Details

Time bar (total: 16.9s)

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

localize24.0ms

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))

rewrite8.0ms

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)
1.0ms
(log (hypot re im))
6.0ms
(/ (log (hypot re im)) (log 10))

series417.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(hypot re im)
124.0ms
(log (hypot re im))
228.0ms
(/ (log (hypot re im)) (log 10))

simplify4.1s

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

prune405.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
102×log-pow
68×times-frac
56×sqrt-pow1 pow1/2
47×add-sqr-sqrt
35×*-un-lft-identity pow-prod-up add-cube-cbrt
21×pow-prod-down pow-sqr
18×sqrt-prod
17×associate-/l*
11×add-exp-log
8×add-cbrt-cube swap-sqr
7×pow2 pow-plus
6×associate-*r* associate-*l*
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×rem-log-exp prod-exp
1×cbrt-undiv log-prod hypot-udef clear-num rem-square-sqrt frac-2neg sqrt-unprod div-exp *-commutative cbrt-unprod div-inv
Counts
4 → 194
Calls
4 calls:
0.0ms
(hypot re im)
15.0ms
(log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
50.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log 10))
9.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(hypot re im)
108.0ms
(log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
236.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log 10))
57.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify1.5s

Counts
206 → 206
Iterations
IterNodes
done5000
31433
2599
1333
0178

prune737.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
89×add-sqr-sqrt
70×sqrt-prod
61×log-pow
59×*-un-lft-identity add-cube-cbrt
51×pow1
46×associate-*r*
25×associate-*l*
17×add-cbrt-cube add-exp-log
15×sqrt-pow1 pow1/2
9×unswap-sqr
7×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times hypot-udef clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 184
Calls
3 calls:
0.0ms
(hypot re im)
26.0ms
(* (/ 2 (sqrt (log 10))) (/ (log (sqrt (hypot re im))) (sqrt (log 10))))
19.0ms
(/ (log (sqrt (hypot re im))) (sqrt (log 10)))

series859.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot re im)
375.0ms
(* (/ 2 (sqrt (log 10))) (/ (log (sqrt (hypot re im))) (sqrt (log 10))))
400.0ms
(/ (log (sqrt (hypot re im))) (sqrt (log 10)))

simplify2.0s

Counts
193 → 193
Iterations
IterNodes
done5000
22344
1679
0245

prune815.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize32.0ms

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
46×times-frac
44×add-sqr-sqrt
34×*-un-lft-identity
32×add-cube-cbrt
31×associate-*l*
29×add-cbrt-cube
26×associate-*r* sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
9×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp un-div-inv insert-posit16 log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef sqrt-pow1 pow1/2 associate-*l/
Counts
3 → 127
Calls
3 calls:
0.0ms
(hypot re im)
51.0ms
(* (/ 2 (sqrt (log 10))) (* (log (sqrt (hypot re im))) (/ 1 (sqrt (log 10)))))
14.0ms
(* (log (sqrt (hypot re im))) (/ 1 (sqrt (log 10))))

series862.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(hypot re im)
389.0ms
(* (/ 2 (sqrt (log 10))) (* (log (sqrt (hypot re im))) (/ 1 (sqrt (log 10)))))
409.0ms
(* (log (sqrt (hypot re im))) (/ 1 (sqrt (log 10))))

simplify1.8s

Counts
136 → 136
Iterations
IterNodes
done5000
22032
1610
0230

prune616.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s8000×body80valid