Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize6.0ms

Local error

Found 1 expressions with local error:

16.5b
(/ (* (* 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))

simplify32.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (/ y (- x y)))

rewrite26.0ms

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)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- x y))
58.0ms
(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0310435
11657385
25001385

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
9×pow1 cbrt-prod
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
6×flip3-- flip--
4×frac-times add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
42.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
180.0ms
(cbrt y)
177.0ms
(cbrt y)
278.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0492817
12497611
25002571

prune218.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
39×cbrt-div
24×associate-/r/
18×flip3-- flip--
12×frac-times
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×times-frac div-inv
Counts
4 → 77
Calls
4 calls:
0.0ms
(cbrt y)
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
15.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt y)
291.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
276.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
283.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
02021182
14361113
212621102
350021102

prune349.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

42.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732
12732

end0.0ms

sample471.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid