Details

Time bar (total: 3.0s)

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

prune2.0ms

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))

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (- x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.5b
(expm1 (/ (+ x y) (- x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
11.0ms
(/ (+ x y) (- x y))
0.0ms
(expm1 (/ (+ x y) (- x y)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
62.0ms
(/ (+ x y) (- x y))
87.0ms
(expm1 (/ (+ x y) (- x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (cbrt (pow (/ (+ x y) (- x y)) 3))))
0.0b
(pow (/ (+ x y) (- x y)) 3)
0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.5b
(expm1 (cbrt (pow (/ (+ x y) (- x y)) 3)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
80×times-frac
78×add-sqr-sqrt
58×cbrt-prod
52×unpow-prod-down cube-prod
46×add-cube-cbrt
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
8×associate-/r/
7×add-exp-log add-cbrt-cube
5×pow1 log1p-expm1-u
4×expm1-log1p-u flip3-- flip-- div-inv add-log-exp
3×pow-unpow
2×cube-div cube-mult unpow3 pow-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div log1p-udef expm1-log1p pow-pow pow1/3 log1p-expm1 div-exp rem-cbrt-cube expm1-udef
Counts
4 → 166
Calls
4 calls:
0.0ms
(log1p (expm1 (cbrt (pow (/ (+ x y) (- x y)) 3))))
11.0ms
(pow (/ (+ x y) (- x y)) 3)
13.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0ms
(expm1 (cbrt (pow (/ (+ x y) (- x y)) 3)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(log1p (expm1 (cbrt (pow (/ (+ x y) (- x y)) 3))))
71.0ms
(pow (/ (+ x y) (- x y)) 3)
87.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
228.0ms
(expm1 (cbrt (pow (/ (+ x y) (- x y)) 3)))

simplify60.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04671308
119101196
250011172

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
22.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series545.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
144.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))
140.0ms
(cbrt (- x y))

simplify157.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
0270790
1950753
24639700
35001694

prune274.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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

sample281.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid