Details

Time bar (total: 5.1s)

sample60.0ms

Algorithm
intervals
Results
23.0ms51×body1280valid
11.0ms44×body640valid
7.0ms162×body80valid
4.0ms22×body320valid
3.0ms103×body80nan
1.0ms15×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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)

rewrite15.0ms

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)

series264.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (+ x y))
221.0ms
(pow (/ x (+ x y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0320413
11304399
25002398

prune153.0ms

Filtered
76 candidates to 54 candidates (71.1%)
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)

rewrite34.0ms

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:
1.0ms
(cbrt x)
1.0ms
(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)

series886.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
176.0ms
(cbrt x)
255.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
275.0ms
(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

prune403.0ms

Filtered
136 candidates to 98 candidates (72.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.2b
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
1.2b
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
54×unpow-prod-down
48×cbrt-prod
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt add-cube-cbrt
9×add-exp-log
7×pow1
6×distribute-lft-out
5×pow-unpow
4×expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-pow sqr-pow
2×cbrt-div associate-/r/
1×flip3-+ pow1/3 div-exp flip-+ div-inv
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
1.0ms
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)

series500.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
31.0ms
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
27.0ms
(pow (fabs (/ (cbrt x) (cbrt (+ x y)))) (* 2 (/ x 2)))
262.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05551252
119821220
250011155

prune438.0ms

Filtered
124 candidates to 91 candidates (73.4%)
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)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (exp (* -1 y)) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune60.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

99.3% (0.0b remaining)

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

bsearch65.0ms

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
03427
13427

end0.0ms

sample1.7s

Algorithm
intervals
Results
643.0ms1484×body1280valid
365.0ms1443×body640valid
214.0ms4971×body80valid
122.0ms765×body320valid
91.0ms3008×body80nan
48.0ms452×body160valid