Details

Time bar (total: 11.9s)

sample121.0ms

Algorithm
intervals
Results
59.0ms256×body80valid
41.0ms223×body80nan

simplify832.0ms

Counts
1 → 1
Iterations
IterNodes
done2005
7666
6215
580
475
351
236
126
018

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.3b
(/ (log (hypot re im)) (log base))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 50
Calls
2 calls:
0.0ms
(hypot re im)
7.0ms
(/ (log (hypot re im)) (log base))

series255.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(hypot re im)
171.0ms
(/ (log (hypot re im)) (log base))

simplify935.0ms

Counts
56 → 56
Iterations
IterNodes
done2010
41929
3662
2305
1140
085

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.3b
(/ (log (* 1 (hypot re im))) (log base))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
20×times-frac
16×log-pow
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow-prod-down associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 55
Calls
2 calls:
1.0ms
(hypot re im)
31.0ms
(/ (log (* 1 (hypot re im))) (log base))

series192.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(hypot re im)
124.0ms
(/ (log (* 1 (hypot re im))) (log base))

simplify931.0ms

Counts
61 → 61
Iterations
IterNodes
done2002
3653
2275
1143
087

prune250.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(/ 1 (log base))
0.3b
(* (log (hypot re im)) (/ 1 (log base)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
16×associate-*r* add-exp-log
14×pow1
10×add-cbrt-cube
8×log-pow
4×associate-/r* div-exp associate-*l* prod-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×hypot-udef clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 92
Calls
3 calls:
0.0ms
(hypot re im)
6.0ms
(/ 1 (log base))
15.0ms
(* (log (hypot re im)) (/ 1 (log base)))

series418.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(hypot re im)
215.0ms
(/ 1 (log base))
135.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify719.0ms

Counts
101 → 101
Iterations
IterNodes
done2000
31330
2713
1253
0125

prune361.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(/ 1 (/ (log base) (log (hypot re im))))
0.4b
(/ (log base) (log (hypot re im)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
70×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×pow1
42×log-pow
24×associate-/r*
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×hypot-udef associate-/r/ pow-flip inv-pow
Counts
3 → 157
Calls
3 calls:
0.0ms
(hypot re im)
7.0ms
(/ 1 (/ (log base) (log (hypot re im))))
8.0ms
(/ (log base) (log (hypot re im)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(hypot re im)
136.0ms
(/ 1 (/ (log base) (log (hypot re im))))
159.0ms
(/ (log base) (log (hypot re im)))

simplify657.0ms

Counts
166 → 166
Iterations
IterNodes
done2001
2879
1416
0189

prune448.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes346.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.2s8000×body80valid
1.9s7951×body80nan