Details

Time bar (total: 5.1s)

sample87.0ms

Algorithm
intervals
Results
39.0ms765×body80nan
13.0ms256×body80valid

simplify54.0ms

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: 1.0b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

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))
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))

series168.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
100.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07321374
139331073
250021068

prune317.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1422144
Fresh000
Picked101
Done000
Total1432145

Merged error: 0b

Counts
145 → 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))
1.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 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))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series225.0ms

Counts
4 → 10
Calls
4 calls:
89.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
07651691
141051399
250021394

prune497.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
1.8b
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
4.2b
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log add-cbrt-cube
32×prod-exp cbrt-unprod
21×add-sqr-sqrt
19×cbrt-undiv div-exp
16×add-cube-cbrt *-un-lft-identity
14×times-frac associate-*l*
11×pow1
9×associate-*r*
4×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
3×associate-*l/ sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
1×associate-/l/
Counts
4 → 121
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
10.0ms
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
13.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

series217.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
78.0ms
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
97.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07791266
142971001
25001993

prune286.0ms

Filtered
133 candidates to 82 candidates (61.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done011
Total1332135

Merged error: 0b

Counts
135 → 2

regimes232.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s24318×body80nan
419.0ms8000×body80valid