Details

Time bar (total: 2.1s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
084202
1232188
2581188
31517188
44358188
55002188

prune72.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.1b

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))))

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×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:
6.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
20.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04061427
118851234
250011126

prune231.0ms

Filtered
72 candidates to 138 candidates (-91.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1344138
Fresh167
Picked101
Done000
Total13610146

Merged error: 0.0b

Counts
146 → 10

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)))))

rewrite30.0ms

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×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
10.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04151074
11996823
25001650

prune186.0ms

Filtered
59 candidates to 123 candidates (-108.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh099
Picked011
Done000
Total12310133

Merged error: 0.0b

Counts
133 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
56×associate-*l*
26×associate-*r*
23×pow1
19×add-exp-log add-cbrt-cube
18×unswap-sqr
13×log-pow
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv
3×cbrt-undiv div-exp associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 182
Calls
3 calls:
22.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
21.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series46.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
8.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04622298
120942082
250011912

prune427.0ms

Filtered
112 candidates to 191 candidates (-70.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1892191
Fresh718
Picked011
Done011
Total1965201

Merged error: 0b

Counts
201 → 5

regimes163.0ms

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
01921
11921

end0.0ms

sample488.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid

Profiling

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