Details

Time bar (total: 3.5s)

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
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms25×body80invalid

simplify188.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (186.0ms)

IterNodesCost
0560011

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: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.6b
(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- a t))
17.0ms
(* y (/ (- z t) (- a t)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
17.0ms
(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune122.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh011
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
10×cbrt-div
9×pow1
8×add-cube-cbrt prod-exp cbrt-unprod
6×associate-*r/
5×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
20.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t))))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))
61.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t))))))

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
06232966

prune113.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh066
Picked101
Done011
Total84892

Merged error: 0b

Counts
92 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (- a t))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series92.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a t))
21.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify61.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04882296
14882296

prune85.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh066
Picked011
Done011
Total60868

Merged error: 0b

Counts
68 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.6b
(* y (* (- z t) (/ 1 (- a t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- z t) (/ 1 (- a t)))
13.0ms
(* y (* (- z t) (/ 1 (- a t))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1 (- a t))
10.0ms
(* (- z t) (/ 1 (- a t)))
16.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
059001082

prune97.0ms

Filtered
76 candidates to 128 candidates (-68.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh145
Picked011
Done022
Total1288136

Merged error: 0b

Counts
136 → 8

regimes571.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03640
13640

end0.0ms

sample619.0ms

Algorithm
intervals
Results
315.0ms7996×body80valid
27.0ms749×body80invalid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

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