Details

Time bar (total: 19.7s)

sample32.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.0b
(log (hypot re im))
0.5b
(/ (log (hypot re im)) (log 10))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
14×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
11×log-pow
6×add-exp-log
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×expm1-log1p-u log-prod insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
3 → 65
Calls
3 calls:
0.0ms
(hypot re im)
2.0ms
(log (hypot re im))
15.0ms
(/ (log (hypot re im)) (log 10))

series412.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(hypot re im)
111.0ms
(log (hypot re im))
216.0ms
(/ (log (hypot re im)) (log 10))

simplify4.4s

Counts
74 → 74
Iterations
IterNodes
done5001
54656
41877
3680
2286
1149
090

prune348.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot re im)
0.0b
(log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
0.5b
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log 10))
0.5b
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
102×log-pow
68×add-sqr-sqrt times-frac
56×sqrt-pow1 pow1/2
44×*-un-lft-identity add-cube-cbrt
36×sqrt-prod
35×pow-prod-up
29×log-prod
21×pow-prod-down pow-sqr
17×associate-/l*
16×swap-sqr
12×associate-*r* associate-*l*
11×add-exp-log
8×add-cbrt-cube unswap-sqr
7×pow2 pow-plus
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×rem-log-exp prod-exp *-commutative
1×cbrt-undiv hypot-udef clear-num rem-square-sqrt frac-2neg sqrt-unprod div-exp cbrt-unprod div-inv
Counts
4 → 222
Calls
4 calls:
0.0ms
(hypot re im)
16.0ms
(log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
49.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log 10))
14.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(hypot re im)
117.0ms
(log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
224.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log 10))
90.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify2.1s

Counts
234 → 234
Iterations
IterNodes
done5003
31732
2672
1372
0202

prune719.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 2 (sqrt (log 10))) (/ (log (sqrt (hypot re im))) (sqrt (log 10))))
0.4b
(/ (log (sqrt (hypot re im))) (sqrt (log 10)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
224×associate-/r*
208×frac-times
194×sqrt-prod
182×add-sqr-sqrt
153×*-un-lft-identity
152×add-cube-cbrt
143×associate-/l*
135×log-pow
117×times-frac
111×pow1
46×associate-*r*
33×clear-num
32×frac-2neg
29×sqrt-pow1 pow1/2
25×associate-*l*
17×add-cbrt-cube add-exp-log
16×associate-*r/
13×associate-*l/
9×unswap-sqr
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u un-div-inv insert-posit16 log1p-expm1-u div-inv add-log-exp
1×hypot-udef pow-prod-down *-commutative
Counts
3 → 421
Calls
3 calls:
0.0ms
(hypot re im)
91.0ms
(* (/ 2 (sqrt (log 10))) (/ (log (sqrt (hypot re im))) (sqrt (log 10))))
13.0ms
(/ (log (sqrt (hypot re im))) (sqrt (log 10)))

series745.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(hypot re im)
324.0ms
(* (/ 2 (sqrt (log 10))) (/ (log (sqrt (hypot re im))) (sqrt (log 10))))
353.0ms
(/ (log (sqrt (hypot re im))) (sqrt (log 10)))

simplify1.5s

Counts
430 → 430
Iterations
IterNodes
done5001
11604
0461

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im)))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
208×associate-*l/
203×associate-/r*
173×sqrt-prod
169×frac-times
148×*-un-lft-identity
139×add-cube-cbrt
93×times-frac
89×associate-*l*
88×associate-/l*
52×pow1
47×add-exp-log
44×log-pow
41×unswap-sqr
37×associate-*r*
30×clear-num
29×frac-2neg add-cbrt-cube
22×prod-exp
13×associate-*r/
12×log-prod cbrt-unprod
11×div-exp
6×distribute-rgt-in cbrt-undiv distribute-lft-in
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
2×sqrt-pow1 pow1/2
1×hypot-udef
Counts
3 → 399
Calls
3 calls:
0.0ms
(hypot re im)
213.0ms
(* (* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im)))) (/ 1 (sqrt (log 10))))
57.0ms
(* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im))))

series909.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(hypot re im)
328.0ms
(* (* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im)))) (/ 1 (sqrt (log 10))))
492.0ms
(* (/ 2 (sqrt (log 10))) (log (sqrt (hypot re im))))

simplify3.0s

Counts
408 → 408
Iterations
IterNodes
done5000
24934
11681
0476

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s8000×body80valid