Details

Time bar (total: 3.2s)

analyze430.0ms

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
2.0ms27×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
14416
25616
37416
48016
58016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.3b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b
(* (atan2 im re) (log base))
0.5b
(* (log base) (log base))
25.4b
(sqrt (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
21×pow1
12×log-prod
10×add-exp-log add-cbrt-cube
9×times-frac
8×associate-*r*
7×associate-*l* log-pow
6×distribute-rgt-in distribute-lft-in swap-sqr
4×add-log-exp
3×associate-/r* sqrt-prod associate-/l*
2×flip3-+ sqrt-div pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×cbrt-undiv pow2 rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow-plus pow1/2 div-sub div-exp clear-num pow-sqr pow-prod-up flip-- div-inv
Counts
4 → 108
Calls
4 calls:
9.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
4.0ms
(* (atan2 im re) (log base))
5.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
8.0ms
(* (atan2 im re) (log base))
18.0ms
(* (log base) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04411237
117381127
250011101

prune189.0ms

Filtered
75 candidates to 120 candidates (-60.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1119120
Fresh000
Picked101
Done000
Total1129121

Merged error: 0.1b

Counts
121 → 9

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
93×*-un-lft-identity
57×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
19×associate-/r*
13×pow1
12×log-pow
8×add-exp-log
6×add-cbrt-cube
5×div-exp div-inv
3×cbrt-undiv associate-/l*
1×frac-2neg 1-exp clear-num associate-/r/ add-log-exp
Counts
1 → 95
Calls
1 calls:
8.0ms
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0355942
11366819
23942698
35001698

prune92.0ms

Filtered
37 candidates to 98 candidates (-164.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92698
Fresh538
Picked011
Done000
Total9710107

Merged error: 0.0b

Counts
107 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (log base)) (atan2 im re))
0.3b
(/ 1 (log base))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
16×associate-*l*
15×add-exp-log
12×pow1
9×add-cbrt-cube
7×log-pow
4×div-exp prod-exp associate-/r*
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 73
Calls
2 calls:
7.0ms
(* (/ 1 (log base)) (atan2 im re))
3.0ms
(/ 1 (log base))

series30.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (/ 1 (log base)) (atan2 im re))
17.0ms
(/ 1 (log base))

simplify107.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0202403
1785345
21921301
34509301
45001301

prune90.0ms

Filtered
40 candidates to 79 candidates (-97.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New74579
Fresh358
Picked011
Done011
Total771289

Merged error: 0.0b

Counts
89 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (log base) (atan2 im re))
0.4b
(/ 1 (/ (log base) (atan2 im re)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
4.0ms
(/ (log base) (atan2 im re))
6.0ms
(/ 1 (/ (log base) (atan2 im re)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (log base) (atan2 im re))
16.0ms
(/ 1 (/ (log base) (atan2 im re)))

simplify68.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03351003
11399891
24997788
35001788

prune57.0ms

Filtered
54 candidates to 125 candidates (-131.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1223125
Fresh459
Picked011
Done022
Total12611137

Merged error: 0.0b

Counts
137 → 11

regimes298.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1145
2145

end0.0ms

analyze427.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
775.0ms8000×body80valid
89.0ms985×body80nan

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