Details

Time bar (total: 3.6s)

sample36.0ms

Algorithm
intervals
Results
9.0ms248×body80valid
3.0ms21×body640valid
1.0ms8×body1280valid
1.0ms9×body320valid
1.0ms9×body160valid
0.0ms2×body2560valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0489213
1489213

prune12.0ms

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: 11.8b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.5b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.1b
(* (- y z) (/ (- t x) (- a z)))

rewrite49.0ms

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:
14.0ms
(/ (- t x) (- a z))
11.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
18.0ms
(* (- y z) (/ (- t x) (- a z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
62.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
38.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051831602

prune176.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11810128
Fresh011
Picked101
Done000
Total11911130

Merged error: 3.0b

Counts
130 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.9b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.6b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity
10×cbrt-prod
9×pow1 frac-times prod-exp cbrt-unprod
7×add-cube-cbrt
6×flip3-- associate-*r/ flip-- add-log-exp
5×associate-*l* associate-*l/
4×cbrt-undiv cbrt-div div-exp
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-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))
30.0ms
(* (- 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 (- a z)))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
128.0ms
(* (- 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)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050321489

prune136.0ms

Filtered
63 candidates to 91 candidates (-44.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh01010
Picked011
Done000
Total9012102

Merged error: 3.0b

Counts
102 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.9b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.4b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite56.0ms

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))
38.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
4.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
59.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
51.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053142524

prune173.0ms

Filtered
108 candidates to 146 candidates (-35.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh01010
Picked011
Done011
Total14612158

Merged error: 3.0b

Counts
158 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
2.6b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
2.9b
(* (/ (- t x) (- a z)) (cbrt (- y z)))
8.7b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
52×add-sqr-sqrt
42×*-un-lft-identity
37×associate-*r/
32×associate-*l*
30×add-exp-log associate-*l/
27×times-frac
18×pow1 add-cube-cbrt add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
9×associate-*r* pow-prod-down
6×add-log-exp
4×unswap-sqr
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 166
Calls
4 calls:
5.0ms
(cbrt (- y z))
24.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
17.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
4.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- y z))
37.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
68.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
51.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052453789

prune153.0ms

Filtered
107 candidates to 178 candidates (-66.4%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh099
Picked011
Done022
Total17713190

Merged error: 3.0b

Counts
190 → 13

regimes704.0ms

Accuracy

22.9% (6.6b remaining)

Error of 10.1b against oracle of 3.5b and baseline of 12.1b

bsearch48.0ms

Steps
ItersRangePoint
8
5.741280018647646e-167
4.416221272090916e-163
3.499420854642183e-165
5
-4.877098420142213e-139
-1.6011478631059548e-139
-2.0499749804038198e-139

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07378
17378

end0.0ms

sample984.0ms

Algorithm
intervals
Results
293.0ms7756×body80valid
68.0ms473×body640valid
48.0ms276×body1280valid
41.0ms393×body320valid
21.0ms269×body160valid
5.0ms24×body2560valid

Profiling

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