Details

Time bar (total: 5.6s)

sample107.0ms

Algorithm
intervals
Results
45.0ms779×body80nan
17.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize18.0ms

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))))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

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))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series161.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07221318
139171017
250011015

prune301.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×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:
18.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
22.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
15.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series246.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07942226
141651925
250011917

prune659.0ms

Filtered
203 candidates to 126 candidates (62.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.7b
(/ x (* y 27.0))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
38×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
18×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
8×pow1 times-frac associate-*l*
4×sqrt-prod div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 119
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
4.0ms
(/ x (* y 27.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series162.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(/ x (* y 27.0))
94.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0610993
13644727
25001725

prune365.0ms

Filtered
131 candidates to 70 candidates (53.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* z 2.0) (* y 27.0))
1.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
7.6b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
109×add-exp-log add-cbrt-cube
61×prod-exp cbrt-unprod
20×cbrt-undiv div-exp
17×pow1
10×add-sqr-sqrt
9×pow-prod-down
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×sqrt-prod
3×add-log-exp
2×times-frac *-commutative div-inv unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/l*
Counts
3 → 100
Calls
3 calls:
6.0ms
(* (* z 2.0) (* y 27.0))
14.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
10.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (* z 2.0) (* y 27.0))
99.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
30.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0583990
13829686
25002684

prune231.0ms

Filtered
109 candidates to 44 candidates (40.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes235.0ms

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
02918
12918

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23830×body80nan
398.0ms8000×body80valid