Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
10.0ms255×body80valid
2.0ms13×body1280valid
1.0ms9×body640valid
1.0ms10×body320valid
1.0ms13×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
0545013

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.4b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.7b
(* (- 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)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
48.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
37.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify31.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050221602

prune177.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11513128
Fresh000
Picked101
Done000
Total11613129

Merged error: 3.1b

Counts
129 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.8b
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
9.0b
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite40.0ms

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))
28.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
4.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series216.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
114.0ms
(* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z)))))
50.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051191482

prune133.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh11112
Picked011
Done000
Total9113104

Merged error: 3.0b

Counts
104 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- t x) (/ 1 (- a z)))
5.1b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.7b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a z))
13.0ms
(* (- t x) (/ 1 (- a z)))
3.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
13.0ms
(* (- t x) (/ 1 (- a z)))
47.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
37.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
054771770

prune170.0ms

Filtered
96 candidates to 158 candidates (-64.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh01111
Picked011
Done101
Total15813171

Merged error: 3.0b

Counts
171 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
2.7b
(* (/ (- t x) (- a z)) (cbrt (- y z)))
4.3b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
8.8b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

rewrite59.0ms

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:
3.0ms
(cbrt (- y z))
18.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
25.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
3.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- y z))
61.0ms
(* (/ (- t x) (- a z)) (cbrt (- y z)))
36.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z))))
52.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ (- t x) (- a z)) (cbrt (- y z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051123793

prune142.0ms

Filtered
109 candidates to 178 candidates (-63.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh01111
Picked011
Done011
Total17813191

Merged error: 3.0b

Counts
191 → 13

regimes579.0ms

Accuracy

31.9% (8.0b remaining)

Error of 11.8b against oracle of 3.8b and baseline of 15.5b

bsearch107.0ms

Steps
ItersRangePoint
6
5.425932252162394e+171
6.643807988916949e+172
6.866555469574397e+171
9
-4.2691825523996116e-262
-2.2677743032234995e-268
-7.500713077892898e-263
8
-1.88969191456339e-79
-2.1020264628279937e-82
-2.1777361692334196e-82
11
-5.0764588995416334e+147
-1.7137206042432786e+124
-7.381194625539091e+145

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04283
14283

end0.0ms

sample1.0s

Algorithm
intervals
Results
302.0ms7715×body80valid
74.0ms486×body640valid
51.0ms254×body1280valid
51.0ms464×body320valid
22.0ms293×body160valid
4.0ms16×body2560valid

Profiling

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