Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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

prune81.0ms

Pruning

6 alts after pruning (6 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))))

rewrite38.0ms

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)))
28.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series166.0ms

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))))

simplify58.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04101455
118891262
250011154

prune254.0ms

Pruning

8 alts after pruning (8 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))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite50.0ms

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))))
27.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
2.0ms
(/ 1 (log 10.0))

series167.0ms

Counts
3 → 7
Calls
3 calls:
111.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
56.0ms
(* (/ 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

prune277.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.6b
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
1.0b
(/ 1 (log 10.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×times-frac
41×*-un-lft-identity
38×add-cube-cbrt
33×sqrt-prod
28×associate-*l*
22×associate-*r*
19×pow1 add-exp-log
13×add-cbrt-cube
10×log-pow
9×unswap-sqr
5×prod-exp log1p-expm1-u
4×expm1-log1p-u div-exp associate-/r* add-log-exp
3×cbrt-unprod div-inv associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×expm1-log1p pow-flip frac-2neg sqrt-div associate-*r/ associate-*l/ clear-num inv-pow expm1-udef
Counts
4 → 139
Calls
4 calls:
12.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.0ms
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
6.0ms
(/ 1 (log 10.0))

series558.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
172.0ms
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
274.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
0.0ms
(/ 1 (log 10.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03391250
114441057
250011009

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02426
12426

end0.0ms

sample365.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid