Details

Time bar (total: 11.5s)

sample42.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify20.0ms

Counts
1 → 1

prune22.0ms

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))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×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
Counts
1 → 39
Calls
1 calls:
Slowest
28.0ms
(/ (log (hypot re im)) (log 10))

series196.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
196.0ms
(/ (log (hypot re im)) (log 10))

simplify516.0ms

Counts
59 → 42

prune438.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (hypot re im)) (sqrt (log 10)))
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
Slowest
41.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
19.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series559.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
324.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
235.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify656.0ms

Counts
203 → 159

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
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/ un-div-inv
Counts
2 → 128
Calls
2 calls:
Slowest
63.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
30.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series474.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
303.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
171.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify605.0ms

Counts
143 → 134

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
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/ un-div-inv
Counts
2 → 128
Calls
2 calls:
Slowest
80.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
25.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series564.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
363.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
201.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify578.0ms

Counts
143 → 134

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid