Details

Time bar (total: 5.6s)

sample85.0ms

Algorithm
intervals
Results
39.0ms759×body80nan
13.0ms256×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: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite57.0ms

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:
3.0ms
(/ x (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 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))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07221318
139171017
250011015

prune300.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 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))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite74.0ms

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:
22.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series224.0ms

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))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07942226
141651925
250011917

prune670.0ms

Filtered
203 candidates to 126 candidates (62.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.2b
(* (sqrt t) (/ x (* z y)))
6.0b
(/ x (* z y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
56×add-cbrt-cube
28×prod-exp cbrt-unprod
27×add-sqr-sqrt
20×times-frac
19×associate-*l*
18×cbrt-undiv div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
13×pow1
8×sqrt-prod
5×pow-prod-down unswap-sqr
4×associate-*r/ div-inv add-log-exp
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 128
Calls
4 calls:
29.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
23.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series372.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
76.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
73.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07521696
137381345
250011233

prune411.0ms

Filtered
140 candidates to 87 candidates (62.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes433.0ms

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
02516
12516

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23780×body80nan
411.0ms8000×body80valid