Details

Time bar (total: 3.2s)

analyze405.0ms

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms12×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1139

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.9b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
28.0ms
(/ x (* (- y z) (- t z)))

simplify28.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05232734

prune85.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh000
Picked011
Done000
Total61768

Merged error: 0b

Counts
68 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.7b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
18.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series55.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- y z))
7.0ms
(/ x (- t z))
44.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
053271513

prune125.0ms

Filtered
100 candidates to 159 candidates (-59.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1572159
Fresh235
Picked011
Done011
Total1597166

Merged error: 0b

Counts
166 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.6b
(/ (/ x (- t z)) (- y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
11.0ms
(/ (/ x (- t z)) (- y z))

series32.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- t z))
25.0ms
(/ (/ x (- t z)) (- y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050083096

prune133.0ms

Filtered
129 candidates to 191 candidates (-48.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh134
Picked011
Done112
Total1926198

Merged error: 0b

Counts
198 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* x (/ 1 (- t z)))
1.6b
(/ (* x (/ 1 (- t z))) (- y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×prod-exp
6×pow1 cbrt-undiv associate-/r/
4×cbrt-unprod associate-/l*
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
6.0ms
(/ 1 (- t z))
10.0ms
(* x (/ 1 (- t z)))
10.0ms
(/ (* x (/ 1 (- t z))) (- y z))

series40.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- t z))
9.0ms
(* x (/ 1 (- t z)))
26.0ms
(/ (* x (/ 1 (- t z))) (- y z))

simplify76.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050081005

prune87.0ms

Filtered
74 candidates to 127 candidates (-71.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 0b

Counts
133 → 6

regimes361.0ms

Accuracy

1.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch662.0ms

Steps
ItersRangePoint
8
1.9467485958359804e-261
1.5071345805878154e-258
9.196886338097272e-261
5
-9.799596008120973e-258
-4.419112011366786e-258
-7.683848528630963e-258

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02027
12027

end0.0ms

analyze402.0ms

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample429.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
11.0ms386×body80invalid

Profiling

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