Details

Time bar (total: 7.8s)

sample120.0ms

Algorithm
intervals
Results
65.0ms765×body80nan
23.0ms256×body80valid

simplify50.0ms

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: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite61.0ms

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))))
31.0ms
(* (/ (* 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:
18.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 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))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07401370
142811055
250021053

prune297.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite68.0ms

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))))
6.0ms
(/ (cbrt 1.0) (cbrt 3.0))
28.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series233.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ (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))
94.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08002223
142361926
250031924

prune756.0ms

Pruning

2 alts after pruning (2 fresh and 0 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 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(/ x (* z y))
4.1b
(* (sqrt t) (/ x (* z y)))

rewrite40.0ms

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

series268.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
73.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
20.0ms
(/ x (* z y))
70.0ms
(* (sqrt t) (/ x (* z y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0501910
12286783
25001773

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ (cbrt 1.0) (cbrt (cbrt 3.0))))
1.0b
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
3.4b
(/ x (* z y))
4.1b
(* (sqrt t) (/ x (* z y)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
192×cbrt-prod
136×times-frac
134×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
65×associate-*r*
41×add-exp-log
29×add-cbrt-cube
16×unswap-sqr
13×associate-*l* prod-exp cbrt-unprod
12×cbrt-undiv div-exp
10×associate-/r*
9×associate-/l*
8×pow1
5×div-inv
4×sqrt-prod add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 236
Calls
4 calls:
42.0ms
(* (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ (cbrt 1.0) (cbrt (cbrt 3.0))))
5.0ms
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
3.0ms
(/ x (* z y))
11.0ms
(* (sqrt t) (/ x (* z y)))

series207.0ms

Counts
4 → 10
Calls
4 calls:
114.0ms
(* (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ (cbrt 1.0) (cbrt (cbrt 3.0))))
0.0ms
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
20.0ms
(/ x (* z y))
73.0ms
(* (sqrt t) (/ x (* z y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010103476
150013220

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02925
12925

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.9s24057×body80nan
697.0ms8000×body80valid