Details

Time bar (total: 2.5s)

analyze619.0ms (24.5%)

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample25.0ms (1%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
6.0ms80×body80invalid

simplify40.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
07339
17339

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.9b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls

3 calls:

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

series28.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(/ (* (- y x) z) t)
11.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)

simplify38.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05581558

prune117.0ms (4.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.6b
(/ (- y x) (/ t z))

rewrite30.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls

2 calls:

17.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series23.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

12.0ms
(/ (- y x) (/ t z))
10.0ms
(+ x (/ (- y x) (/ t z)))

simplify43.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053871677

prune132.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh336
Picked011
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y x) t) z))
0.0b
(/ (- y x) t)
6.0b
(* (/ (- y x) t) z)

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls

3 calls:

8.0ms
(* (/ (- y x) t) z)
5.0ms
(/ (- y x) t)
3.0ms
(+ x (* (/ (- y x) t) z))

series28.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(* (/ (- y x) t) z)
10.0ms
(+ x (* (/ (- y x) t) z))
6.0ms
(/ (- y x) t)

simplify53.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05934891

prune104.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ 1 (/ t (* (- y x) z))))
0.4b
(/ 1 (/ t (* (- y x) z)))
5.6b
(/ t (* (- y x) z))

rewrite38.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*l/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*l* prod-exp
3×rec-exp 1-exp associate-*r* cbrt-unprod
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 122
Calls

4 calls:

10.0ms
(+ x (/ 1 (/ t (* (- y x) z))))
9.0ms
(/ t (* (- y x) z))
9.0ms
(/ 1 (/ t (* (- y x) z)))
6.0ms
(* (- y x) z)

series42.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(/ t (* (- y x) z))
12.0ms
(/ 1 (/ t (* (- y x) z)))
11.0ms
(+ x (/ 1 (/ t (* (- y x) z))))
6.0ms
(* (- y x) z)

simplify47.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050921333

prune142.0ms (5.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done033
Total1346140

Merged error: 0b

Counts
140 → 6

regimes333.0ms (13.2%)

Accuracy

Total 1.4b remaining (98.7%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03443
13443

end0.0ms (0%)

sample566.0ms (22.4%)

Algorithm
1×intervals
Results
249.0ms8000×body80valid
63.0ms2161×body80invalid

Profiling

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