Details

Time bar (total: 5.3s)

sample118.0ms

Algorithm
intervals
Results
47.0ms776×body80nan
16.0ms256×body80valid

simplify192.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (190.0ms)

IterNodesCost
0520719

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

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:
7.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series42.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
9.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
20.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053172022

prune179.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh000
Picked011
Done000
Total1412143

Merged error: 0b

Counts
143 → 2

localize18.0ms

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))
3.0b
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
4.4b
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

rewrite50.0ms

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:
9.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
14.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
12.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

series41.0ms

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))
19.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052342613

prune434.0ms

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

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done011
Total1792181

Merged error: 0b

Counts
181 → 2

regimes662.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03028
13028

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.4s23735×body80nan
524.0ms8000×body80valid

Profiling

Loading profile data...