Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×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

localize9.0ms

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:
2.0ms
(/ (atan2 im re) (log 10.0))

series56.0ms

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

simplify89.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune84.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

series177.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04101455
118891262
250011154

prune263.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×associate-*l* add-cbrt-cube
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 10.0))))
28.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series180.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04191106
12000855
25002682

prune213.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
302×add-sqr-sqrt
212×*-un-lft-identity
183×add-cube-cbrt
136×sqrt-prod
99×add-exp-log
80×associate-*r*
50×div-exp
36×pow1
35×unswap-sqr
31×add-cbrt-cube
28×prod-exp associate-/r* log-pow
25×associate-*l*
17×rec-exp 1-exp
13×cbrt-undiv
11×div-inv
10×associate-/l*
6×cbrt-unprod
3×expm1-log1p-u pow-flip pow-prod-down log1p-expm1-u inv-pow add-log-exp
2×frac-2neg clear-num associate-/r/
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 362
Calls
3 calls:
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
11.0ms
(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))
4.0ms
(/ (sqrt (log 10.0)) (atan2 im re))

series260.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
113.0ms
(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))
82.0ms
(/ (sqrt (log 10.0)) (atan2 im re))

simplify96.0ms

Algorithm
egg-herbie
Counts
371 → 371
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
010214337
146083634
250013221

prune526.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
11822

end0.0ms

sample444.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid