Details

Time bar (total: 6.1s)

sample107.0ms

Algorithm
intervals
Results
54.0ms828×body80nan
17.0ms256×body80valid

simplify49.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.2b
(/ (* 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×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:
7.0ms
(/ 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))

series151.0ms

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))))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07321374
139331073
250021068

prune295.0ms

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

localize21.0ms

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))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

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))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series194.0ms

Counts
4 → 10
Calls
4 calls:
72.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
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
170 → 170
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07651691
141051399
250021394

prune481.0ms

Filtered
170 candidates to 114 candidates (67.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1682170
Fresh112
Picked101
Done000
Total1703173

Merged error: 0b

Counts
173 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.2b
(/ x (* z y))
3.3b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 136
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
5.0ms
(/ x (* z y))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

series191.0ms

Counts
4 → 10
Calls
4 calls:
76.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
20.0ms
(/ x (* z y))
95.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

simplify68.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05511105
12487989
25001984

prune428.0ms

Filtered
146 candidates to 113 candidates (77.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh112
Picked011
Done000
Total1463149

Merged error: 0b

Counts
149 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.2b
(/ x (* z y))
3.3b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 136
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
5.0ms
(/ x (* z y))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

series187.0ms

Counts
4 → 10
Calls
4 calls:
74.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(/ x (* z y))
93.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

simplify66.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05511112
12487996
25001991

prune474.0ms

Filtered
146 candidates to 113 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done011
Total1463149

Merged error: 0b

Counts
149 → 3

regimes105.0ms

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
02714
12714

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s23996×body80nan
528.0ms8000×body80valid