Details

Time bar (total: 2.9s)

analyze553.0ms (19%)

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

sample21.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
1.0ms22×body80invalid

simplify168.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
054879

prune10.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (0.9%)

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:

14.0ms
(* x (/ (- y z) (- t z)))
7.0ms
(/ (- y z) (- t z))

series26.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

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

simplify49.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune156.0ms (5.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9810108
Fresh011
Picked101
Done000
Total9911110

Merged error: 0.0b

Counts
110 → 11

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite14.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls

4 calls:

3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- t z))

series109.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(cbrt (- y z))
28.0ms
(cbrt (- y z))
26.0ms
(cbrt (- t z))
26.0ms
(cbrt (- y z))

simplify40.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05094580

prune120.0ms (4.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh01010
Picked011
Done000
Total721183

Merged error: 0.0b

Counts
83 → 11

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite77.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 141
Calls

4 calls:

34.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))
26.0ms
(- (/ y (- t z)) (/ z (- t z)))
6.0ms
(/ y (- t z))
5.0ms
(/ z (- t z))

series54.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))
14.0ms
(- (/ y (- t z)) (/ z (- t z)))
7.0ms
(/ y (- t z))
5.0ms
(/ z (- t z))

simplify68.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049131627
149131627

prune179.0ms (6.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh369
Picked011
Done101
Total1568164

Merged error: 0b

Counts
164 → 8

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (- y z) (- t z)) (cbrt x))
1.3b
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))

rewrite38.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*l*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow1/3 associate-*l/ associate-/r/ *-commutative
1×flip3-- associate-*r/ flip-- div-inv
Counts
4 → 104
Calls

4 calls:

16.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))
16.0ms
(* (/ (- y z) (- t z)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series106.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(* (/ (- y z) (- t z)) (cbrt x))
25.0ms
(cbrt x)
22.0ms
(cbrt x)
20.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (- y z) (- t z)) (cbrt x)))

simplify49.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
054301040

prune117.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh066
Picked011
Done011
Total1168124

Merged error: 0b

Counts
124 → 8

regimes379.0ms (13%)

Accuracy

Total 2.7b remaining (99.4%)

Threshold costs 0b (0%)

bsearch36.0ms (1.3%)

Steps
ItersRangePoint
10
2.4389695938621288e+33
2.1853317299721105e+43
4.4134199192979195e+34
10
-3.2080468901405063e+71
-9.559762431624345e+55
-1.153141386606573e+56

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04431
14431

end0.0ms (0%)

sample465.0ms (16%)

Algorithm
1×intervals
Results
238.0ms8000×body80valid
21.0ms662×body80invalid

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