Details

Time bar (total: 4.0s)

analyze942.0ms (23.7%)

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
0%99.8%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
26.2%73.5%0.2%14

sample24.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
1.0ms29×body80invalid

simplify190.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (188.0ms)

IterNodesCost
0559011

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(* y (/ (- z t) (- a t)))

rewrite31.0ms (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) (- a t)))
13.0ms
(/ (- z t) (- a t))

series26.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

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

simplify49.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050241163

prune152.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite14.0ms (0.4%)

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

series108.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- a t))

simplify40.0ms (1%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05111580

prune115.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh055
Picked011
Done011
Total71879

Merged error: 0.0b

Counts
79 → 8

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite13.0ms (0.3%)

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

series106.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- a t))

simplify40.0ms (1%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05111580

prune113.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 0.0b

Counts
80 → 8

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (- a t) (- z t)))
1.8b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms (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:

31.0ms
(* y (/ 1 (/ (- a t) (- z t))))
12.0ms
(/ 1 (/ (- a t) (- z t)))
8.0ms
(/ (- a t) (- z t))

series51.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

25.0ms
(* y (/ 1 (/ (- a t) (- z t))))
16.0ms
(/ 1 (/ (- a t) (- z t)))
9.0ms
(/ (- a t) (- z t))

simplify56.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050414378

prune404.0ms (10.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3351336
Fresh224
Picked101
Done033
Total3386344

Merged error: 0b

Counts
344 → 6

regimes741.0ms (18.7%)

Accuracy

Total 0.6b remaining (97.5%)

Threshold costs 0.6b (97.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03233
13233

end0.0ms (0%)

sample618.0ms (15.6%)

Algorithm
1×intervals
Results
307.0ms7999×body80valid
26.0ms740×body80invalid
0.0ms1×body1280valid

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