Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify17.0ms

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: 13.3b

localize6.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ (* (* 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 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* (* x 2.0) y) (- x y))

simplify35.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune62.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
4.5b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ y (- x y))
19.0ms
(* (* x 2.0) (/ y (- x y)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0315451
11665401
25001401

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (/ y (- x y)))
0.0b
(/ y (- x y))
0.0b
(log1p (expm1 (/ y (- x y))))
4.5b
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
5×associate-/r* log1p-expm1-u
4×expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg log1p-expm1 div-exp associate-*l* clear-num *-commutative flip-- div-inv expm1-udef
Counts
4 → 81
Calls
4 calls:
0.0ms
(expm1 (/ y (- x y)))
5.0ms
(/ y (- x y))
0.0ms
(log1p (expm1 (/ y (- x y))))
6.0ms
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(expm1 (/ y (- x y)))
46.0ms
(/ y (- x y))
95.0ms
(log1p (expm1 (/ y (- x y))))
98.0ms
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0246444
1974378
24815378
35001378

prune197.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
4.5b
(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
8.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
65.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392620
11920563
25001562

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

94.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.2b

bsearch51.0ms

Steps
ItersRangePoint
5
1.587125102721339e-63
3.8711664387940085e-63
3.6268085031482395e-63
8
-2.8842780556144676e+69
-1.0929352752278947e+66
-1.1116518480520122e+66

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample464.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid