Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×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: 0.8b

localize9.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (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))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (atan2 im re) (log 10.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune84.0ms

Pruning

8 alts after pruning (8 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)))
0.7b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite32.0ms

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:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
21.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 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

prune262.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite32.0ms

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:
9.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
4.0ms
(/ 1 (log 10.0))

series168.0ms

Counts
3 → 7
Calls
3 calls:
107.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
60.0ms
(* (/ 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

prune284.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
1.0b
(/ 1 (log 10.0))
1.0b
(/ 1 (log 10.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
56×add-exp-log
47×sqrt-prod
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×pow1 add-cbrt-cube
27×prod-exp
26×associate-*l*
24×sqrt-div
23×associate-*r*
15×cbrt-unprod
14×log-pow
12×associate-*r/
10×div-exp
9×pow-prod-down
8×associate-/r*
6×frac-times associate-/l*
5×cbrt-undiv rec-exp 1-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow-flip frac-2neg clear-num *-commutative inv-pow
Counts
4 → 180
Calls
4 calls:
17.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
25.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
4.0ms
(/ 1 (log 10.0))
4.0ms
(/ 1 (log 10.0))

series180.0ms

Counts
4 → 8
Calls
4 calls:
113.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
0.0ms
(/ 1 (log 10.0))
0.0ms
(/ 1 (log 10.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05081758
126441339
250021269

prune399.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes139.0ms

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
02322
12322

end0.0ms

sample382.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid