Details

Time bar (total: 5.3s)

sample60.0ms

Algorithm
intervals
Results
24.0ms50×body1280valid
11.0ms45×body640valid
6.0ms149×body80valid
4.0ms26×body320valid
3.0ms92×body80nan
1.0ms14×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.8b
(pow (/ x (+ x y)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×expm1-log1p-u flip3-+ div-exp pow-exp flip-+ log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ x (+ x y))
8.0ms
(pow (/ x (+ x y)) x)

series283.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (+ x y))
237.0ms
(pow (/ x (+ x y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0320413
11304399
25002398

prune168.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×flip3-+ flip-+
5×pow1 pow-exp
4×expm1-log1p-u frac-times div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac div-inv sqr-pow
Counts
4 → 72
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series842.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
189.0ms
(cbrt x)
180.0ms
(cbrt x)
288.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify151.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0378644
11170603
24673584
35001584

prune301.0ms

Filtered
84 candidates to 66 candidates (78.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×log-prod *-un-lft-identity
42×times-frac
34×add-sqr-sqrt add-cube-cbrt
7×add-exp-log distribute-lft-out
5×pow1
4×expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ rem-log-exp associate-/r/ flip-+
1×log-div div-exp log-pow div-inv
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (+ x y))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (+ x y))
183.0ms
(cbrt x)
190.0ms
(cbrt x)
76.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify150.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0370887
11014855
24230835
35002830

prune490.0ms

Filtered
115 candidates to 96 candidates (83.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (* -1 y)) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×pow1 cbrt-undiv exp-neg expm1-log1p-u frac-2neg mul-1-neg div-exp clear-num log1p-expm1-u div-inv associate-/l/ add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (exp (* -1 y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune64.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

98.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.1b

bsearch74.0ms

Steps
ItersRangePoint
9
6.862770288593376e-07
0.3394070361140097
0.33478828589408055
4
-9.524776069844366e+35
-6.250437036933385e+35
-6.5371590662226184e+35

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample1.7s

Algorithm
intervals
Results
677.0ms1590×body1280valid
351.0ms1431×body640valid
203.0ms4844×body80valid
132.0ms811×body320valid
83.0ms2953×body80nan
41.0ms420×body160valid