Details

Time bar (total: 23.8s)

sample43.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
113
010

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

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))

rewrite10.0ms

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))
7.0ms
(/ (log (hypot re im)) (log 10))

series373.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(hypot re im)
94.0ms
(log (hypot re im))
216.0ms
(/ (log (hypot re im)) (log 10))

simplify4.5s

Counts
74 → 74
Iterations
IterNodes
55205
41972
3690
2284
1149
090

prune870.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (hypot re im))
0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt times-frac
59×*-un-lft-identity sqrt-prod
53×add-cube-cbrt
34×pow1
32×associate-*r*
29×add-exp-log
28×log-pow
25×associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×log-prod div-inv
2×rec-exp 1-exp
1×frac-times hypot-udef clear-num frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 179
Calls
4 calls:
1.0ms
(log (hypot re im))
0.0ms
(hypot re im)
41.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
17.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series661.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(log (hypot re im))
80.0ms
(hypot re im)
204.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
290.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify1.5s

Counts
191 → 191
Iterations
IterNodes
33101
21339
1505
0200

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
48×add-sqr-sqrt
46×times-frac
40×prod-exp
38×*-un-lft-identity
36×add-cube-cbrt
30×add-cbrt-cube
29×associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
19×pow1
12×cbrt-unprod
10×rec-exp 1-exp
9×log-prod
8×log-pow
6×cbrt-undiv
5×unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×*-commutative div-inv
1×frac-times hypot-udef rem-log-exp associate-*r/ un-div-inv
Counts
4 → 154
Calls
4 calls:
1.0ms
(log (hypot re im))
0.0ms
(hypot re im)
66.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
18.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(log (hypot re im))
64.0ms
(hypot re im)
214.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
289.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

simplify1.8s

Counts
166 → 166
Iterations
IterNodes
32965
21390
1538
0209

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
64×add-sqr-sqrt
60×associate-*r*
54×*-un-lft-identity
52×add-cube-cbrt
51×add-exp-log
32×add-cbrt-cube
31×pow1
28×prod-exp
27×associate-*l*
16×cbrt-unprod
13×associate-*l/
11×log-pow
10×sqrt-div pow-prod-down
9×log-prod
6×frac-times div-exp
5×unswap-sqr
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in cbrt-undiv rec-exp distribute-lft-in 1-exp *-commutative div-inv
1×rem-log-exp
Counts
4 → 187
Calls
4 calls:
1.0ms
(log (hypot re im))
85.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
177.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
28.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series1.2s

Counts
4 → 12
Calls
4 calls:
137.0ms
(log (hypot re im))
549.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
206.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
315.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

simplify2.9s

Counts
199 → 199
Iterations
IterNodes
35511
21852
1695
0266

prune2.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes140.0ms

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
215
115
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid