Details

Time bar (total: 6.1s)

sample27.0ms

Algorithm
intervals
Results
8.0ms248×body80valid
2.0ms15×body640valid
2.0ms16×body320valid
1.0ms8×body1280valid
1.0ms8×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.4b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.3b
(* (- 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:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
18.0ms
(* (- y z) (/ (- t x) (- a z)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- t x) (- a z))
146.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
126.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune299.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New11216128
Fresh000
Picked101
Done000
Total11316129

Merged error: 4.6b

Counts
129 → 16

localize17.0ms

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

rewrite38.0ms

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))
26.0ms
(* (- 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)))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- t x))
139.0ms
(cbrt (- t x))
272.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
150.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06801363
126541151
250011129

prune320.0ms

Filtered
97 candidates to 74 candidates (76.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01515
Picked011
Done000
Total9716113

Merged error: 4.6b

Counts
113 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.4b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.3b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite52.0ms

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)))))

series726.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- a z))
144.0ms
(cbrt (- a z))
286.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
152.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07441831
132871663
250011576

prune380.0ms

Filtered
146 candidates to 103 candidates (70.5%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1442146
Fresh31114
Picked011
Done011
Total14715162

Merged error: 4.6b

Counts
162 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.2b
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
9.7b
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
98×times-frac
84×cbrt-prod
74×*-un-lft-identity
69×add-exp-log
61×associate-*r*
44×cbrt-div
42×add-cbrt-cube
36×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 → 183
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
65.0ms
(* (/ (/ (- 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))))))

series904.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- a z))
142.0ms
(cbrt (- a z))
287.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
333.0ms
(+ 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
195 → 195
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011314150
150013682

prune613.0ms

Filtered
195 candidates to 147 candidates (75.4%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1932195
Fresh01212
Picked011
Done022
Total19317210

Merged error: 4.6b

Counts
210 → 17

regimes426.0ms

Accuracy

59% (3.5b remaining)

Error of 7.8b against oracle of 4.3b and baseline of 12.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05060
15060

end0.0ms

sample732.0ms

Algorithm
intervals
Results
275.0ms7827×body80valid
65.0ms462×body640valid
50.0ms292×body1280valid
44.0ms428×body320valid
18.0ms265×body160valid
4.0ms20×body2560valid