Details

Time bar (total: 3.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
10.0ms
(/ (+ x y) (- x y))

series61.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune82.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series773.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt (+ x y))
146.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))
152.0ms
(cbrt (- x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0228432
1564411
21844400
35001385

prune251.0ms

Filtered
79 candidates to 71 candidates (89.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done011
Total79483

Merged error: 0b

Counts
83 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (/ 1 (- x y)) (+ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
51×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
22×frac-times
21×associate-*l*
20×associate-/r*
15×add-exp-log
12×flip3-+ flip-+ associate-/l*
11×associate-*l/
10×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
5×pow1
4×frac-2neg div-exp associate-*r* prod-exp clear-num associate-/r/
3×unswap-sqr
2×cbrt-undiv +-commutative distribute-rgt-in expm1-log1p-u rec-exp flip3-- distribute-lft-in 1-exp associate-*r/ flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip pow-prod-down *-commutative distribute-lft-out inv-pow
Counts
2 → 127
Calls
2 calls:
5.0ms
(/ 1 (- x y))
14.0ms
(* (/ 1 (- x y)) (+ x y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1 (- x y))
60.0ms
(* (/ 1 (- x y)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0626748
13136668
25001617

prune174.0ms

Filtered
133 candidates to 77 candidates (57.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1321133
Fresh101
Picked011
Done022
Total1334137

Merged error: 0b

Counts
137 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 1 (- x y)))
0.1b
(sqrt (/ 1 (- x y)))
0.1b
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
0.3b
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
1078×sqrt-div
770×frac-times
740×add-sqr-sqrt
634×*-un-lft-identity
490×associate-/r*
326×sqrt-prod
308×add-cube-cbrt
294×associate-/l*
230×times-frac
187×associate-*l/
151×associate-*l*
144×flip3-+ flip-+
140×distribute-lft-out--
128×difference-of-squares
98×frac-2neg clear-num
74×swap-sqr
73×unswap-sqr
52×associate-*r*
46×associate-*r/
36×pow1
30×sqrt-pow1
20×associate-/r/
14×div-inv
11×add-exp-log add-cbrt-cube
10×flip3-- pow-flip pow1/2 flip-- inv-pow
9×pow-prod-up
8×pow-prod-down
6×rem-sqrt-square
5×pow-sqr
4×expm1-log1p-u prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
2×+-commutative distribute-rgt-in distribute-lft-in
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 955
Calls
4 calls:
7.0ms
(sqrt (/ 1 (- x y)))
7.0ms
(sqrt (/ 1 (- x y)))
67.0ms
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
30.0ms
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

series245.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (/ 1 (- x y)))
71.0ms
(sqrt (/ 1 (- x y)))
65.0ms
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
34.0ms
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

simplify155.0ms

Algorithm
egg-herbie
Counts
967 → 967
Iterations

Useful iterations: 1 (52.0ms)

IterNodesCost
0368310579
150029165

prune1.2s

Filtered
967 candidates to 374 candidates (38.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New9670967
Fresh000
Picked011
Done033
Total9674971

Merged error: 0b

Counts
971 → 4

regimes45.0ms

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
063
163

end0.0ms

sample263.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid