Details

Time bar (total: 5.5s)

sample59.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
11.0ms44×body640valid
7.0ms162×body80valid
3.0ms22×body320valid
3.0ms103×body80nan
1.0ms15×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
6.3b
(pow (/ x (+ x y)) x)

rewrite14.0ms

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))
7.0ms
(pow (/ x (+ x y)) x)

series277.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (+ x y))
233.0ms
(pow (/ x (+ x y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0320413
11304399
25002398

prune170.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.9b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×expm1-log1p-u frac-times prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 124
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series904.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
176.0ms
(cbrt x)
265.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
278.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07081370
122441300
250021271

prune467.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.1b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×expm1-log1p-u cbrt-div associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
178.0ms
(cbrt x)
263.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
74.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06121563
119281530
250021462

prune597.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (exp (* -1 y)) x)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (exp (* -1 y)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

99.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.7b

bsearch61.0ms

Steps
ItersRangePoint
9
1.399452955633998e-08
6.164824567421913
5.8289312996831475
3
-2.1192208683961782e+37
-1.7933093530898016e+37
-1.9358956410363415e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03721
13721

end0.0ms

sample1.7s

Algorithm
intervals
Results
641.0ms1484×body1280valid
354.0ms1443×body640valid
202.0ms4971×body80valid
119.0ms765×body320valid
92.0ms3008×body80nan
45.0ms452×body160valid