Details

Time bar (total: 2.5s)

analyze884.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
2.7%90.9%6.4%9
4.1%86.4%9.5%10
4.4%86.1%9.5%11
19.7%65.3%15%12
21.9%60.4%17.7%13
22.7%59.6%17.7%14

sample50.0ms

Algorithm
intervals
Results
12.0ms23×body1280valid
11.0ms197×body80valid
6.0ms18×body640valid
2.0msbody640invalid
2.0msbody320valid
2.0ms35×body80nan
1.0msbody160valid
1.0msbody1280invalid
1.0ms14×body80invalid
1.0msbody320invalid
1.0msbody160invalid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0498811
1498811

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 4.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b
(/ (pow (/ y (+ y z)) y) y)
0.0b
(/ y (+ y z))
4.1b
(pow (/ y (+ y z)) y)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×*-un-lft-identity
90×unpow-prod-down
81×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
20×distribute-lft-out
17×add-exp-log
12×associate-/r/
add-cbrt-cube
flip3-+ div-exp associate-/r* flip-+ div-inv
add-log-exp
pow1 sqr-pow
pow-exp
pow-unpow
cbrt-undiv pow-to-exp frac-2neg clear-num
+-commutative pow-pow sum-log
Counts
4 → 184
Calls
4 calls:
22.0ms
(+ x (/ (pow (/ y (+ y z)) y) y))
11.0ms
(/ (pow (/ y (+ y z)) y) y)
5.0ms
(/ y (+ y z))
7.0ms
(pow (/ y (+ y z)) y)

series70.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (/ (pow (/ y (+ y z)) y) y))
22.0ms
(/ (pow (/ y (+ y z)) y) y)
8.0ms
(/ y (+ y z))
18.0ms
(pow (/ y (+ y z)) y)

simplify68.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049513086
149513086

prune226.0ms

Filtered
148 candidates to 196 candidates (-32.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1906196
Fresh000
Picked011
Done000
Total1907197

Merged error: 0.2b

Counts
197 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.1b
(pow (/ y (+ y z)) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
cbrt-prod
add-exp-log
pow1
add-cbrt-cube add-log-exp
pow-unpow pow1/3 distribute-lft-out
pow-exp associate-/r/
pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(pow (/ y (+ y z)) y)

series88.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
23.0ms
(cbrt y)
22.0ms
(cbrt y)
18.0ms
(pow (/ y (+ y z)) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04958747
14958747

prune103.0ms

Filtered
56 candidates to 78 candidates (-39.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh055
Picked011
Done011
Total77885

Merged error: 0.2b

Counts
85 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(cbrt (* (cbrt y) (cbrt y)))
4.1b
(pow (/ y (+ y z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×unpow-prod-down
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
add-exp-log cbrt-prod
pow1
add-cbrt-cube add-log-exp
pow-unpow pow1/3 distribute-lft-out
pow-exp associate-/r/
pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
7.0ms
(pow (/ y (+ y z)) y)

series101.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(cbrt y)
37.0ms
(cbrt (* (cbrt y) (cbrt y)))
18.0ms
(pow (/ y (+ y z)) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04908772
14908772

prune106.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done022
Total76884

Merged error: 0.2b

Counts
84 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
20.0b
(pow (/ (* (cbrt y) (cbrt y)) (/ (+ y z) (cbrt y))) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
36×*-un-lft-identity
33×unpow-prod-down
24×add-sqr-sqrt add-cube-cbrt
21×cbrt-prod
17×add-exp-log
div-exp distribute-lft-out
pow1 pow-exp
add-cbrt-cube add-log-exp
pow-unpow pow1/3
prod-exp div-inv
pow-to-exp pow-pow associate-/r/ sqr-pow
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(pow (/ (* (cbrt y) (cbrt y)) (/ (+ y z) (cbrt y))) y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)
23.0ms
(pow (/ (* (cbrt y) (cbrt y)) (/ (+ y z) (cbrt y))) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049341238
149341238

prune110.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done033
Total968104

Merged error: 0.2b

Counts
104 → 8

regimes221.0ms

bsearch47.0ms

Steps
ItersRangePoint
9
-2.8514827350200604e-11
-1.9066382976369918e-16
-1.0575237894659905e-13

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