Details

Time bar (total: 3.2s)

analyze519.0ms (16%)

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify211.0ms (6.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (209.0ms)

IterNodesCost
054879

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.5b
(/ (* x (- y z)) (- t z))

rewrite20.0ms (0.6%)

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-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 53
Calls

2 calls:

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

series24.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(/ (* x (- y z)) (- t z))
8.0ms
(* x (- y z))

simplify44.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05975485

prune97.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New52759
Fresh000
Picked011
Done000
Total52860

Merged error: 0.0b

Counts
60 → 8

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.2b
(/ x (/ (- t z) (- y z)))

rewrite31.0ms (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:

11.0ms
(/ x (/ (- t z) (- y z)))
8.0ms
(/ (- t z) (- y z))

series39.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(/ x (/ (- t z) (- y z)))
13.0ms
(/ (- t z) (- y z))

simplify59.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050783157

prune207.0ms (6.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1973200
Fresh336
Picked011
Done011
Total2008208

Merged error: 0b

Counts
208 → 8

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.3b
(* x (/ (- y z) (- t z)))

rewrite27.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls

2 calls:

16.0ms
(* x (/ (- y z) (- t z)))
7.0ms
(/ (- y z) (- t z))

series26.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify49.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050241163

prune121.0ms (3.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done022
Total1088116

Merged error: 0b

Counts
116 → 8

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(/ (cbrt x) (/ (- t z) (- y z)))
1.8b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

rewrite103.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
703×times-frac
547×add-sqr-sqrt
536×*-un-lft-identity
276×add-cube-cbrt
197×cbrt-prod
191×associate-*r*
130×distribute-lft-out-- difference-of-squares
31×associate-/r*
30×add-exp-log
28×associate-/r/
18×add-cbrt-cube
15×div-inv
13×flip3-- flip--
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 480
Calls

4 calls:

48.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))
14.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series180.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

106.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
30.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify94.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050069069

prune495.0ms (15.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4920492
Fresh044
Picked011
Done033
Total4928500

Merged error: 0b

Counts
500 → 8

regimes373.0ms (11.5%)

Accuracy

Total 1.2b remaining (99%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03251
13251

end0.0ms (0%)

sample469.0ms (14.5%)

Algorithm
1×intervals
Results
242.0ms8000×body80valid
20.0ms604×body80invalid

Profiling

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