Details

Time bar (total: 8.8s)

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
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample28.0ms

Algorithm
intervals
Results
8.0ms208×body80valid
2.0ms18×body640valid
1.0ms14×body320valid
1.0ms6×body1280valid
1.0ms25×body80invalid
1.0ms10×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0507813

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: 11.5b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.7b
(* (- y z) (/ (- t x) (- a z)))

rewrite34.0ms

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))))
19.0ms
(* (- y z) (/ (- t x) (- a z)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
51.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
056461598

prune175.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New11513128
Fresh011
Picked101
Done000
Total11614130

Merged error: 3.4b

Counts
130 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.4b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
78×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
34×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×add-log-exp
5×associate-*r/ associate-*l/
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 175
Calls
4 calls:
3.0ms
(cbrt (- a z))
10.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
33.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
29.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
56.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
53.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
056452764

prune227.0ms

Filtered
125 candidates to 187 candidates (-49.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1852187
Fresh01313
Picked011
Done000
Total18516201

Merged error: 3.4b

Counts
201 → 16

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (- t x) (/ 1 (- a z)))
4.3b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.7b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×add-exp-log
25×*-un-lft-identity
22×associate-*r*
20×frac-times
17×times-frac add-cbrt-cube
16×flip3-- flip--
14×add-cube-cbrt
13×prod-exp
10×pow1 associate-*r/ associate-*l* associate-*l/
7×cbrt-unprod
5×distribute-lft-out-- add-log-exp difference-of-squares
4×div-exp pow-prod-down un-div-inv
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-/r/ *-commutative
1×+-commutative flip3-+ sum-log flip-+ div-inv
Counts
3 → 105
Calls
3 calls:
12.0ms
(* (- t x) (/ 1 (- a z)))
3.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series100.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (- t x) (/ 1 (- a z)))
53.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
34.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050171436

prune151.0ms

Filtered
76 candidates to 114 candidates (-50.0%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh21214
Picked011
Done011
Total11416130

Merged error: 3.4b

Counts
130 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) (- t x))
0.4b
(/ 1 (/ (- a z) (- t x)))
4.5b
(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
6.7b
(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
326×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 344
Calls
4 calls:
8.0ms
(/ (- a z) (- t x))
11.0ms
(/ 1 (/ (- a z) (- t x)))
3.0ms
(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
34.0ms
(* (- y z) (/ 1 (/ (- a z) (- t x))))

series152.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (- a z) (- t x))
30.0ms
(/ 1 (/ (- a z) (- t x)))
50.0ms
(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
59.0ms
(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify76.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051994961

prune253.0ms

Filtered
206 candidates to 356 candidates (-72.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New3542356
Fresh4913
Picked101
Done022
Total35913372

Merged error: 3.4b

Counts
372 → 13

regimes662.0ms

Accuracy

32.4% (5.8b remaining)

Error of 9.1b against oracle of 3.3b and baseline of 11.9b

bsearch3.4s

Steps
ItersRangePoint
10
7.038535630355319e-119
3.522086730407239e-107
9.99656078994344e-119
10
-1.3108042166501573e-96
-1.939476208550362e-107
-2.39424874483831e-107

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02831
12831

end0.0ms

analyze994.0ms

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
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample786.0ms

Algorithm
intervals
Results
267.0ms6528×body80valid
67.0ms480×body640valid
52.0ms275×body1280valid
45.0ms428×body320valid
44.0ms1181×body80invalid
20.0ms271×body160valid
4.0ms18×body2560valid

Profiling

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