Details

Time bar (total: 4.0s)

sample35.0ms

Algorithm
intervals
Results
9.0ms245×body80valid
2.0ms12×body640valid
2.0ms9×body1280valid
2.0ms14×body320valid
1.0ms11×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.8b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.9b
(* (- 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:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ 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)))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25002820

prune380.0ms

Filtered
128 candidates to 88 candidates (31.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New11414128
Fresh000
Picked011
Done000
Total11415129

Merged error: 4.7b

Counts
129 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
1.1b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
8.7b
(+ 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 (- t x))
3.0ms
(cbrt (- t x))
24.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (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)))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
29.0ms
(cbrt (- t x))
119.0ms
(* (- 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)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06921381
127141170
250021136

prune163.0ms

Filtered
97 candidates to 72 candidates (25.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh01313
Picked011
Done011
Total9715112

Merged error: 4.7b

Counts
112 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.0b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.4b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite55.0ms

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))
39.0ms
(* (/ (- 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:
28.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
58.0ms
(* (/ (- 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)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07521843
133101675
250011584

prune183.0ms

Filtered
146 candidates to 103 candidates (29.5%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1460146
Fresh01212
Picked011
Done022
Total14615161

Merged error: 4.7b

Counts
161 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
5.9b
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
8.4b
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×pow1 add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 121
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
26.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
3.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
38.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
50.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07822055
129181882
250011849

prune141.0ms

Filtered
133 candidates to 90 candidates (32.3%)
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1321133
Fresh01111
Picked011
Done033
Total13216148

Merged error: 4.7b

Counts
148 → 16

regimes887.0ms

Accuracy

57.3% (3.5b remaining)

Error of 7.5b against oracle of 4.0b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04651
14651

end0.0ms

sample995.0ms

Algorithm
intervals
Results
312.0ms7760×body80valid
72.0ms492×body640valid
48.0ms437×body320valid
47.0ms243×body1280valid
19.0ms252×body160valid
4.0ms18×body2560valid

Profiling

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