Details

Time bar (total: 6.0s)

analyze867.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms33×body80invalid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.6b
(* y (/ (- z t) (- z a)))

rewrite25.0ms

Algorithm
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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*l* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
19.0ms
(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune118.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
2.6b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite71.0ms

Algorithm
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
flip3-- flip--
associate-/l*
cbrt-undiv prod-exp
pow1
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num associate-/l/
pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ 1 (/ (- z a) (- z t)))
32.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series48.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z a) (- z t))
12.0ms
(/ 1 (/ (- z a) (- z t)))
27.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify117.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08822716
145142431
250012145

prune225.0ms

Filtered
170 candidates to 336 candidates (-97.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3360336
Fresh044
Picked011
Done011
Total3366342

Merged error: 0b

Counts
342 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b
(* y (/ (- z t) (- z a)))
6.9b
(cbrt (* y (/ (- z t) (- z a))))
6.9b
(cbrt (* y (/ (- z t) (- z a))))
6.9b
(cbrt (* y (/ (- z t) (- z a))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp associate-/r/ cbrt-unprod unswap-sqr
cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
15.0ms
(* y (/ (- z t) (- z a)))
8.0ms
(cbrt (* y (/ (- z t) (- z a))))
8.0ms
(cbrt (* y (/ (- z t) (- z a))))
8.0ms
(cbrt (* y (/ (- z t) (- z a))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* y (/ (- z t) (- z a)))
39.0ms
(cbrt (* y (/ (- z t) (- z a))))
41.0ms
(cbrt (* y (/ (- z t) (- z a))))
39.0ms
(cbrt (* y (/ (- z t) (- z a))))

simplify39.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0305572
11226512
25001491

prune102.0ms

Filtered
70 candidates to 92 candidates (-31.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done022
Total92698

Merged error: 0b

Counts
98 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.4b
(/ (* y (- z t)) (- z a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
add-exp-log add-cbrt-cube
add-cube-cbrt
times-frac associate-*r* associate-/r*
pow1 associate-*r/
flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
18.0ms
(/ (* y (- z t)) (- z a))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0267276
11217239
25001239

prune44.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done033
Total61667

Merged error: 0b

Counts
67 → 6

regimes576.0ms

Accuracy

15.7% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.3b

bsearch1.9s

Steps
ItersRangePoint
7
2.3652994946015783e-59
4.487934656156044e-57
4.706405047926324e-58
8
-4.1813724187466915e+101
-4.003136862146279e+97
-4.092061877504407e+97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

analyze853.0ms

Algorithm
search

sample571.0ms

Algorithm
intervals
Results
292.0ms7998×body80valid
25.0ms734×body80invalid
0.0msbody320valid
0.0msbody160valid

Profiling

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