Details

Time bar (total: 21.2s)

sample37.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
16
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (atan2 im re) (log 10))

simplify3.3s

Counts
36 → 36
Iterations
IterNodes
54977
41885
3586
2236
189
054

prune310.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.7b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite24.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 136
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10)))
17.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series209.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(/ (atan2 im re) (sqrt (log 10)))
82.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify3.0s

Counts
142 → 142
Iterations
IterNodes
33205
21186
1435
0161

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.7b
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×add-cbrt-cube associate-*l*
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
38.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series210.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
84.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify2.4s

Counts
127 → 127
Iterations
IterNodes
33063
21179
1432
0161

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.1b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))
0.7b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt
59×associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
28×pow1 prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down
9×log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 169
Calls
3 calls:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
53.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))
120.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))

series704.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
444.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))
110.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))

simplify4.9s

Counts
178 → 178
Iterations
IterNodes
34608
21456
1551
0215

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
218
118
014

end0.0ms

sample753.0ms

Algorithm
intervals
Results
608.0ms8000×body80valid