Details

Time bar (total: 4.7s)

analyze856.0ms

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
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample64.0ms

Algorithm
intervals
Results
27.0ms376×body80nan
17.0ms256×body80valid

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
0520719

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: 1.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053172022

prune172.0ms

Filtered
84 candidates to 142 candidates (-69.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1402142
Fresh101
Picked011
Done000
Total1413144

Merged error: 0.0b

Counts
144 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
3.8b
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
5.0b
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
57×add-sqr-sqrt
51×times-frac
44×add-cube-cbrt *-un-lft-identity
39×prod-exp cbrt-unprod
35×associate-*r*
22×cbrt-undiv cbrt-prod div-exp
17×associate-*l*
13×pow1
6×associate-/r*
5×pow-prod-down associate-*l/ unswap-sqr
4×div-inv add-log-exp
3×associate-*r/ sqrt-prod *-commutative associate-/l*
2×frac-times
1×frac-2neg clear-num
Counts
4 → 169
Calls
4 calls:
8.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
12.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

series45.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
23.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052342613

prune414.0ms

Filtered
125 candidates to 179 candidates (-43.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1781179
Fresh101
Picked101
Done011
Total1802182

Merged error: 0b

Counts
182 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
3.8b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.9b
(/ x (* z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×associate-*r* add-cbrt-cube
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×associate-*l* pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
1×associate-*l/
Counts
4 → 128
Calls
4 calls:
8.0ms
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series43.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify63.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049911660
149911660

prune298.0ms

Filtered
106 candidates to 138 candidates (-30.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140

Merged error: 0b

Counts
140 → 2

regimes636.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02624
12624

end0.0ms

sample1.6s

Algorithm
intervals
Results
643.0ms10286×body80nan
532.0ms8000×body80valid

Profiling

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