Details

Time bar (total: 4.5s)

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

sample50.0ms

Algorithm
intervals
Results
12.0ms197×body80valid
4.0ms19×body640valid
3.0ms20×body320valid
2.0ms41×body80invalid
2.0ms9×body1280valid
1.0ms11×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0489213
1489213

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: 13.8b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.7b
(* (- 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
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-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)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
52.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051831602

prune176.0ms

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

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New11513128
Fresh011
Picked011
Done000
Total11515130

Merged error: 3.9b

Counts
130 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
11.9b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
4.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
42.0ms
(cbrt (- a z))
53.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04988674
14988674

prune115.0ms

Filtered
51 candidates to 68 candidates (-33.3%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh01313
Picked011
Done011
Total681583

Merged error: 3.9b

Counts
83 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
4.7b
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
10.9b
(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
142×associate-*r*
128×add-sqr-sqrt
114×*-un-lft-identity
102×cbrt-div
97×cbrt-prod
66×associate-/r/
58×add-cube-cbrt
53×flip3-- flip--
34×frac-times
28×distribute-lft-out-- difference-of-squares
18×add-exp-log associate-*l/
17×associate-*r/
13×add-cbrt-cube
9×div-inv
6×pow1 add-log-exp
5×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod unswap-sqr
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 215
Calls
4 calls:
3.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
78.0ms
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
7.0ms
(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
54.0ms
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
50.0ms
(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
060954540

prune265.0ms

Filtered
166 candidates to 227 candidates (-36.7%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New2270227
Fresh01212
Picked011
Done022
Total22715242

Merged error: 3.9b

Counts
242 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

4.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.7b
(* (- y z) (/ (- t x) (- a z)))
4.7b
(* (- y z) (/ (- t x) (- a z)))
4.7b
(* (- y z) (/ (- t x) (- a z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
106×*-un-lft-identity
93×associate-*r*
78×times-frac
40×add-cube-cbrt
33×distribute-lft-out-- difference-of-squares
19×add-exp-log add-cbrt-cube
15×associate-*l*
10×pow1
9×flip3-- flip--
6×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 179
Calls
4 calls:
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))
17.0ms
(* (- y z) (/ (- t x) (- a z)))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
37.0ms
(* (- y z) (/ (- t x) (- a z)))
36.0ms
(* (- y z) (/ (- t x) (- a z)))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052792373

prune158.0ms

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

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1874191
Fresh11011
Picked101
Done123
Total19016206

Merged error: 3.8b

Counts
206 → 16

regimes779.0ms

Accuracy

45.8% (6.0b remaining)

Error of 9.7b against oracle of 3.7b and baseline of 14.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06998
16998

end0.0ms

sample790.0ms

Algorithm
intervals
Results
262.0ms6538×body80valid
64.0ms469×body640valid
52.0ms299×body1280valid
51.0ms1222×body80invalid
44.0ms420×body320valid
18.0ms257×body160valid
4.0ms17×body2560valid

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