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%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14

sample36.0ms

Algorithm
intervals
Results
8.0ms194×body80valid
6.0ms19×body320valid
3.0ms22×body640valid
1.0ms39×body80invalid
1.0msbody1280valid
1.0ms11×body160valid
0.0msbody2560valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.8b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.1b
(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

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:
7.0ms
(/ (- t x) (- a z))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- t x) (- a z))
49.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
38.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051831602

prune241.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New11216128
Fresh000
Picked101
Done000
Total11316129

Merged error: 5.5b

Counts
129 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
0.7b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
11.1b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity
10×cbrt-prod
pow1 frac-times prod-exp cbrt-unprod
add-cube-cbrt
flip3-- associate-*r/ flip-- add-log-exp
associate-*l* associate-*l/
cbrt-undiv cbrt-div div-exp
pow-prod-down distribute-lft-out-- difference-of-squares
pow1/3
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
29.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (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)))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
25.0ms
(cbrt (- t x))
119.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
50.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify31.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050251489

prune156.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh11415
Picked011
Done000
Total9017107

Merged error: 5.5b

Counts
107 → 17

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
12.3b
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
34×add-sqr-sqrt
32×*-un-lft-identity
16×cbrt-div
14×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
add-exp-log add-log-exp difference-of-squares
frac-times add-cbrt-cube unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
+-commutative pow2 flip3-+ pow-plus prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
4 → 97
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
11.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
7.0ms
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
32.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
52.0ms
(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049361169
149361169

prune172.0ms

Filtered
74 candidates to 109 candidates (-47.3%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh11415
Picked011
Done011
Total10818126

Merged error: 5.5b

Counts
126 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (- y z)))
0.5b
(cbrt (cbrt (- y z)))
0.9b
(pow (cbrt (cbrt (- y z))) 4)
13.5b
(+ x (* (* (* (pow (cbrt (cbrt (- y z))) 4) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
18×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
11×unpow-prod-down
cbrt-div
add-log-exp
pow1 add-exp-log
add-cbrt-cube
pow-unpow pow1/3 distribute-lft-out-- difference-of-squares
flip3-- pow-pow flip--
+-commutative pow-to-exp flip3-+ pow-exp sum-log flip-+ sqr-pow
Counts
4 → 73
Calls
4 calls:
4.0ms
(cbrt (cbrt (- y z)))
4.0ms
(cbrt (cbrt (- y z)))
6.0ms
(pow (cbrt (cbrt (- y z))) 4)
8.0ms
(+ x (* (* (* (pow (cbrt (cbrt (- y z))) 4) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (cbrt (- y z)))
27.0ms
(cbrt (cbrt (- y z)))
46.0ms
(pow (cbrt (cbrt (- y z))) 4)
55.0ms
(+ x (* (* (* (pow (cbrt (cbrt (- y z))) 4) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (cbrt (- y z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050051275

prune112.0ms

Filtered
65 candidates to 85 candidates (-30.8%)
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New82385
Fresh11415
Picked011
Done022
Total8320103

Merged error: 5.4b

Counts
103 → 20

regimes953.0ms

Accuracy

65.7% (2.9b remaining)

Error of 6.6b against oracle of 3.7b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07990
17990

end0.0ms

sample807.0ms

Algorithm
intervals
Results
257.0ms6518×body80valid
69.0ms459×body640valid
55.0ms287×body1280valid
48.0ms1176×body80invalid
45.0ms412×body320valid
26.0ms301×body160valid
8.0ms23×body2560valid

Profiling

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