Details

Time bar (total: 3.0s)

analyze574.0ms

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.0b
(/ (* x (- y z)) (- t z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series26.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
19.0ms
(/ (* x (- y z)) (- t z))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11209239
25001239

prune66.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.3b
(* x (/ (- y z) (- t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25002606

prune86.0ms

Filtered
68 candidates to 108 candidates (-58.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh033
Picked011
Done101
Total1085113

Merged error: 0b

Counts
113 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.4b
(/ x (/ (- t z) (- y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06331784
128631733
250011730

prune143.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1991200
Fresh123
Picked011
Done011
Total2005205

Merged error: 0b

Counts
205 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
6.9b
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
33.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t z))
25.0ms
(cbrt (- t z))
26.0ms
(cbrt (- t z))
26.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06581608
131321455
250011384

prune133.0ms

Filtered
115 candidates to 148 candidates (-28.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh022
Picked011
Done022
Total1485153

Merged error: 0b

Counts
153 → 5

regimes296.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

analyze587.0ms

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample489.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid
19.0ms638×body80invalid

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