Details

Time bar (total: 5.4s)

sample89.0ms

Algorithm
intervals
Results
40.0ms743×body80nan
14.0ms256×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

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))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite47.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 138
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series193.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
117.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify136.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
07501428
142971113
250011108

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite58.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
12.0ms
(* (/ (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))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series290.0ms

Counts
4 → 10
Calls
4 calls:
138.0ms
(* (/ (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))
118.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08102285
142521988
250021983

prune858.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.4b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.4b
(/ x (* z y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod *-commutative div-inv associate-/l* unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 114
Calls
4 calls:
7.0ms
(* 0.05555555555555555 (/ x (* z y)))
6.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

series172.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.05555555555555555 (/ x (* z y)))
17.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
102.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
22.0ms
(/ x (* z y))

simplify71.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0524875
12518738
25001728

prune298.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes231.0ms

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
03020
13020

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23637×body80nan
406.0ms8000×body80valid