Details

Time bar (total: 2.8s)

analyze533.0ms (18.7%)

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
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms17×body80invalid

simplify200.0ms (7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
054039

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.0b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.8b
(* (/ (- x y) (- z y)) t)

rewrite23.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls

2 calls:

11.0ms
(* (/ (- x y) (- z y)) t)
7.0ms
(/ (- x y) (- z y))

series30.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

21.0ms
(* (/ (- x y) (- z y)) t)
9.0ms
(/ (- x y) (- z y))

simplify47.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
056491183

prune140.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
9.6b
(/ (* (- x y) t) (- z y))

rewrite15.0ms (0.5%)

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

2 calls:

8.0ms
(/ (* (- x y) t) (- z y))
6.0ms
(* (- x y) t)

series22.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(/ (* (- x y) t) (- z y))
7.0ms
(* (- x y) t)

simplify40.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05860469

prune82.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56157
Fresh055
Picked011
Done011
Total56864

Merged error: 0b

Counts
64 → 8

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
1.3b
(* t (/ (cbrt (- x y)) (- z y)))
8.6b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))

rewrite58.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
87×add-sqr-sqrt
77×*-un-lft-identity
68×add-exp-log
59×cbrt-prod
55×associate-*r*
45×times-frac
35×add-cube-cbrt add-cbrt-cube
34×prod-exp
21×cbrt-unprod
20×distribute-lft-out--
18×pow1 div-exp associate-*l* difference-of-squares
14×cbrt-div
10×cbrt-undiv swap-sqr
8×flip3-- flip--
7×pow1/3 unswap-sqr
6×1-exp associate-*r/ pow-prod-down
5×frac-times
4×add-log-exp
3×associate-*l/ *-commutative
2×associate-/r/ pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 182
Calls

4 calls:

19.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))
18.0ms
(* t (/ (cbrt (- x y)) (- z y)))
10.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))

series112.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(* t (/ (cbrt (- x y)) (- z y)))
32.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
25.0ms
(cbrt (- x y))
16.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))

simplify69.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049261993
149261993

prune231.0ms (8.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh055
Picked011
Done022
Total1948202

Merged error: 0b

Counts
202 → 8

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.7b
(* (- x y) (/ t (- z y)))

rewrite22.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls

2 calls:

14.0ms
(* (- x y) (/ t (- z y)))
5.0ms
(/ t (- z y))

series22.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(* (- x y) (/ t (- z y)))
7.0ms
(/ t (- z y))

simplify49.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05250856

prune88.0ms (3.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New87289
Fresh224
Picked011
Done033
Total89897

Merged error: 0b

Counts
97 → 8

regimes519.0ms (18.3%)

Accuracy

Total 0.9b remaining (98%)

Threshold costs 0.9b (98%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04349
14349

end0.0ms (0%)

sample479.0ms (16.9%)

Algorithm
1×intervals
Results
247.0ms8000×body80valid
19.0ms644×body80invalid

Profiling

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