Details

Time bar (total: 2.1s)

analyze346.0ms (16.1%)

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14

sample20.0ms (0.9%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
1.0ms38×body80invalid

simplify33.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
076610
176610

prune13.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.4b
(* (/ x y) z)

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls

3 calls:

8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)
5.0ms
(/ (+ x 4.0) y)

series19.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(* (/ x y) z)
4.0ms
(/ (+ x 4.0) y)

simplify66.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04945779
14945779

prune154.0ms (7.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81687
Fresh011
Picked101
Done000
Total82789

Merged error: 0b

Counts
89 → 7

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
2.3b
(* (/ x y) (- 1 z))

rewrite20.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 frac-times sub-neg flip3-- associate-*r/ flip-- add-log-exp
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 59
Calls

2 calls:

9.0ms
(* (/ x y) (- 1 z))
7.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))

series18.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
9.0ms
(* (/ x y) (- 1 z))

simplify46.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05327722

prune113.0ms (5.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh066
Picked011
Done000
Total65772

Merged error: 0b

Counts
72 → 7

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite14.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 68
Calls

4 calls:

9.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series92.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify40.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05168468

prune136.0ms (6.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh055
Picked011
Done011
Total80787

Merged error: 0b

Counts
87 → 7

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.7b
(* x (/ z y))

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls

3 calls:

8.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))
5.0ms
(/ (+ x 4.0) y)

series18.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.0ms
(* x (/ z y))
4.0ms
(/ (+ x 4.0) y)

simplify43.0ms (2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05126791

prune118.0ms (5.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done022
Total87794

Merged error: 0b

Counts
94 → 7

regimes189.0ms (8.8%)

Accuracy

Total 0.3b remaining (95.8%)

Threshold costs 0.3b (95.8%)

bsearch38.0ms (1.8%)

Steps
ItersRangePoint
9
8.03518833215358e-41
2.0857754669603874e-32
4.179457532768889e-37
9
-1.597933123778717e+116
-5.46296430985705e+107
-1.999698535205023e+108

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05731
15731

end0.0ms (0%)

sample528.0ms (24.6%)

Algorithm
1×intervals
Results
290.0ms8000×body80valid
45.0ms1221×body80invalid

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