Details

Time bar (total: 6.2s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample71.0ms

Algorithm
intervals
Results
8.0ms207×body80valid
2.0ms13×body1280valid
2.0ms15×body640valid
1.0ms13×body160valid
1.0ms6×body320valid
0.0ms2×body2560valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0489213
1489213

prune13.0ms

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: 11.4b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
5.5b
(* (- y z) (/ (- t x) (- a z)))
11.4b
(+ x (* (- y z) (/ (- t x) (- a z))))

rewrite35.0ms

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))
16.0ms
(* (- y z) (/ (- t x) (- a z)))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

series97.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
36.0ms
(* (- y z) (/ (- t x) (- a z)))
48.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051831602

prune182.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh011
Picked101
Done000
Total11812130

Merged error: 3.8b

Counts
130 → 12

localize16.0ms

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))))
11.4b
(+ 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))
35.0ms
(* (/ (- 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)))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
55.0ms
(* (/ (- 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)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053142524

prune187.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh11011
Picked101
Done000
Total14612158

Merged error: 3.8b

Counts
158 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
11.4b
(+ x (* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
296×cbrt-div
137×frac-times
111×flip3-- flip--
89×associate-*l*
84×add-sqr-sqrt
82×associate-/r/
78×cbrt-prod
73×*-un-lft-identity
63×times-frac
61×associate-*r*
45×associate-*r/ associate-*l/
36×add-exp-log
35×add-cube-cbrt
24×add-cbrt-cube
19×distribute-lft-out-- difference-of-squares
14×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
6×pow1 add-log-exp
4×unswap-sqr
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 223
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
103.0ms
(* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
4.0ms
(+ x (* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
54.0ms
(* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
53.0ms
(+ x (* (/ (- y z) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051747022

prune394.0ms

Filtered
195 candidates to 235 candidates (-20.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2314235
Fresh01111
Picked011
Done000
Total23116247

Merged error: 3.8b

Counts
247 → 16

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.7b
(* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))
1.0b
(* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))
11.4b
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
326×cbrt-div
158×frac-times
131×cbrt-prod
110×flip3-- flip--
90×associate-*l*
84×associate-*r/
82×associate-/r/
78×add-exp-log
72×add-sqr-sqrt
71×*-un-lft-identity
65×associate-*r*
60×times-frac
45×prod-exp cbrt-unprod
42×associate-*l/
37×add-cbrt-cube
35×add-cube-cbrt
18×pow1 distribute-lft-out-- difference-of-squares
12×cbrt-undiv div-exp
9×pow-prod-down
6×add-log-exp
2×*-commutative div-inv
1×+-commutative flip3-+ pow1/3 sum-log flip-+ unswap-sqr
Counts
4 → 259
Calls
4 calls:
3.0ms
(cbrt (- a z))
74.0ms
(* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))
57.0ms
(* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))
6.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
56.0ms
(* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))
128.0ms
(* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))
50.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (* (cbrt (/ (- t x) (cbrt (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z))))))) (cbrt (/ (- t x) (cbrt (cbrt (- a z)))))))

simplify144.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
0506011448

prune353.0ms

Filtered
190 candidates to 271 candidates (-42.6%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2710271
Fresh01414
Picked011
Done011
Total27116287

Merged error: 3.8b

Counts
287 → 16

regimes848.0ms

Accuracy

27.1% (6.7b remaining)

Error of 10.0b against oracle of 3.4b and baseline of 12.5b

bsearch54.0ms

Steps
ItersRangePoint
7
1.4176139727147326e+222
1.1500483298769504e+224
2.0634608585796736e+222
7
-2.4174937312998293e+178
-1.3932904314661146e+177
-1.380682506546204e+178

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07156
17156

end0.0ms

sample1.4s

Algorithm
intervals
Results
230.0ms6537×body80valid
71.0ms476×body640valid
50.0ms285×body1280valid
43.0ms405×body320valid
19.0ms276×body160valid
5.0ms21×body2560valid

Profiling

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