Details

Time bar (total: 5.1s)

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%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample33.0ms

Algorithm
intervals
Results
8.0ms217×body80valid
6.0ms9×body1280valid
2.0ms40×body80invalid
1.0ms13×body320valid
1.0ms9×body640valid
1.0ms8×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0507813

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: 9.2b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.9b
(* (- 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
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:
7.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
15.0ms
(* (- y z) (/ (- t x) (- a z)))

series93.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
49.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
33.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
056461598

prune169.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New11810128
Fresh011
Picked011
Done000
Total11812130

Merged error: 2.8b

Counts
130 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
7.0b
(+ x (* (* (- y z) (* (cbrt (- t x)) (/ (cbrt (- t x)) (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite13.0ms

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

series125.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
50.0ms
(+ x (* (* (- y z) (* (cbrt (- t x)) (/ (cbrt (- t x)) (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05004683

prune117.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh1910
Picked011
Done011
Total671380

Merged error: 2.5b

Counts
80 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.5b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
36.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
51.0ms
(* (/ (- 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)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049572493
149572493

prune176.0ms

Filtered
107 candidates to 146 candidates (-36.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1424146
Fresh2810
Picked101
Done112
Total14613159

Merged error: 2.5b

Counts
159 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.9b
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))
2.8b
(* (/ (- y z) (- a z)) (- t x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
75×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 122
Calls
3 calls:
9.0ms
(/ (- y z) (- a z))
4.0ms
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))
14.0ms
(* (/ (- y z) (- a z)) (- t x))

series109.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- y z) (- a z))
49.0ms
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))
51.0ms
(* (/ (- y z) (- a z)) (- t x))

simplify50.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
055351659

prune114.0ms

Filtered
89 candidates to 131 candidates (-47.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh11011
Picked011
Done011
Total13113144

Merged error: 2.5b

Counts
144 → 13

regimes684.0ms

Accuracy

41.9% (5.0b remaining)

Error of 8.0b against oracle of 3.0b and baseline of 11.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03655
13655

end0.0ms

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

sample811.0ms

Algorithm
intervals
Results
270.0ms6571×body80valid
66.0ms463×body640valid
56.0ms296×body1280valid
54.0ms1216×body80invalid
43.0ms400×body320valid
18.0ms249×body160valid
5.0ms21×body2560valid

Profiling

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