Details

Time bar (total: 10.5s)

sample33.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify20.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ (atan2 im re) (log 10.0))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (atan2 im re) (log 10.0))

simplify1.6s

Counts
34 → 34

prune110.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
69.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series267.0ms

Counts
2 → 6
Calls
2 calls:
173.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
94.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify859.0ms

Counts
138 → 138

prune438.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
34.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
87.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
6.0ms
(/ 1 (log 10.0))

series302.0ms

Counts
3 → 7
Calls
3 calls:
203.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
98.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify729.0ms

Counts
131 → 131

prune466.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.1b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.8b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
1.0b
(/ 1 (log 10.0))

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
68×times-frac
62×add-sqr-sqrt
59×associate-*l*
54×*-un-lft-identity
53×add-cube-cbrt
34×pow1
24×add-exp-log
22×add-cbrt-cube
21×associate-*r*
17×sqrt-div
13×associate-*r/ log-pow
10×pow-prod-down prod-exp cbrt-unprod
6×frac-times
4×associate-*l/ associate-/r* div-inv add-log-exp unswap-sqr
3×*-commutative associate-/l*
2×div-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
4 → 172
Calls
4 calls:
41.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
87.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
289.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
12.0ms
(/ 1 (log 10.0))

series792.0ms

Counts
4 → 10
Calls
4 calls:
167.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
505.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
119.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
0.0ms
(/ 1 (log 10.0))

simplify1.0s

Counts
182 → 182

prune795.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

-664.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.0s

Algorithm
intervals
Results
745.0ms8000×body80valid