Details

Time bar (total: 2.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166

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))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (atan2 im re) (log 10.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04723330
14723330

prune79.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New25934
Fresh000
Picked101
Done000
Total26935

Merged error: 0.1b

Counts
35 → 9

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))))

rewrite36.0ms

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:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
24.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series21.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
9.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049861597
149861597

prune240.0ms

Filtered
68 candidates to 138 candidates (-102.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1326138
Fresh268
Picked101
Done000
Total13512147

Merged error: 0.0b

Counts
147 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
9.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series38.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
14.0ms
(cbrt (atan2 im re))
12.0ms
(cbrt (atan2 im re))
12.0ms
(cbrt (atan2 im re))

simplify37.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05020797

prune294.0ms

Filtered
59 candidates to 104 candidates (-76.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh01111
Picked011
Done000
Total10313116

Merged error: 0.0b

Counts
116 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite36.0ms

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:
14.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
16.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
9.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
047871035
147871035

prune151.0ms

Filtered
55 candidates to 123 candidates (-123.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1221123
Fresh8311
Picked011
Done011
Total1306136

Merged error: 0b

Counts
136 → 6

regimes230.0ms

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
01618
11618

end0.0ms

sample516.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid

Profiling

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