Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
12.0ms293×body80valid
0.0msbody640valid

simplify55.0ms

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

series103.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z t) (- z a))
62.0ms
(* y (/ (- z t) (- z a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune205.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.5b
(cbrt (/ (- z t) (- z a)))
3.5b
(cbrt (/ (- z t) (- z a)))
3.5b
(cbrt (/ (- z t) (- z a)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-/r/
associate-*r/ add-log-exp
flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
21.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms
(cbrt (/ (- z t) (- z a)))
10.0ms
(cbrt (/ (- z t) (- z a)))
7.0ms
(cbrt (/ (- z t) (- z a)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
121.0ms
(cbrt (/ (- z t) (- z a)))
127.0ms
(cbrt (/ (- z t) (- z a)))
131.0ms
(cbrt (/ (- z t) (- z a)))

simplify136.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
03011464
16511394
216371384
349941362
450011362

prune368.0ms

Filtered
154 candidates to 106 candidates (68.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done011
Total1546160

Merged error: 0b

Counts
160 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.7b
(/ (* y (- z t)) (- z a))

rewrite16.0ms

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))

series100.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) (- z a))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0267276
11217239
25001239

prune96.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh033
Picked011
Done022
Total61667

Merged error: 0b

Counts
67 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(/ 1 (- z a))
11.8b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
distribute-lft-out-- difference-of-squares
associate-*r/ cbrt-unprod
div-exp
flip3-- associate-/r* flip--
associate-*l* pow-prod-down associate-/r/
cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
9.0ms
(* y (- z t))
5.0ms
(/ 1 (- z a))
13.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z t))
37.0ms
(/ 1 (- z a))
61.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify57.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0426633
12357536
25002493

prune159.0ms

Filtered
126 candidates to 65 candidates (51.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done033
Total1266132

Merged error: 0b

Counts
132 → 6

regimes215.0ms

Accuracy

-5.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch69.0ms

Steps
ItersRangePoint
8
9.578929672358976e-42
1.587631697845574e-37
1.0050417549353676e-41
7
-1.3966893868168986e-177
-6.770748750188271e-179
-5.010214177521818e-178

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample540.0ms

Algorithm
intervals
Results
294.0ms8705×body80valid
0.0msbody640valid
0.0msbody1280valid

Profiling

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