Details

Time bar (total: 14.9s)

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

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log 10.0))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (atan2 im re) (log 10.0))

simplify226.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune86.0ms

Filtered
36 candidates to 24 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New28836
Fresh000
Picked101
Done000
Total29837

Merged error: 0.0b

Counts
37 → 8

localize10.0ms

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))))

rewrite57.0ms

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×expm1-log1p-u rec-exp 1-exp un-div-inv log1p-expm1-u add-log-exp
1×pow-prod-down *-commutative
Counts
2 → 330
Calls
2 calls:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series166.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify113.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09263344
147742746
250012582

prune377.0ms

Filtered
336 candidates to 109 candidates (32.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3315336
Fresh617
Picked101
Done000
Total3386344

Merged error: 0.0b

Counts
344 → 6

localize10.0ms

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)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
274×add-sqr-sqrt
224×associate-/r*
211×associate-*r/
208×frac-times
190×sqrt-prod
184×*-un-lft-identity
143×add-cube-cbrt
115×times-frac
111×associate-/l*
88×associate-*r*
76×add-exp-log
65×unswap-sqr
50×pow1
47×clear-num
45×un-div-inv
41×log-pow
40×prod-exp
32×frac-2neg
31×associate-*l*
28×add-cbrt-cube
20×div-exp
13×associate-*l/
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv
4×pow-prod-down
3×*-commutative div-inv
2×expm1-log1p-u log1p-expm1-u add-log-exp
Counts
2 → 434
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
47.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series168.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
440 → 440
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010284336
150013376

prune419.0ms

Filtered
440 candidates to 120 candidates (27.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4373440
Fresh235
Picked011
Done000
Total4397446

Merged error: 0.0b

Counts
446 → 7

localize13.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (* (cbrt 1) (* (cbrt 1) (- (atan2 im re)))) (/ (- (log 10.0)) (cbrt 1)))

rewrite599.0ms

Algorithm
rewrite-expression-head
Rules
7028×times-frac
5150×add-sqr-sqrt
3425×cbrt-prod
3379×*-un-lft-identity
2763×add-cube-cbrt
2618×associate-*r*
1848×unswap-sqr
1387×distribute-lft-neg-in distribute-rgt-neg-in
924×associate-*l*
579×pow1
578×log-pow
366×neg-mul-1
154×*-commutative
82×associate-/r*
65×add-cbrt-cube
59×associate-/l*
49×div-inv
35×cbrt-undiv
30×cbrt-unprod
22×add-exp-log
21×associate-/r/
9×div-exp
6×prod-exp
2×frac-2neg clear-num distribute-rgt-neg-out
1×expm1-log1p-u distribute-frac-neg log1p-expm1-u add-log-exp
Counts
1 → 3756
Calls
1 calls:
114.0ms
(/ (* (cbrt 1) (* (cbrt 1) (- (atan2 im re)))) (/ (- (log 10.0)) (cbrt 1)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (* (cbrt 1) (* (cbrt 1) (- (atan2 im re)))) (/ (- (log 10.0)) (cbrt 1)))

simplify696.0ms

Algorithm
egg-herbie
Counts
3759 → 3759
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0500185987

prune11.2s

Filtered
3759 candidates to 2481 candidates (66.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New375903759
Fresh055
Picked011
Done011
Total375973766

Merged error: 0.0b

Counts
3766 → 7

regimes128.0ms

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
0149
1149

end0.0ms

sample382.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid