Details

Time bar (total: 6.6s)

sample81.0ms

Algorithm
intervals
Results
34.0ms731×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
28.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series153.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07401370
142811055
250021053

prune313.0ms

Filtered
142 candidates to 79 candidates (55.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))
3.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite67.0ms

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:
16.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series223.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(* (/ (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))
88.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08002223
142361926
250031924

prune788.0ms

Filtered
203 candidates to 146 candidates (71.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(* (sqrt t) (/ x (* z y)))
5.9b
(/ x (* z y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
34×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×pow-prod-down sqrt-prod associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
4.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
19.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series271.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
73.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
69.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0501910
12286783
25001773

prune367.0ms

Filtered
114 candidates to 78 candidates (68.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(* (sqrt t) (/ x (* z y)))
5.9b
(/ x (* z y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×cbrt-prod
50×add-exp-log
43×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity add-cbrt-cube
17×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
13×div-inv
11×pow1
10×associate-/r*
9×associate-*l*
8×associate-*r* associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/
2×frac-2neg clear-num *-commutative unswap-sqr
1×associate-/l/
Counts
4 → 155
Calls
4 calls:
13.0ms
(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
19.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series272.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
69.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
68.0ms
(* (sqrt t) (/ x (* z y)))
20.0ms
(/ x (* z y))

simplify100.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07572663
135562379
250012319

prune632.0ms

Filtered
167 candidates to 117 candidates (70.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02925
12925

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s24137×body80nan
428.0ms8000×body80valid