Details

Time bar (total: 5.7s)

sample90.0ms

Algorithm
intervals
Results
37.0ms789×body80nan
17.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

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))))
3.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite65.0ms

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:
9.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
33.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series183.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07501428
142971113
250011108

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b
(* (sqrt t) (/ x (* z y)))
3.5b
(/ x (* z y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 101
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
20.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series204.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
82.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
81.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify69.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0458777
12087654
25002642

prune282.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b
(* (sqrt t) (/ x (* z y)))
3.5b
(/ x (* z y))
4.6b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 97
Calls
4 calls:
19.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))
2.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
80.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))
88.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0420723
11937607
25001589

prune331.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (sqrt t) (/ x (* z y)))
3.0b
(* (sqrt t) (/ x (* z y)))
3.5b
(/ x (* z y))
3.5b
(/ x (* z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×times-frac associate-*l*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp sqrt-prod
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 112
Calls
4 calls:
11.0ms
(* (sqrt t) (/ x (* z y)))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))
3.0ms
(/ x (* z y))

series204.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (sqrt t) (/ x (* z y)))
75.0ms
(* (sqrt t) (/ x (* z y)))
27.0ms
(/ x (* z y))
23.0ms
(/ x (* z y))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0324660
11484568
25001556

prune458.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes300.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s24104×body80nan
411.0ms8000×body80valid