Details

Time bar (total: 4.7s)

analyze1.1s

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

sample31.0ms

Algorithm
intervals
Results
7.0ms198×body80valid
3.0ms23×body640valid
2.0ms12×body1280valid
1.0ms13×body320valid
1.0ms38×body80invalid
1.0msbody160valid
0.0msbody2560valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0489213
1489213

prune17.0ms

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: 14.1b

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))))
6.4b
(* (- y z) (/ (- t x) (- a z)))

rewrite33.0ms

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))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
53.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051831602

prune188.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New11414128
Fresh011
Picked011
Done000
Total11416130

Merged error: 5.1b

Counts
130 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
1.1b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
13.1b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite43.0ms

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))
30.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
5.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
123.0ms
(* (- 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)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050251489

prune147.0ms

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

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh01414
Picked011
Done011
Total9116107

Merged error: 5.1b

Counts
107 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
6.4b
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
11.2b
(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

rewrite82.0ms

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
div-inv
pow1 add-log-exp
cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod unswap-sqr
pow1/3
+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 215
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
54.0ms
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
4.0ms
(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
28.0ms
(cbrt (- a z))
37.0ms
(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
57.0ms
(+ 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 (34.0ms)

IterNodesCost
060954540

prune273.0ms

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

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New2261227
Fresh11213
Picked011
Done022
Total22716243

Merged error: 5.1b

Counts
243 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
2.8b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
3.7b
(* (/ (- t x) (- a z)) (cbrt (- y z)))
10.4b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
52×add-sqr-sqrt
42×*-un-lft-identity
37×associate-*r/
32×associate-*l*
30×add-exp-log associate-*l/
27×times-frac
18×pow1 add-cube-cbrt add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
associate-*r* pow-prod-down
add-log-exp
unswap-sqr
cbrt-undiv div-exp
associate-/r/ *-commutative
+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (- y z))
27.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
17.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y z))
39.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
65.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
56.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052453789

prune144.0ms

Filtered
108 candidates to 178 candidates (-64.8%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh11112
Picked101
Done033
Total17915194

Merged error: 5.1b

Counts
194 → 15

regimes757.0ms

Accuracy

22.4% (6.8b remaining)

Error of 10.5b against oracle of 3.7b and baseline of 12.4b

bsearch61.0ms

Steps
ItersRangePoint
9
2.3959312119378924e-208
2.1102732195941162e-201
2.0734958753318865e-201
10
-8.520519897971118e-75
-1.3418974336148482e-92
-3.0348554888084793e-89

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06955
16955

end0.0ms

sample813.0ms

Algorithm
intervals
Results
264.0ms6527×body80valid
72.0ms506×body640valid
54.0ms1233×body80invalid
53.0ms256×body1280valid
44.0ms403×body320valid
21.0ms290×body160valid
4.0ms18×body2560valid

Profiling

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