Details

Time bar (total: 4.0s)

sample14.0ms

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: 21.0b

localize5.0ms

Local error

Found 1 expressions with local error:

20.5b
(/ (* (* x 2.0) y) (- x y))

rewrite30.0ms

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:
29.0ms
(/ (* (* x 2.0) y) (- x y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (* (* x 2.0) y) (- x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune53.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
10.0ms
(/ y (- x y))
33.0ms
(* (* x 2.0) (/ y (- x y)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 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

prune121.0ms

Pruning

9 alts after pruning (7 fresh and 2 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))
7.0b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite119.0ms

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:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
103.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (- x y))
137.0ms
(cbrt (- x y))
136.0ms
(cbrt (- x y))
58.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify96.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06451447
135111244
250011150

prune307.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
3.4b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
133×add-cbrt-cube
128×prod-exp cbrt-unprod
119×cbrt-prod
88×associate-*r*
82×cbrt-undiv div-exp
73×times-frac
67×add-sqr-sqrt
62×*-un-lft-identity
50×add-cube-cbrt
36×cbrt-div
18×associate-/r/
14×frac-times associate-*l*
13×flip3-- flip--
11×pow1
10×associate-*l/
8×associate-*r/
6×distribute-lft-out-- difference-of-squares
4×pow-prod-down add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 250
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
313.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
113.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt y)
166.0ms
(cbrt y)
71.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
149.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016096552
150025559

prune830.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

82% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 6.1b

bsearch78.0ms

Steps
ItersRangePoint
8
1.3263943024813382e-104
3.210038579798312e-101
3.147408210159048e-101
11
-4.298748600199863e-30
-5.28850636595529e-67
-6.819752026637394e-42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032
13032

end0.0ms

sample348.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid