Details

Time bar (total: 4.3s)

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample32.0ms

Algorithm
intervals
Results
8.0ms210×body80valid
2.0ms14×body640valid
2.0ms11×body1280valid
2.0ms14×body320valid
1.0ms38×body80invalid
1.0msbody160valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0502013

prune14.0ms

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: 10.9b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.7b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.7b
(* (- y z) (/ (- t x) (- a z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
22.0ms
(* (- y z) (/ (- t x) (- a z)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
50.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
065211596

prune190.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1199128
Fresh011
Picked011
Done000
Total11911130

Merged error: 2.7b

Counts
130 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.6b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
flip3-- flip--
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 add-log-exp unswap-sqr
frac-times
associate-*r/ associate-*l/
pow1/3 div-inv
+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
36.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
4.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
56.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
49.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
053892485

prune193.0ms

Filtered
106 candidates to 146 candidates (-37.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh189
Picked011
Done011
Total14611157

Merged error: 2.7b

Counts
157 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.8b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z)))))
2.7b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l*
pow1 add-cube-cbrt
times-frac
cbrt-div add-log-exp
frac-times associate-*r/
flip3-- pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
pow1/3 associate-/r/
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ div-inv
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
38.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z)))))
5.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z))))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
54.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z)))))
53.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (- t x) (cbrt (- a z))) (/ (cbrt (- y z)) (cbrt (- a z))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050042124

prune136.0ms

Filtered
68 candidates to 115 candidates (-69.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh088
Picked011
Done022
Total11511126

Merged error: 2.7b

Counts
126 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- t x) (/ 1 (- a z)))
5.6b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
5.7b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
distribute-lft-out-- difference-of-squares
cbrt-unprod
div-exp add-log-exp
associate-/r*
pow-prod-down associate-/r/ un-div-inv
cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
*-commutative div-inv
+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a z))
13.0ms
(* (- t x) (/ 1 (- a z)))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
12.0ms
(* (- t x) (/ 1 (- a z)))
49.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
37.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify65.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049591766
149591766

prune150.0ms

Filtered
99 candidates to 158 candidates (-59.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1580158
Fresh077
Picked011
Done033
Total15811169

Merged error: 2.7b

Counts
169 → 11

regimes685.0ms

Accuracy

34.7% (6.0b remaining)

Error of 9.8b against oracle of 3.8b and baseline of 13.0b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0151114
1151114

end0.0ms

sample850.0ms

Algorithm
intervals
Results
272.0ms6452×body80valid
79.0ms542×body640valid
52.0ms1156×body80invalid
49.0ms428×body320valid
48.0ms271×body1280valid
21.0ms283×body160valid
5.0ms24×body2560valid

Profiling

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