Details

Time bar (total: 9.6s)

analyze1.1s

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

sample30.0ms

Algorithm
intervals
Results
8.0ms206×body80valid
3.0ms19×body640valid
2.0ms39×body80invalid
1.0ms14×body320valid
1.0ms7×body1280valid
1.0ms9×body160valid
0.0ms1×body2560valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
0505113

prune14.0ms

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
(/ (- z t) (- a t))
2.4b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite38.0ms

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
(/ (- z t) (- a t))
21.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series99.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- z t) (- a t))
36.0ms
(* (- y x) (/ (- z t) (- a t)))
53.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
055681598

prune193.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New11414128
Fresh101
Picked101
Done000
Total11614130

Merged error: 3.7b

Counts
130 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
5.2b
(+ x (* (* (- y x) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(+ x (* (* (- y x) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (- a t))
30.0ms
(cbrt (- a t))
33.0ms
(cbrt (- a t))
54.0ms
(+ x (* (* (- y x) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05002687

prune141.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh01313
Picked011
Done000
Total671582

Merged error: 3.7b

Counts
82 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* (- z t) (/ 1 (- a t)))
2.4b
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.2b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite46.0ms

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:
6.0ms
(/ 1 (- a t))
14.0ms
(* (- z t) (/ 1 (- a t)))
16.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (- a t))
10.0ms
(* (- z t) (/ 1 (- a t)))
34.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
55.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051911774

prune194.0ms

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

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh01313
Picked011
Done011
Total15815173

Merged error: 3.7b

Counts
173 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.6b
(cbrt (* (- y x) (/ (- z t) (- a t))))
9.1b
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite39.0ms

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))))
12.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
11.0ms
(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))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
556.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
587.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
565.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
58.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05024983

prune80.0ms

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

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh01212
Picked011
Done022
Total651580

Merged error: 3.7b

Counts
80 → 15

regimes698.0ms

Accuracy

27.1% (6.2b remaining)

Error of 9.6b against oracle of 3.4b and baseline of 11.9b

bsearch2.5s

Steps
ItersRangePoint
8
1.735679190241699e+177
6.42964634755063e+180
5.6077084680207815e+178
8
-7.223619901253845e+126
-2.4280375314450106e+123
-4.571974265763399e+124

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04165
14165

end0.0ms

analyze1.0s

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

sample1.1s

Algorithm
intervals
Results
276.0ms6515×body80valid
274.0ms424×body320valid
91.0ms542×body640valid
56.0ms1277×body80invalid
48.0ms244×body1280valid
20.0ms259×body160valid
4.0ms16×body2560valid

Profiling

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