Details

Time bar (total: 4.7s)

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
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms15×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
018313
118313

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: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b
(/ (- z y) (+ t (- 1.0 z)))
0.3b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip--
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
12.0ms
(/ (- z y) (+ t (- 1.0 z)))
15.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series64.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
11.0ms
(/ (- z y) (+ t (- 1.0 z)))
20.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049751566
149751566

prune148.0ms

Filtered
75 candidates to 122 candidates (-62.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1175122
Fresh011
Picked101
Done000
Total1186124

Merged error: 0b

Counts
124 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
0.0b
(/ (+ t (- 1.0 z)) (- z y))
0.1b
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
0.3b
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
447×*-un-lft-identity
392×times-frac
254×add-sqr-sqrt
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+r- pow-flip div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 338
Calls
4 calls:
2.0ms
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
10.0ms
(/ (+ t (- 1.0 z)) (- z y))
14.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
32.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
11.0ms
(/ (+ t (- 1.0 z)) (- z y))
16.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
25.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051685141

prune343.0ms

Filtered
175 candidates to 350 candidates (-100.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3491350
Fresh145
Picked011
Done000
Total3506356

Merged error: 0b

Counts
356 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series92.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt a) (cbrt a))
21.0ms
(cbrt a)
22.0ms
(cbrt a)
22.0ms
(cbrt a)

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune85.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
0.0b
(/ a (+ t (- 1.0 z)))
9.1b
(* (/ a (+ t (- 1.0 z))) (- z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*l*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg associate-/r/
3×flip3-+ flip-+ associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ div-exp prod-exp flip-- cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg pow-prod-down associate-*l/ clear-num sum-log *-commutative difference-of-squares
Counts
3 → 98
Calls
3 calls:
3.0ms
(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
9.0ms
(/ a (+ t (- 1.0 z)))
14.0ms
(* (/ a (+ t (- 1.0 z))) (- z y))

series79.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
9.0ms
(/ a (+ t (- 1.0 z)))
26.0ms
(* (/ a (+ t (- 1.0 z))) (- z y))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
052511368

prune109.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes508.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01815
11815

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
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample606.0ms

Algorithm
intervals
Results
328.0ms8000×body80valid
19.0ms496×body80invalid

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