Details

Time bar (total: 2.6s)

analyze437.0ms (16.8%)

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample18.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
0.0ms10×body80invalid

simplify26.0ms (1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
07719
17719

prune11.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.1b
(/ x (* (- y z) (- t z)))

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls

2 calls:

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

series33.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(/ x (* (- y z) (- t z)))
7.0ms
(* (- y z) (- t z))

simplify35.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05099731

prune100.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.4b
(/ (/ x (- y z)) (- t z))

rewrite29.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls

2 calls:

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

series33.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(/ (/ x (- y z)) (- t z))
7.0ms
(/ x (- y z))

simplify64.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054073094

prune201.0ms (7.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1883191
Fresh134
Picked011
Done011
Total1898197

Merged error: 0b

Counts
197 → 8

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* x (/ 1 (- y z)))
2.4b
(/ (* x (/ 1 (- y z))) (- t z))

rewrite30.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×prod-exp
6×pow1 cbrt-undiv associate-/r/
4×cbrt-unprod associate-/l*
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls

3 calls:

11.0ms
(/ (* x (/ 1 (- y z))) (- t z))
10.0ms
(* x (/ 1 (- y z)))
5.0ms
(/ 1 (- y z))

series39.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

28.0ms
(/ (* x (/ 1 (- y z))) (- t z))
7.0ms
(* x (/ 1 (- y z)))
4.0ms
(/ 1 (- y z))

simplify49.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053391003

prune149.0ms (5.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh055
Picked011
Done022
Total1278135

Merged error: 0b

Counts
135 → 8

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.7b
(/ 1 (* (/ (- y z) x) (- t z)))
2.2b
(* (/ (- y z) x) (- t z))

rewrite31.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
31×add-exp-log
25×add-cube-cbrt
19×associate-*l* add-cbrt-cube
11×div-exp
8×pow1 prod-exp associate-/l* distribute-lft-out-- difference-of-squares
6×cbrt-undiv
5×flip3-- associate-*r* associate-/r/ flip--
4×frac-times associate-*r/ associate-/r* cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp
2×sub-neg pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in div-sub *-commutative inv-pow
Counts
3 → 121
Calls

3 calls:

11.0ms
(* (/ (- y z) x) (- t z))
10.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
5.0ms
(/ (- y z) x)

series65.0ms (2.5%)

Counts
3 → 9
Calls

3 calls:

44.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
14.0ms
(* (/ (- y z) x) (- t z))
6.0ms
(/ (- y z) x)

simplify56.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049651291
149651291

prune126.0ms (4.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1291130
Fresh134
Picked011
Done033
Total1308138

Merged error: 0b

Counts
138 → 8

regimes454.0ms (17.5%)

Accuracy

Total 2.0b remaining (99.2%)

Threshold costs 0b (0%)

bsearch30.0ms (1.1%)

Steps
ItersRangePoint
10
-6.605768677531667e-214
-3.0162697501811335e-224
-8.92551241015119e-218
5
-3.0095472938945095e-91
-9.674182331921332e-92
-2.6932216824551583e-91

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03437
13437

end0.0ms (0%)

sample534.0ms (20.6%)

Algorithm
1×intervals
Results
278.0ms8000×body80valid
14.0ms416×body80invalid

Profiling

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