ms633×body320valid
73.0ms326×body160valid