Details

Time bar (total: 4.1s)

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

sample34.0ms

Algorithm
intervals
Results
12.0ms200×body80valid
3.0ms23×body640valid
2.0ms16×body320valid
1.0msbody1280valid
1.0ms35×body80invalid
1.0msbody160valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.9b
(* (- 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))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms
(* (- y z) (/ (- t x) (- a z)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
48.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
37.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051831602

prune175.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh000
Picked101
Done000
Total11712129

Merged error: 4.7b

Counts
129 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.7b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
10.4b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite39.0ms

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))
27.0ms
(* (- 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)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
27.0ms
(cbrt (- t x))
115.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
51.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify29.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050251489

prune132.0ms

Filtered
65 candidates to 91 candidates (-40.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh11011
Picked011
Done000
Total9112103

Merged error: 4.7b

Counts
103 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
9.4b
(+ 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)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
cbrt-div add-log-exp
pow1 add-exp-log add-cbrt-cube
flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
5.0ms
(+ 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)))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t x))
25.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
53.0ms
(+ 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)))))

simplify28.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05191677

prune111.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh01010
Picked011
Done011
Total681280

Merged error: 4.7b

Counts
80 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.5b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.9b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
78×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
34×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
frac-times prod-exp cbrt-unprod
cbrt-undiv pow1/3 div-exp
add-log-exp
associate-*r/ associate-*l/
pow-prod-down
pow-sqr *-commutative pow-prod-up div-inv
+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 175
Calls
4 calls:
3.0ms
(cbrt (- a z))
10.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
34.0ms
(* (/ (- 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)))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
29.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
57.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
50.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
056362900

prune186.0ms

Filtered
131 candidates to 187 candidates (-42.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh099
Picked011
Done022
Total18712199

Merged error: 4.7b

Counts
199 → 12

regimes566.0ms

Accuracy

14.8% (6.8b remaining)

Error of 10.4b against oracle of 3.6b and baseline of 11.6b

bsearch43.0ms

Steps
ItersRangePoint
5
4.173292350712252e-83
1.3560247159165915e-82
9.196191277453252e-83
8
-5.297296795687195e-81
-3.083554921782418e-85
-1.3334097012446936e-82

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07378
17378

end0.0ms

sample799.0ms

Algorithm
intervals
Results
269.0ms6593×body80valid
73.0ms493×body640valid
55.0ms1248×body80invalid
43.0ms401×body320valid
41.0ms231×body1280valid
20.0ms267×body160valid
3.0ms15×body2560valid

Profiling

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