Details

Time bar (total: 2.4s)

analyze407.0ms (16.8%)

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample19.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
1.0ms40×body80invalid

simplify57.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0502111

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.0b

Counts
2 → 1

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite18.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls

2 calls:

10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))
7.0ms
(* (* z z) (+ z 1.0))

series23.0ms (1%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))
5.0ms
(* (* z z) (+ z 1.0))

simplify24.0ms (1%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05052618

prune110.0ms (4.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758

Merged error: 2.0b

Counts
58 → 7

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(/ (* y (/ x (* z z))) (+ z 1.0))
6.3b
(* y (/ x (* z z)))
8.0b
(/ x (* z z))

rewrite23.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
14×add-sqr-sqrt *-un-lft-identity
11×times-frac
10×cbrt-undiv add-cube-cbrt div-exp
9×prod-exp cbrt-unprod
7×associate-*r*
5×pow1 associate-/r*
4×associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/r/ distribute-lft-out unswap-sqr
1×flip3-+ pow-prod-down *-commutative flip-+ associate-/l/
Counts
3 → 79
Calls

3 calls:

9.0ms
(/ (* y (/ x (* z z))) (+ z 1.0))
7.0ms
(* y (/ x (* z z)))
4.0ms
(/ x (* z z))

series28.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/ (* y (/ x (* z z))) (+ z 1.0))
8.0ms
(* y (/ x (* z z)))
5.0ms
(/ x (* z z))

simplify65.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04948837
14948837

prune138.0ms (5.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83588
Fresh336
Picked101
Done000
Total87895

Merged error: 0.0b

Counts
95 → 8

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (/ (* (cbrt x) (cbrt x)) z) y)

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
7×associate-*l*
6×pow1
4×times-frac prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-*r*
2×cbrt-undiv div-exp unswap-sqr
1×pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 61
Calls

4 calls:

7.0ms
(* (/ (* (cbrt x) (cbrt x)) z) y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series108.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(* (/ (* (cbrt x) (cbrt x)) z) y)
23.0ms
(cbrt x)
23.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify55.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05135409

prune119.0ms (4.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh077
Picked011
Done000
Total72981

Merged error: 0.0b

Counts
81 → 9

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) 1) (* y (/ (cbrt x) z)))

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
34×add-exp-log
22×associate-*l*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
18×cbrt-prod times-frac
15×prod-exp
10×cbrt-unprod
9×pow1 div-exp
5×cbrt-undiv
4×add-log-exp
3×pow1/3 1-exp associate-*r/ pow-prod-down
1×frac-times associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 84
Calls

4 calls:

11.0ms
(* (/ (cbrt x) 1) (* y (/ (cbrt x) z)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series103.0ms (4.2%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(* (/ (cbrt x) 1) (* y (/ (cbrt x) z)))
24.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify49.0ms (2%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05284599

prune135.0ms (5.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh077
Picked011
Done011
Total9510105

Merged error: 0.0b

Counts
105 → 10

regimes325.0ms (13.4%)

Accuracy

Total 1.4b remaining (97%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01818
11818

end0.0ms (0%)

sample536.0ms (22.2%)

Algorithm
1×intervals
Results
280.0ms8000×body80valid
54.0ms1530×body80invalid

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