Details

Time bar (total: 5.8s)

sample86.0ms

Algorithm
intervals
Results
34.0ms721×body80nan
17.0ms256×body80valid

simplify58.0ms

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: 1.5b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 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))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite45.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
9.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
107.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
07321374
139331073
250021068

prune328.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1413144
Fresh000
Picked101
Done000
Total1423145

Merged error: 0.0b

Counts
145 → 3

localize27.0ms

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))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

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))

series214.0ms

Counts
4 → 10
Calls
4 calls:
84.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07651691
141051399
250021394

prune507.0ms

Filtered
170 candidates to 114 candidates (67.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1700170
Fresh022
Picked011
Done000
Total1703173

Merged error: 0.0b

Counts
173 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.8b
(* (sqrt t) (/ x (* z y)))
7.0b
(/ x (* z y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 101
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
10.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series192.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
74.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
75.0ms
(* (sqrt t) (/ x (* z y)))
27.0ms
(/ x (* z y))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0458777
12087654
25002642

prune239.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1112113
Fresh101
Picked011
Done011
Total1124116

Merged error: 0b

Counts
116 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
3.8b
(* (sqrt t) (/ x (* z y)))
7.0b
(/ x (* z y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 97
Calls
4 calls:
14.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
9.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series465.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
74.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
291.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify59.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0420723
11937607
25002589

prune271.0ms

Filtered
109 candidates to 76 candidates (69.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done022
Total1094113

Merged error: 0b

Counts
113 → 4

regimes307.0ms

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
03116
13116

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23643×body80nan
420.0ms8000×body80valid