Details

Time bar (total: 7.0s)

sample71.0ms

Algorithm
intervals
Results
26.0ms51×body1280valid
15.0ms49×body640valid
8.0ms145×body80valid
6.0ms31×body320valid
4.0ms87×body80nan
2.0ms14×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

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)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 12.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
6.8b
(pow (/ x (+ x y)) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
5.0ms
(/ x (+ x y))
14.0ms
(/ (pow (/ x (+ x y)) x) x)
7.0ms
(pow (/ x (+ x y)) x)

series398.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
131.0ms
(/ (pow (/ x (+ x y)) x) x)
224.0ms
(pow (/ x (+ x y)) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05541456
127261426
250031426

prune340.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1825187
Fresh000
Picked101
Done000
Total1835188

Merged error: 0.8b

Counts
188 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite38.0ms

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)
11.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
20.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series906.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
185.0ms
(cbrt x)
261.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
282.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07081370
122441300
250021271

prune378.0ms

Filtered
136 candidates to 98 candidates (72.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1351136
Fresh134
Picked101
Done000
Total1374141

Merged error: 0.0b

Counts
141 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.2b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite27.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
184.0ms
(cbrt x)
265.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
72.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06121563
119281530
250021462

prune476.0ms

Filtered
164 candidates to 112 candidates (68.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done000
Total1644168

Merged error: 0.0b

Counts
168 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (sqrt (/ x (+ x y))) x)
0.7b
(pow (sqrt (/ x (+ x y))) x)
6.5b
(sqrt (/ x (+ x y)))
6.5b
(sqrt (/ x (+ x y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
64×*-un-lft-identity
50×times-frac
46×add-sqr-sqrt
42×unpow-prod-down
40×add-cube-cbrt
12×distribute-lft-out
10×pow1
8×associate-/r/
6×add-exp-log pow-unpow pow-pow
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ log1p-expm1-u div-inv add-log-exp
2×pow-to-exp sqrt-div pow-exp sqrt-pow2 sqr-pow
Counts
4 → 144
Calls
4 calls:
12.0ms
(pow (sqrt (/ x (+ x y))) x)
8.0ms
(pow (sqrt (/ x (+ x y))) x)
5.0ms
(sqrt (/ x (+ x y)))
6.0ms
(sqrt (/ x (+ x y)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(pow (sqrt (/ x (+ x y))) x)
259.0ms
(pow (sqrt (/ x (+ x y))) x)
62.0ms
(sqrt (/ x (+ x y)))
55.0ms
(sqrt (/ x (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03651108
113131040
250011022

prune362.0ms

Filtered
156 candidates to 114 candidates (73.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done011
Total1564160

Merged error: 0.0b

Counts
160 → 4

regimes61.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.6b

bsearch116.0ms

Steps
ItersRangePoint
9
0.00615885028673163
18724.121991280714
26.31121317697975
9
-138449347556016.72
-2093515046.541616
-3685537173.3159733

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample2.0s

Algorithm
intervals
Results
736.0ms1506×body1280valid
425.0ms1450×body640valid
269.0ms4898×body80valid
159.0ms810×body320valid
127.0ms3135×body80nan
64.0ms502×body160valid