Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

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))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (atan2 im re) (log 10.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
084202
1232188
2595188
31531188
44373188
55001188

prune72.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New27734
Fresh000
Picked011
Done000
Total27835

Merged error: 0.0b

Counts
35 → 8

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))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
203×associate-/r*
176×add-sqr-sqrt
169×frac-times
163×sqrt-prod
137×*-un-lft-identity
130×add-cube-cbrt
88×associate-/l*
85×times-frac
42×pow1
38×log-pow
30×clear-num
29×frac-2neg
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
13×associate-*r/ associate-*l/
9×div-exp
8×prod-exp
5×cbrt-undiv
4×cbrt-unprod
3×div-inv
2×rec-exp 1-exp un-div-inv add-log-exp
1×pow-prod-down *-commutative
Counts
2 → 326
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
32.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series164.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify120.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09223316
147702718
250012554

prune330.0ms

Filtered
332 candidates to 104 candidates (31.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3275332
Fresh516
Picked101
Done101
Total3346340

Merged error: 0.0b

Counts
340 → 6

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))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
213×add-sqr-sqrt
160×associate-*r/
150×sqrt-div
141×associate-/r*
130×frac-times
127×*-un-lft-identity
119×sqrt-prod
110×add-cube-cbrt
91×times-frac
81×associate-/l*
69×associate-*r*
53×unswap-sqr
50×pow1
39×log-pow
31×add-exp-log associate-*l*
27×frac-2neg clear-num
19×add-cbrt-cube
13×associate-*l/ prod-exp
7×cbrt-unprod
6×div-exp
4×pow-prod-down div-inv
3×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×pow-flip inv-pow
Counts
3 → 338
Calls
3 calls:
10.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
38.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
4.0ms
(/ 1 (log 10.0))

series170.0ms

Counts
3 → 7
Calls
3 calls:
113.0ms
(* (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))

simplify103.0ms

Algorithm
egg-herbie
Counts
345 → 345
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
09523573
144242939
250012653

prune465.0ms

Filtered
345 candidates to 133 candidates (38.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3423345
Fresh325
Picked011
Done000
Total3456351

Merged error: 0.0b

Counts
351 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
355×times-frac
299×sqrt-prod
259×add-sqr-sqrt
187×*-un-lft-identity
178×add-cube-cbrt
171×associate-*r*
71×pow1
65×log-pow
40×associate-/l*
36×unswap-sqr
27×associate-*l*
20×sqrt-div associate-*r/
19×associate-/r*
14×add-exp-log
12×add-cbrt-cube
11×div-inv
10×associate-/l/
9×*-commutative
4×frac-2neg div-exp clear-num
3×cbrt-undiv add-log-exp
2×prod-exp cbrt-unprod
1×rec-exp pow-flip 1-exp pow-prod-down inv-pow
Counts
3 → 361
Calls
3 calls:
10.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
21.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
3.0ms
(/ 1 (log 10.0))

series299.0ms

Counts
3 → 7
Calls
3 calls:
244.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
55.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
0.0ms
(/ 1 (log 10.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07774750
133504270
250024093

prune553.0ms

Filtered
368 candidates to 145 candidates (39.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3662368
Fresh134
Picked011
Done011
Total3677374

Merged error: 0.0b

Counts
374 → 7

regimes94.0ms

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
0169
1169

end0.0ms

sample378.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid