Details

Time bar (total: 2.6s)

analyze228.0ms (9%)

Algorithm
1×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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample16.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body80valid

simplify145.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
042299
142299

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite11.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls

1 calls:

9.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series11.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify35.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04914775
14914775

prune105.0ms (4.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 4.7b

Counts
54 → 9

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
4.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite26.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls

2 calls:

15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
8.0ms
(/ 1 (- 1.0 (/ y z)))

series16.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
5.0ms
(/ 1 (- 1.0 (/ y z)))

simplify44.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
059651114

prune161.0ms (6.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh167
Picked011
Done011
Total1039112

Merged error: 4.7b

Counts
112 → 9

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite36.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls

2 calls:

15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series28.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify73.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
055573410

prune303.0ms (11.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh246
Picked011
Done112
Total2037210

Merged error: 0.0b

Counts
210 → 7

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
2.7b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))
2.7b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))

rewrite53.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
128×add-sqr-sqrt
108×*-un-lft-identity
101×times-frac
61×cbrt-prod
48×add-cube-cbrt associate-*r*
30×cbrt-div difference-of-squares
18×add-exp-log
16×frac-times
15×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
12×associate-*l/
11×add-cbrt-cube
9×pow1
7×associate-/l*
6×prod-exp associate-/r* cbrt-unprod
5×associate-*r/
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-- pow1/3 flip-- div-inv associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 186
Calls

4 calls:

26.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))
11.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series143.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

67.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
31.0ms
(cbrt (+ x y))
31.0ms
(cbrt (+ x y))
14.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify68.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049113117
149113117

prune278.0ms (10.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh044
Picked011
Done022
Total1987205

Merged error: 0.0b

Counts
205 → 7

regimes319.0ms (12.5%)

Accuracy

Total 0.6b remaining (92.1%)

Threshold costs 0.6b (92.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05149
15149

end0.0ms (0%)

sample409.0ms (16%)

Algorithm
1×intervals
Results
244.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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