Details

Time bar (total: 3.1s)

analyze885.0ms

Algorithm
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
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample29.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms69×body80invalid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 47
Calls
2 calls:
6.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify44.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05074384

prune79.0ms

Filtered
34 candidates to 53 candidates (-55.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh011
Picked011
Done000
Total46955

Merged error: 0.0b

Counts
55 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.4b
(/ 1 (/ a (* y (- z t))))
6.3b
(/ a (* y (- z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
cbrt-undiv
pow1 flip3-- flip-- div-inv associate-/l*
associate-*r* prod-exp
rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
sub-neg frac-2neg clear-num
distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 111
Calls
3 calls:
6.0ms
(* y (- z t))
8.0ms
(/ 1 (/ a (* y (- z t))))
6.0ms
(/ a (* y (- z t)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
12.0ms
(/ 1 (/ a (* y (- z t))))
10.0ms
(/ a (* y (- z t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049921140
149921140

prune120.0ms

Filtered
69 candidates to 120 candidates (-73.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh347
Picked101
Done011
Total1218129

Merged error: 0.0b

Counts
129 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (/ a y) (- z t)))
7.5b
(/ (/ a y) (- z t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
cbrt-undiv
flip3-- flip--
pow1 rec-exp 1-exp
frac-2neg clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
2 → 412
Calls
2 calls:
17.0ms
(/ 1 (/ (/ a y) (- z t)))
8.0ms
(/ (/ a y) (- z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (/ (/ a y) (- z t)))
11.0ms
(/ (/ a y) (- z t))

simplify98.0ms

Algorithm
egg-herbie
Counts
418 → 418
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049896774
149896774

prune319.0ms

Filtered
242 candidates to 418 candidates (-72.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4153418
Fresh426
Picked011
Done101
Total4206426

Merged error: 0b

Counts
426 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(* (/ y a) (- z t))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
11.0ms
(* (/ y a) (- z t))

series12.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05010388

prune39.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh134
Picked011
Done011
Total43649

Merged error: 0b

Counts
49 → 6

regimes439.0ms

Accuracy

18.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.3b

bsearch15.0ms

Steps
ItersRangePoint
6
2.867944927834525e-60
1.3616496667161863e-59
4.892833980010369e-60

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05826
15826

end0.0ms

sample669.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
91.0ms2554×body80invalid

Profiling

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