Details

Time bar (total: 4.4s)

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

sample29.0ms

Algorithm
intervals
Results
8.0ms206×body80valid
3.0ms19×body640valid
2.0ms10×body1280valid
1.0ms39×body80invalid
1.0ms10×body320valid
1.0ms11×body160valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0489213
1489213

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

3.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.4b
(* (- y z) (/ (- t x) (- a z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
14×add-cube-cbrt
11×distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
flip3-- flip--
frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 67
Calls
2 calls:
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05279949

prune148.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New621173
Fresh011
Picked011
Done000
Total621375

Merged error: 4.8b

Counts
75 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.1b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.0b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite40.0ms

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 (- a z))
3.0ms
(cbrt (- a z))
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)))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
29.0ms
(cbrt (- a z))
121.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (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)))))

simplify31.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050321489

prune175.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New89291
Fresh01111
Picked011
Done011
Total8915104

Merged error: 4.8b

Counts
104 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.1b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.5b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

rewrite40.0ms

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 (- a z))
3.0ms
(cbrt (- a z))
27.0ms
(* (- 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 (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
120.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
53.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

simplify33.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
056761831

prune184.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh01212
Picked101
Done022
Total9115106

Merged error: 4.8b

Counts
106 → 15

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
9.2b
(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

rewrite16.0ms

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 (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
5.0ms
(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

series132.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
53.0ms
(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049831149
149831149

prune99.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh11112
Picked011
Done022
Total681583

Merged error: 4.8b

Counts
83 → 15

regimes746.0ms

Accuracy

39.1% (5.3b remaining)

Error of 8.7b against oracle of 3.4b and baseline of 12.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
085125
185125

end0.0ms

sample810.0ms

Algorithm
intervals
Results
259.0ms6521×body80valid
78.0ms514×body640valid
54.0ms1269×body80invalid
46.0ms262×body1280valid
43.0ms408×body320valid
20.0ms279×body160valid
3.0ms16×body2560valid

Profiling

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