Details

Time bar (total: 17.1s)

sample35.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06253
done6253

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite25.0ms

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:
23.0ms
(/ (atan2 im re) (log 10.0))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (atan2 im re) (log 10.0))

simplify4.7s

Counts
36 → 36
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05414117
19113681
223613601
359113601
4164113601
5357713601
done500013601

prune200.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite71.0ms

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:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series247.0ms

Counts
2 → 6
Calls
2 calls:
165.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
81.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.3s

Counts
142 → 142
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
016272290
144067681
2125161554
3277061114
done500161114

prune542.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.7b
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

rewrite153.0ms

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-*r*
26×associate-*l* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×unswap-sqr
4×pow-prod-down associate-*l/
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 119
Calls
2 calls:
44.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
99.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series261.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
112.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify5.6s

Counts
125 → 125
Iterations

Useful iterations: 2 (682.0ms)

IterNodesCost
016258935
144647761
2113442728
3257142728
done500142728

prune485.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 123
Calls
2 calls:
17.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
8.0ms
(/ (log 10.0) (atan2 im re))

series174.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
85.0ms
(/ (log 10.0) (atan2 im re))

simplify118.0ms

Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
015363328