Details

Time bar (total: 2.2s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite3.0ms

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:
2.0ms
(/ (atan2 im re) (log 10.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (atan2 im re) (log 10.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
084202
1232188
2595188
31531188
44373188
55001188

prune74.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))))

rewrite41.0ms

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:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04061427
118851234
250011126

prune241.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
14.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
27.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
2.0ms
(/ 1 (log 10.0))

series172.0ms

Counts
3 → 7
Calls
3 calls:
113.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0363992
11658847
25002798

prune249.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.1b
(cbrt (atan2 im re))
4.1b
(cbrt (atan2 im re))
4.1b
(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:
12.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
0.0ms
(cbrt (atan2 im re))
0.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series120.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
41.0ms
(cbrt (atan2 im re))
39.0ms
(cbrt (atan2 im re))
40.0ms
(cbrt (atan2 im re))

simplify50.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0116791
1415733
21732657
35001617

prune248.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes120.0ms

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

sample359.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid