Details

Time bar (total: 9.1s)

analyze987.0ms

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
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample32.0ms

Algorithm
intervals
Results
8.0ms215×body80valid
2.0ms15×body640valid
2.0ms10×body1280valid
1.0ms32×body80invalid
1.0ms9×body320valid
0.0ms6×body160valid
0.0ms1×body2560valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0505113

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: 10.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.2b
(* (- y x) (/ (- z t) (- a t)))
2.1b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite31.0ms

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:
7.0ms
(/ (- z t) (- a t))
15.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series93.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
32.0ms
(* (- y x) (/ (- z t) (- a t)))
52.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
055681598

prune185.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New11315128
Fresh101
Picked011
Done000
Total11416130

Merged error: 4.1b

Counts
130 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
7.2b
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
6×frac-times flip3-- associate-*l/ flip-- add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×cbrt-prod pow1/3 associate-*r/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 53
Calls
4 calls:
12.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
502.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
503.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
504.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
51.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05024983

prune127.0ms

Filtered
58 candidates to 65 candidates (-12.1%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh01414
Picked011
Done011
Total651681

Merged error: 4.1b

Counts
81 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.2b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
7.4b
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite40.0ms

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

series142.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- z t))
28.0ms
(cbrt (- z t))
33.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
54.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049762962
149762962

prune182.0ms

Filtered
91 candidates to 133 candidates (-46.2%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1321133
Fresh01313
Picked011
Done022
Total13217149

Merged error: 4.1b

Counts
149 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
2.4b
(* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))
7.4b
(+ x (* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

rewrite50.0ms

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 t))
3.0ms
(cbrt (- a t))
35.0ms
(* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))
3.0ms
(+ x (* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a t))
28.0ms
(cbrt (- a t))
43.0ms
(* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))
53.0ms
(+ x (* (/ (- y x) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049612519
149612519

prune129.0ms

Filtered
109 candidates to 146 candidates (-33.9%)
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1442146
Fresh4913
Picked011
Done033
Total14815163

Merged error: 4.1b

Counts
163 → 15

regimes594.0ms

Accuracy

17.1% (6.7b remaining)

Error of 10.2b against oracle of 3.5b and baseline of 11.6b

bsearch2.6s

Steps
ItersRangePoint
9
5.085893773730143e+234
2.3556125899345648e+241
1.5328374329869126e+239
9
-4.6706752411123485e+94
-1.4410909759338503e+88
-4.600313077092651e+94

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343
13343

end0.0ms

analyze982.0ms

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
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample784.0ms

Algorithm
intervals
Results
251.0ms6561×body80valid
73.0ms473×body640valid
51.0ms270×body1280valid
48.0ms1217×body80invalid
43.0ms414×body320valid
23.0ms266×body160valid
3.0ms16×body2560valid

Profiling

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