Details

Time bar (total: 4.7s)

analyze1.1s

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
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
018313
118313

prune13.0ms

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ t (- 1.0 z)))
0.6b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- z y) (+ t (- 1.0 z)))
19.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series31.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- z y) (+ t (- 1.0 z)))
20.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
053781325

prune119.0ms

Filtered
63 candidates to 108 candidates (-71.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh011
Picked101
Done000
Total1073110

Merged error: 0b

Counts
110 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t (- 1.0 z)) (- z y))
0.2b
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
0.6b
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
446×*-un-lft-identity
392×times-frac
253×add-sqr-sqrt
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×associate-+r- pow-flip flip3-+ div-sub associate-*r/ pow-prod-down un-div-inv *-commutative flip-+ inv-pow
Counts
3 → 327
Calls
3 calls:
10.0ms
(/ (+ t (- 1.0 z)) (- z y))
14.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
32.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

series54.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (+ t (- 1.0 z)) (- z y))
16.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
26.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
054774892

prune303.0ms

Filtered
165 candidates to 336 candidates (-103.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3360336
Fresh022
Picked011
Done000
Total3363339

Merged error: 0b

Counts
339 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
16.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series36.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ (- t z) 1.0) a)
29.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify60.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050683174

prune151.0ms

Filtered
103 candidates to 181 candidates (-75.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1810181
Fresh011
Picked011
Done011
Total1813184

Merged error: 0b

Counts
184 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (- z y))
9.4b
(/ (* a (- z y)) (+ t (- 1.0 z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/ distribute-lft-out
3×associate-*l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
2 → 53
Calls
2 calls:
8.0ms
(* a (- z y))
11.0ms
(/ (* a (- z y)) (+ t (- 1.0 z)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* a (- z y))
21.0ms
(/ (* a (- z y)) (+ t (- 1.0 z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04954547
14954547

prune54.0ms

Filtered
39 candidates to 59 candidates (-51.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done022
Total59362

Merged error: 0b

Counts
62 → 3

regimes418.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01815
11815

end0.0ms

analyze1.1s

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
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample850.0ms

Algorithm
intervals
Results
547.0ms7996×body80valid
20.0ms506×body80invalid
0.0ms2×body640valid
0.0ms2×body160valid

Profiling

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