Details

Time bar (total: 3.0s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
14.0ms
(/ (+ x y) (+ y 1.0))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (+ x y) (+ y 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0197262
1620246
21970245
35001245

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
21.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
2.0ms
(cbrt (+ y 1.0))
2.0ms
(cbrt (+ y 1.0))
2.0ms
(cbrt (+ y 1.0))

series366.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
86.0ms
(cbrt (+ y 1.0))
87.0ms
(cbrt (+ y 1.0))
85.0ms
(cbrt (+ y 1.0))

simplify152.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0315818
11058774
24784715
35001712

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
0.4b
(cbrt (/ (+ x y) (+ y 1.0)))
0.4b
(cbrt (/ (+ x y) (+ y 1.0)))
0.4b
(cbrt (/ (+ x y) (+ y 1.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 226
Calls
4 calls:
58.0ms
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
5.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
5.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
5.0ms
(cbrt (/ (+ x y) (+ y 1.0)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0))))
108.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
109.0ms
(cbrt (/ (+ x y) (+ y 1.0)))
113.0ms
(cbrt (/ (+ x y) (+ y 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04872921
115452854
250012652

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.7b
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
41×add-sqr-sqrt
34×add-cube-cbrt
33×times-frac
22×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×difference-of-squares
9×add-exp-log add-cbrt-cube distribute-lft-out
5×associate-*r*
4×pow1 flip3-- associate-/r* associate-/r/ flip-- associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num *-commutative flip-+ distribute-lft-out--
Counts
2 → 113
Calls
2 calls:
34.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
12.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
79.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05791336
129611135
250011119

prune195.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample270.0ms

Algorithm
intervals
Results
142.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body160valid