Details

Time bar (total: 5.3s)

sample98.0ms

Algorithm
intervals
Results
45.0ms881×body80nan
13.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Filtered
1 candidates to 0 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 → 1

localize20.0ms

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))))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite44.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 138
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))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series182.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify122.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07501428
142971113
250011108

prune381.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1482150
Fresh000
Picked101
Done000
Total1492151

Merged error: 0b

Counts
151 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series223.0ms

Counts
4 → 10
Calls
4 calls:
82.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
110.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07651691
141051399
250021394

prune610.0ms

Filtered
170 candidates to 114 candidates (67.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1700170
Fresh011
Picked011
Done000
Total1702172

Merged error: 0b

Counts
172 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))))
3.6b
(* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))
8.0b
(/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
192×add-exp-log
120×add-cbrt-cube
107×prod-exp
59×cbrt-unprod
55×div-exp
31×cbrt-undiv
29×add-sqr-sqrt
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×1-exp associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×associate-*r/ pow-prod-down *-commutative
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 162
Calls
4 calls:
8.0ms
(* 3.0 (/ x (* y 27.0)))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))))
16.0ms
(* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))
13.0ms
(/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0))

series185.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))))
108.0ms
(* (/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 1 (* 3.0 (/ x (* y 27.0)))) (* z 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
09121757
150011402

prune369.0ms

Filtered
174 candidates to 89 candidates (51.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done011
Total1742176

Merged error: 0b

Counts
176 → 2

regimes242.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s23941×body80nan
431.0ms8000×body80valid