Details

Time bar (total: 3.8s)

analyze910.0ms (24%)

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.2%66.5%0.2%14

sample24.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
1.0ms18×body80invalid

simplify93.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
0495211
1495211

prune13.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(* y (/ (- z t) (- z a)))

rewrite30.0ms (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:

13.0ms
(* y (/ (- z t) (- z a)))
12.0ms
(/ (- z t) (- z a))

series24.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(* y (/ (- z t) (- z a)))
9.0ms
(/ (- z t) (- z a))

simplify56.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050831163

prune147.0ms (3.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh101
Picked101
Done000
Total1055110

Merged error: 0b

Counts
110 → 5

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
1.5b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite73.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls

3 calls:

30.0ms
(* y (/ 1 (/ (- z a) (- z t))))
12.0ms
(/ 1 (/ (- z a) (- z t)))
11.0ms
(/ (- z a) (- z t))

series42.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

21.0ms
(* y (/ 1 (/ (- z a) (- z t))))
13.0ms
(/ 1 (/ (- z a) (- z t)))
8.0ms
(/ (- z a) (- z t))

simplify61.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050184366

prune421.0ms (11.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3351336
Fresh134
Picked011
Done000
Total3365341

Merged error: 0b

Counts
341 → 5

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.3b
(* (- z t) (/ 1 (- z a)))
1.5b
(* y (* (- z t) (/ 1 (- z a))))

rewrite35.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls

3 calls:

13.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))
5.0ms
(/ 1 (- z a))

series33.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

19.0ms
(* y (* (- z t) (/ 1 (- z a))))
9.0ms
(* (- z t) (/ 1 (- z a)))
4.0ms
(/ 1 (- z a))

simplify53.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
058471082

prune161.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0b

Counts
133 → 5

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(/ y (- z a))
0.2b
(/ 1 (/ 1 (- z t)))
9.2b
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

rewrite76.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
303×times-frac
249×add-sqr-sqrt
214×*-un-lft-identity
140×add-cube-cbrt
108×add-exp-log
68×associate-*r*
58×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
31×associate-/r*
26×prod-exp
22×rec-exp 1-exp associate-/r/
21×associate-*l*
14×cbrt-undiv unswap-sqr
12×div-inv
10×flip3-- flip--
9×pow1 associate-/l*
6×cbrt-unprod
5×pow-flip
4×add-log-exp
3×frac-2neg clear-num inv-pow
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative remove-double-div
Counts
4 → 343
Calls

4 calls:

38.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))
11.0ms
(/ 1 (/ 1 (- z t)))
5.0ms
(/ 1 (- z t))
5.0ms
(/ y (- z a))

series39.0ms (1%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))
8.0ms
(/ 1 (- z t))
7.0ms
(/ y (- z a))
3.0ms
(/ 1 (/ 1 (- z t)))

simplify68.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050103535

prune446.0ms (11.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3550355
Fresh022
Picked011
Done022
Total3555360

Merged error: 0b

Counts
360 → 5

regimes347.0ms (9.1%)

Accuracy

Total 1.4b remaining (98.8%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03213
13213

end0.0ms (0%)

sample605.0ms (15.9%)

Algorithm
1×intervals
Results
310.0ms7999×body80valid
24.0ms677×body80invalid
0.0ms1×body1280valid

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