Details

Time bar (total: 2.9s)

analyze765.0ms (26.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14

sample26.0ms (0.9%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
2.0ms60×body80invalid

simplify121.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
049735
149735

prune10.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 2

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.8b
(* x (/ y z))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls

1 calls:

6.0ms
(* x (/ y z))

series5.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(* x (/ y z))

simplify67.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05355230

prune83.0ms (2.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh101
Picked011
Done000
Total261137

Merged error: 0.0b

Counts
37 → 11

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls

4 calls:

13.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series74.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(cbrt z)
20.0ms
(cbrt z)
20.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify70.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04951801
14951801

prune137.0ms (4.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh639
Picked101
Done011
Total1087115

Merged error: 0b

Counts
115 → 7

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(/ (* (/ x (pow (cbrt z) 2)) y) (cbrt z))
2.9b
(* (/ x (pow (cbrt z) 2)) y)

rewrite26.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
37×associate-*l*
32×add-cube-cbrt *-un-lft-identity
30×add-exp-log
22×cbrt-prod
20×unpow-prod-down
15×add-cbrt-cube
11×div-exp
8×prod-exp
6×pow1 associate-/r* unswap-sqr
5×cbrt-undiv
4×cbrt-unprod unpow2 add-log-exp sqr-pow
3×associate-*r*
2×pow-to-exp pow1/3 associate-*l/ pow-exp div-inv
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 116
Calls

4 calls:

10.0ms
(* (/ x (pow (cbrt z) 2)) y)
9.0ms
(/ (* (/ x (pow (cbrt z) 2)) y) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series87.0ms (3%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(* (/ x (pow (cbrt z) 2)) y)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
10.0ms
(/ (* (/ x (pow (cbrt z) 2)) y) (cbrt z))

simplify45.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050891026

prune193.0ms (6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done011
Total1287135

Merged error: 0b

Counts
135 → 7

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.9b
(* y (/ x z))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls

1 calls:

6.0ms
(* y (/ x z))

series5.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(* y (/ x z))

simplify68.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05155230

prune38.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done022
Total35742

Merged error: 0b

Counts
42 → 7

regimes432.0ms (15.1%)

Accuracy

Total 1.1b remaining (97.8%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03440
13440

end0.0ms (0%)

sample552.0ms (19.2%)

Algorithm
1×intervals
Results
267.0ms8000×body80valid
50.0ms1577×body80invalid

Profiling

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