Details

Time bar (total: 2.4s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(/ (+ x y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify41.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune81.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
24.0ms
(/ 1 (/ (- x y) (+ x y)))
23.0ms
(/ (- x y) (+ x y))

series123.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ 1 (/ (- x y) (+ x y)))
60.0ms
(/ (- x y) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04951481
122241328
250011183

prune191.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (+ x y))))
0.0b
(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
0.0b
(/ (- x y) (+ x y))
0.4b
(expm1 (/ (- x y) (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
33×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
10×add-exp-log
8×add-cbrt-cube associate-/l*
7×associate-/r*
6×distribute-lft-out
5×pow1 log1p-expm1-u distribute-lft-out-- difference-of-squares
4×expm1-log1p-u add-log-exp
3×div-exp
2×cbrt-undiv frac-2neg clear-num associate-/r/ div-inv associate-/l/
1×rec-exp log1p-udef expm1-log1p flip3-- pow-flip flip3-+ 1-exp div-sub log1p-expm1 flip-- flip-+ inv-pow expm1-udef
Counts
4 → 103
Calls
4 calls:
0.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
5.0ms
(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
25.0ms
(/ (- x y) (+ x y))
0.0ms
(expm1 (/ (- x y) (+ x y)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
109.0ms
(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
66.0ms
(/ (- x y) (+ x y))
91.0ms
(expm1 (/ (- x y) (+ x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0287728
1849620
22789597
35001590

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(pow (/ (+ x y) (- x y)) 3)
0.0b
(/ (+ x y) (- x y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 191
Calls
3 calls:
20.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
21.0ms
(pow (/ (+ x y) (- x y)) 3)
26.0ms
(/ (+ x y) (- x y))

series217.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
72.0ms
(pow (/ (+ x y) (- x y)) 3)
61.0ms
(/ (+ x y) (- x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04931433
121481337
250011319

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
0126
1126

end0.0ms

sample310.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid