Details

Time bar (total: 2.8s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
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
34 → 34
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
084202
1232188
2595188
31531188
44373188
55001188

prune78.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite30.0ms

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×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
20.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series172.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04061427
118851234
250011126

prune234.0ms

Filtered
138 candidates to 70 candidates (50.7%)
Pruning

8 alts after pruning (7 fresh and 1 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))

rewrite34.0ms

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 rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
12.0ms
(* (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))

series174.0ms

Counts
3 → 7
Calls
3 calls:
116.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0363992
11658847
25002798

prune253.0ms

Filtered
131 candidates to 69 candidates (52.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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 rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 178
Calls
3 calls:
11.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
20.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
27.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

series518.0ms

Counts
3 → 9
Calls
3 calls:
333.0ms
(* (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)))))
69.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06602512
134791918
250011457

prune357.0ms

Filtered
187 candidates to 91 candidates (48.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes108.0ms

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

sample402.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid