Details

Time bar (total: 3.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize10.0ms

Local error

Found 1 expressions with local error:

11.7b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
7.4b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
43×add-sqr-sqrt
35×*-un-lft-identity
32×add-cbrt-cube
31×cbrt-prod
30×associate-*r*
27×times-frac
23×add-cube-cbrt
20×cbrt-div
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*l*
10×flip3-- associate-/r/ flip--
6×pow1 distribute-lft-out-- difference-of-squares
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/ unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
61.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- x y))
141.0ms
(cbrt (- x y))
145.0ms
(cbrt (- x y))
65.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify100.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06451447
135111244
250011150

prune322.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
7.9b
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
27×add-cbrt-cube
21×prod-exp cbrt-unprod
12×cbrt-div
10×cbrt-undiv div-exp
9×cbrt-prod
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×flip3-- flip--
4×pow1 frac-times add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
22.0ms
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

series813.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
173.0ms
(cbrt y)
185.0ms
(cbrt y)
282.0ms
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0457776
12307580
25002541

prune214.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
10.0b
(* (* x 2.0) (/ y (- x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0310435
11657385
25001385

prune119.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

90.2% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03137
13137

end0.0ms

sample295.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid