Details

Time bar (total: 15.5s)

sample63.0ms

Algorithm
intervals
Results
46.0ms256×body80valid

simplify28.0ms

Calls
1 calls:
Slowest
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×log-pow associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
14.0ms
(/ (log (hypot re im)) (log 10))

series174.0ms

Calls
1 calls:
Slowest
174.0ms
(/ (log (hypot re im)) (log 10))

simplify938.0ms

Calls
34 calls:
Slowest
225.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
155.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
94.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
49.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
36.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log 10)))

prune376.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×associate-*r*
27×sqrt-prod
17×pow1
14×add-exp-log
13×log-pow
9×add-cbrt-cube
6×associate-/r*
4×associate-*l* prod-exp associate-/l*
3×div-exp div-inv
2×expm1-log1p-u cbrt-undiv rec-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
2 calls:
Slowest
15.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
13.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series314.0ms

Calls
2 calls:
Slowest
177.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
137.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify3.2s

Calls
105 calls:
Slowest
421.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))
187.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
183.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
156.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
148.0ms
(* -1 (* (log (/ -1 re)) (sqrt (/ 1 (log 10)))))

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
0.3b
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
12×prod-exp
10×pow1
9×add-cbrt-cube
8×associate-*r*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×rec-exp log-prod
5×associate-*l*
4×pow-prod-down associate-*l/ cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ log-pow un-div-inv
Calls
2 calls:
Slowest
16.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
7.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series320.0ms

Calls
2 calls:
Slowest
203.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
116.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify3.4s

Calls
43 calls:
Slowest
471.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
442.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
419.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
161.0ms
(+ (+ (- (log (sqrt (log 10)))) (log (log (hypot re im)))) (log (/ 1 (sqrt (log 10)))))
140.0ms
(+ (+ (log (/ 1 (sqrt (log 10)))) (log (log (hypot re im)))) (- (log (sqrt (log 10)))))

prune836.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

rewrite10.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))

series468.0ms

Calls
4 calls:
Slowest
127.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
118.0ms
(cbrt (hypot re im))
114.0ms
(cbrt (hypot re im))
109.0ms
(cbrt (hypot re im))

simplify697.0ms

Calls
41 calls:
Slowest
139.0ms
(+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
123.0ms
(+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
100.0ms
(+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
93.0ms
(+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
17.0ms
(pow (/ 1 re) -1/3)

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.6s8000×body80valid