Details

Time bar (total: 2.4s)

analyze423.0ms

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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms14×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01257
11257

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- y (* z t))
11.0ms
(/ x (- y (* z t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04953449
14953449

prune78.0ms

Filtered
36 candidates to 46 candidates (-27.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38846
Fresh000
Picked011
Done000
Total38947

Merged error: 3.3b

Counts
47 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 82
Calls
3 calls:
3.0ms
(- y (* z t))
5.0ms
(/ 1 (- y (* z t)))
11.0ms
(* x (/ 1 (- y (* z t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
11.0ms
(* x (/ 1 (- y (* z t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04945801
14945801

prune97.0ms

Filtered
55 candidates to 91 candidates (-65.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh167
Picked011
Done011
Total919100

Merged error: 3.3b

Counts
100 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
3.3b
(/ (- y (* z t)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 117
Calls
3 calls:
3.0ms
(- y (* z t))
6.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series41.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- y (* z t))
23.0ms
(/ 1 (/ (- y (* z t)) x))
11.0ms
(/ (- y (* z t)) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
057641562

prune123.0ms

Filtered
82 candidates to 126 candidates (-53.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh336
Picked101
Done022
Total1278135

Merged error: 0.0b

Counts
135 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (* (- y (* z t)) (/ 1 x)))
3.5b
(* (- y (* z t)) (/ 1 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
20×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×prod-exp
14×*-un-lft-identity times-frac
13×add-cube-cbrt associate-*r*
9×rec-exp 1-exp
8×pow1
6×associate-/r/
5×cbrt-undiv flip3-- flip-- add-log-exp
4×frac-times associate-*l/ cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
1×sub-neg frac-2neg diff-log clear-num associate-/r* *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
3.0ms
(- y (* z t))
8.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
9.0ms
(* (- y (* z t)) (/ 1 x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- y (* z t))
23.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
11.0ms
(* (- y (* z t)) (/ 1 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05322894

prune73.0ms

Filtered
58 candidates to 104 candidates (-79.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done022
Total1048112

Merged error: 0.0b

Counts
112 → 8

regimes646.0ms

Accuracy

38% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 2.7b

bsearch47.0ms

Steps
ItersRangePoint
11
5.956794946682955e+177
4.38053565958963e+197
7.2338309609106325e+196
10
7.507317275414102e+37
6.8095320120053036e+47
1.0663212078845744e+46
7
-7.902107238595105e+57
-4.427878059855095e+56
-7.598287989168853e+57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07931
17931

end0.0ms

sample436.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
9.0ms333×body80invalid

Profiling

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