Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log 10.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (atan2 im re) (log 10.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune80.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))))

rewrite43.0ms

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 frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
33.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
56.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04101455
118891262
250011154

prune258.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite51.0ms

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 expm1-log1p-u rec-exp sqrt-div 1-exp log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 130
Calls
3 calls:
12.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
3.0ms
(/ 1 (log 10.0))

series174.0ms

Counts
3 → 7
Calls
3 calls:
109.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03691030
11664885
25002836

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
0.1b
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
147×sqrt-prod
88×times-frac
78×associate-*r*
75×add-sqr-sqrt
63×*-un-lft-identity
61×add-cube-cbrt
49×add-exp-log
31×pow1 add-cbrt-cube
29×associate-*l*
28×prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
12×log-pow
10×pow-prod-down
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 184
Calls
3 calls:
20.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
48.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
128.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

series371.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
115.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06662586
134851992
250011531

prune398.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02324
12324

end0.0ms

sample558.0ms

Algorithm
intervals
Results
419.0ms8000×body80valid