Details

Time bar (total: 6.3s)

sample80.0ms

Algorithm
intervals
Results
35.0ms731×body80nan
12.0ms256×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize14.0ms

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))

rewrite42.0ms

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:
7.0ms
(* 3.0 (/ 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))

series154.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 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))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07401370
142811055
250021053

prune305.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite51.0ms

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:
11.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series222.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(* (/ (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))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07942226
141651925
250011917

prune657.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 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))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
35×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:
6.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series269.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
68.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
70.0ms
(* (sqrt t) (/ x (* z y)))
19.0ms
(/ x (* z y))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0505909
12307769
25001763

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
91×cbrt-prod
62×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
41×add-exp-log
36×add-cbrt-cube
14×prod-exp cbrt-unprod
13×div-inv
11×pow1 cbrt-undiv div-exp associate-/l*
10×associate-/r*
9×associate-*l*
8×associate-*r*
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 → 181
Calls
4 calls:
10.0ms
(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (cbrt (cbrt 3.0)))
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series277.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (cbrt (cbrt 3.0)))
72.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
65.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify104.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08483241
136613065
250023018

prune749.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes241.0ms

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
02822
12822

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s24137×body80nan
393.0ms8000×body80valid