Details

Time bar (total: 5.2s)

sample84.0ms

Algorithm
intervals
Results
38.0ms749×body80nan
13.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

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: 1.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
4.0ms
(/ 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))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07221318
139171017
250011015

prune271.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1324136
Fresh000
Picked101
Done000
Total1334137

Merged error: 0b

Counts
137 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
13.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ (cbrt 1.0) (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series230.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08002223
142361926
250031924

prune686.0ms

Filtered
203 candidates to 146 candidates (71.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2030203
Fresh033
Picked011
Done000
Total2034207

Merged error: 0b

Counts
207 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.6b
(/ x (* z y))
4.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×add-log-exp
3×sqrt-prod *-commutative div-inv associate-/l* unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 106
Calls
4 calls:
7.0ms
(* 0.05555555555555555 (/ x (* z y)))
6.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ x (* z y))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

series162.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 0.05555555555555555 (/ x (* z y)))
19.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
20.0ms
(/ x (* z y))
95.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0514831
12502694
25001686

prune248.0ms

Filtered
118 candidates to 77 candidates (65.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh112
Picked011
Done011
Total1184122

Merged error: 0b

Counts
122 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 3.0)
3.6b
(/ x (* z y))
4.0b
(* (sqrt t) (/ x (* z y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
15×times-frac
13×prod-exp cbrt-unprod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp
6×associate-/l*
4×pow-prod-down associate-/r* sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 103
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
4.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 3.0)
4.0ms
(/ x (* z y))
8.0ms
(* (sqrt t) (/ x (* z y)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
18.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 3.0)
20.0ms
(/ x (* z y))
70.0ms
(* (sqrt t) (/ x (* z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0477892
12111769
25002757

prune245.0ms

Filtered
115 candidates to 78 candidates (67.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh101
Picked101
Done112
Total1172119

Merged error: 0b

Counts
119 → 2

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23660×body80nan
406.0ms8000×body80valid