Details

Time bar (total: 3.2s)

analyze543.0ms (16.9%)

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

sample23.0ms (0.7%)

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

simplify179.0ms (5.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
054039

prune11.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.5b
(* (/ (- x y) (- z y)) t)

rewrite25.0ms (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:

12.0ms
(* (/ (- x y) (- z y)) t)
8.0ms
(/ (- x y) (- z y))

series34.0ms (1%)

Counts
2 → 6
Calls

2 calls:

22.0ms
(* (/ (- x y) (- z y)) t)
12.0ms
(/ (- x y) (- z y))

simplify50.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
056491183

prune141.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh011
Picked011
Done000
Total1028110

Merged error: 0b

Counts
110 → 8

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
2.5b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite68.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls

3 calls:

28.0ms
(* (/ 1 (/ (- z y) (- x y))) t)
12.0ms
(/ 1 (/ (- z y) (- x y)))
8.0ms
(/ (- z y) (- x y))

series56.0ms (1.8%)

Counts
3 → 9
Calls

3 calls:

31.0ms
(* (/ 1 (/ (- z y) (- x y))) t)
16.0ms
(/ 1 (/ (- z y) (- x y)))
9.0ms
(/ (- z y) (- x y))

simplify54.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050944350

prune391.0ms (12.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3332335
Fresh336
Picked101
Done011
Total3376343

Merged error: 0b

Counts
343 → 6

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.5b
(/ t (/ (- z y) (- x y)))

rewrite33.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls

2 calls:

12.0ms
(/ t (/ (- z y) (- x y)))
7.0ms
(/ (- z y) (- x y))

series34.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

25.0ms
(/ t (/ (- z y) (- x y)))
9.0ms
(/ (- z y) (- x y))

simplify54.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050783157

prune196.0ms (6.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh044
Picked011
Done011
Total2006206

Merged error: 0b

Counts
206 → 6

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(/ 1 (* (- z y) (/ 1 (- x y))))
0.3b
(* (- z y) (/ 1 (- x y)))
2.5b
(* (/ 1 (* (- z y) (/ 1 (- x y)))) t)

rewrite55.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
104×add-exp-log
54×add-sqr-sqrt
46×*-un-lft-identity
44×prod-exp
38×times-frac
36×div-exp
34×add-cbrt-cube
29×add-cube-cbrt
24×associate-*r*
18×rec-exp 1-exp associate-*l*
16×associate-/r/
12×pow1
10×cbrt-undiv cbrt-unprod
8×flip3-- flip-- distribute-lft-out-- difference-of-squares
7×associate-*l/
6×frac-times associate-/r* associate-/l*
4×div-inv add-log-exp unswap-sqr
3×pow-flip associate-*r/ pow-prod-down un-div-inv
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 182
Calls

4 calls:

17.0ms
(* (/ 1 (* (- z y) (/ 1 (- x y)))) t)
13.0ms
(* (- z y) (/ 1 (- x y)))
12.0ms
(/ 1 (* (- z y) (/ 1 (- x y))))
6.0ms
(/ 1 (- x y))

series62.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(* (/ 1 (* (- z y) (/ 1 (- x y)))) t)
17.0ms
(/ 1 (* (- z y) (/ 1 (- x y))))
9.0ms
(* (- z y) (/ 1 (- x y)))
5.0ms
(/ 1 (- x y))

simplify50.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049821627
149821627

prune209.0ms (6.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh033
Picked011
Done022
Total1946200

Merged error: 0b

Counts
200 → 6

regimes396.0ms (12.3%)

Accuracy

Total 1.4b remaining (99%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03247
13247

end0.0ms (0%)

sample514.0ms (16%)

Algorithm
1×intervals
Results
261.0ms8000×body80valid
18.0ms597×body80invalid

Profiling

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