Details

Time bar (total: 40.7s)

sample18.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.196289%

Guaranteed chance to sample good point: 35.82592%

Results
8.0ms210×body80valid
3.0ms19×body640valid
1.0ms39×body80invalid
1.0ms11×body320valid
1.0ms6×body1280valid
1.0ms10×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.5b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.8b
(* (- y z) (/ (- t x) (- a z)))

rewrite34.0ms

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:
10.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms
(* (- 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)))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0473869
12012820
25002820

prune179.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New11612128
Fresh000
Picked011
Done000
Total11613129

Merged error: 4.8b

Counts
129 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.0b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
8.6b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
9×prod-exp cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/
3×associate-*r/ distribute-lft-out-- difference-of-squares
2×times-frac pow1/3 unswap-sqr
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
24.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
5.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
121.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
54.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06831381
126801170
250011136

prune157.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh01111
Picked011
Done011
Total9614110

Merged error: 4.8b

Counts
110 → 14

localize14.0ms

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))))
8.3b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite53.0ms

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))
37.0ms
(* (/ (- 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)))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
55.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
53.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07521839
133201671
250011580

prune185.0ms

Filtered
103 candidates to 146 candidates (-41.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1442146
Fresh11011
Picked101
Done022
Total14614160

Merged error: 4.8b

Counts
160 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- a z)))
0.6b
(cbrt (cbrt (- a z)))
2.1b
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
7.4b
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
100×cbrt-prod
98×times-frac
76×*-un-lft-identity
69×add-exp-log
61×associate-*r*
48×cbrt-div
42×add-cbrt-cube
38×add-cube-cbrt
29×associate-*l*
27×cbrt-undiv div-exp
24×prod-exp cbrt-unprod
19×distribute-lft-out-- difference-of-squares
18×associate-/r/
15×flip3-- flip--
12×unswap-sqr
9×frac-times
6×pow1 add-log-exp
5×associate-*r/ associate-*l/
3×div-inv
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 189
Calls
4 calls:
3.0ms
(cbrt (cbrt (- a z)))
3.0ms
(cbrt (cbrt (- a z)))
63.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
3.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (cbrt (- a z)))
27.0ms
(cbrt (cbrt (- a z)))
58.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
50.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011414254
150023782

prune202.0ms

Filtered
153 candidates to 201 candidates (-31.4%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New2010201
Fresh01111
Picked011
Done022
Total20114215

Merged error: 4.8b

Counts
215 → 14

regimes701.0ms

Accuracy

56.8% (3.5b remaining)

Error of 7.9b against oracle of 4.5b and baseline of 12.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04960
14960

end0.0ms

sample20.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.196289%

Guaranteed chance to sample good point: 35.82592%

Results
260.0ms6519×body80valid
73.0ms508×body640valid
51.0ms278×body1280valid
47.0ms1107×body80invalid
45.0ms433×body320valid
18.0ms250×body160valid
3.0ms12×body2560valid

Profiling

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