Details

Time bar (total: 7.5s)

sample118.0ms

Algorithm
intervals
Results
63.0ms724×body80nan
23.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

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))))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 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:
8.0ms
(* 3.0 (/ x (* y 27.0)))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series150.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07401370
142811055
250021053

prune305.0ms

Pruning

3 alts after pruning (3 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))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 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:
18.0ms
(* (/ (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))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series219.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(* (/ (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))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08002223
142361926
250031924

prune781.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.7b
(* (sqrt t) (/ x (* z y)))
6.2b
(/ x (* z y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
62×add-cbrt-cube
45×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
22×add-sqr-sqrt
18×associate-*r*
15×add-cube-cbrt *-un-lft-identity
14×times-frac associate-*l*
13×pow1
5×pow-prod-down
4×associate-*r/ sqrt-prod div-inv add-log-exp unswap-sqr
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 134
Calls
4 calls:
32.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
22.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
75.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
71.0ms
(* (sqrt t) (/ x (* z y)))
20.0ms
(/ x (* z y))

simplify107.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08232066
142391525
250011368

prune412.0ms

Pruning

2 alts after pruning (1 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))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.7b
(* (sqrt t) (/ x (* z y)))
6.2b
(/ 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))))
10.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series269.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
73.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
66.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0501910
12286783
25001773

prune379.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes238.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.0s23430×body80nan
727.0ms8000×body80valid