Details

Time bar (total: 4.0s)

sample63.0ms

Algorithm
intervals
Results
22.0ms47×body1280valid
12.0ms42×body640valid
8.0ms150×body80valid
5.0ms27×body320valid
4.0ms98×body80nan
2.0ms15×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune4.0ms

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: 10.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
5.4b
(pow (/ x (+ x y)) x)

rewrite32.0ms

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×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
8.0ms
(/ x (+ x y))
10.0ms
(/ (pow (/ x (+ x y)) x) x)
6.0ms
(pow (/ x (+ x y)) x)

series400.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
135.0ms
(/ (pow (/ x (+ x y)) x) x)
222.0ms
(pow (/ x (+ x y)) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05371436
126401406
250011406

prune311.0ms

Filtered
181 candidates to 131 candidates (72.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1765181
Fresh000
Picked101
Done000
Total1775182

Merged error: 0.5b

Counts
182 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite32.0ms

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×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series902.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
173.0ms
(cbrt x)
262.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
280.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06911332
121701264
250021234

prune337.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh134
Picked101
Done000
Total1294133

Merged error: 0.0b

Counts
133 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.7b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite31.0ms

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×cbrt-div associate-/r/ add-cbrt-cube 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 → 144
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
7.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt x)
214.0ms
(cbrt x)
347.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
66.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05991533
118801501
250021432

prune493.0ms

Filtered
156 candidates to 104 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done000
Total1564160

Merged error: 0.0b

Counts
160 → 4

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 frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series19.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0114186
1303172
21435169
35001169

prune49.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh022
Picked011
Done011
Total30535

Merged error: 0b

Counts
35 → 5

regimes65.0ms

bsearch2.0ms

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