Details

Time bar (total: 3.6s)

analyze640.0ms (17.9%)

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
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

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
07719
17719

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.5b
(/ x (* (- y z) (- t z)))

rewrite20.0ms (0.6%)

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)))

series37.0ms (1%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(/ x (* (- y z) (- t z)))
11.0ms
(* (- y z) (- t z))

simplify39.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05099731

prune94.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done000
Total63568

Merged error: 0.0b

Counts
68 → 5

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.8b
(/ (/ x (- y z)) (- t z))

rewrite30.0ms (0.8%)

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:

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

series34.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(/ (/ x (- y z)) (- t z))
7.0ms
(/ x (- y z))

simplify69.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054073094

prune191.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1892191
Fresh033
Picked011
Done011
Total1897196

Merged error: 0b

Counts
196 → 7

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite36.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls

3 calls:

19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
6.0ms
(/ 1 (- y z))
6.0ms
(/ x (- t z))

series57.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

46.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
7.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))

simplify56.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050271511

prune179.0ms (5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh134
Picked011
Done022
Total1597166

Merged error: 0b

Counts
166 → 7

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b
(/ (/ x (- y z)) (- t z))
26.9b
(cbrt (/ (/ x (- y z)) (- t z)))
26.9b
(cbrt (/ (/ x (- y z)) (- t z)))
26.9b
(cbrt (/ (/ x (- y z)) (- t z)))

rewrite97.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
735×times-frac
577×add-sqr-sqrt *-un-lft-identity
333×cbrt-prod
281×add-cube-cbrt
148×distribute-lft-out-- difference-of-squares
50×associate-/r/
25×flip3-- flip-- div-inv
21×associate-/l*
9×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1 add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 508
Calls

4 calls:

16.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
13.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
13.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
12.0ms
(/ (/ x (- y z)) (- t z))

series262.0ms (7.3%)

Counts
4 → 12
Calls

4 calls:

80.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
77.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
76.0ms
(cbrt (/ (/ x (- y z)) (- t z)))
28.0ms
(/ (/ x (- y z)) (- t z))

simplify108.0ms (3%)

Algorithm
1×egg-herbie
Counts
520 → 520
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0522511104

prune614.0ms (17.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5200520
Fresh033
Picked011
Done033
Total5207527

Merged error: 0b

Counts
527 → 7

regimes424.0ms (11.9%)

Accuracy

Total 1.9b remaining (99%)

Threshold costs 0b (0%)

bsearch29.0ms (0.8%)

Steps
ItersRangePoint
9
1.3980126503650563e-202
1.4706047232222897e-193
2.4978070913607958e-195
7
-2.2637928491589324e-178
-2.2327548535795383e-180
-7.78744813119852e-180

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03227
13227

end0.0ms (0%)

sample458.0ms (12.8%)

Algorithm
1×intervals
Results
239.0ms8000×body80valid
16.0ms447×body80invalid

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