Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×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: 13.4b

localize6.0ms

Local error

Found 1 expressions with local error:

13.1b
(/ (* (* x 2.0) y) (- x y))

rewrite10.0ms

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:
9.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

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

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.2b
(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

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:
6.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x y) y)
64.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0392620
11920563
25001562

prune186.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
7.2b
(* (/ (* x 2.0) (- x y)) y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×associate-*l*
10×times-frac
7×add-cube-cbrt
5×prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*r* distribute-lft-out-- difference-of-squares
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 62
Calls
2 calls:
7.0ms
(/ (* x 2.0) (- x y))
9.0ms
(* (/ (* x 2.0) (- x y)) y)

series114.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* x 2.0) (- x y))
64.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0268331
11326279
25001279

prune107.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x y) 1)
0.1b
(pow (- (/ x y) 1) 3)
7.2b
(/ (* x 2.0) (cbrt (pow (- (/ x y) 1) 3)))
11.3b
(cbrt (pow (- (/ x y) 1) 3))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
95×*-un-lft-identity
92×times-frac
78×cbrt-prod
59×add-cube-cbrt
40×unpow-prod-down cube-prod
39×prod-diff
36×difference-of-squares
29×associate-/r*
18×difference-of-sqr-1
13×add-exp-log fma-neg
9×distribute-lft-out--
8×add-cbrt-cube
6×cube-div add-log-exp
5×pow1 div-inv
4×expm1-log1p-u cube-mult cbrt-div flip3-- unpow3 flip-- log1p-expm1-u sqr-pow
3×pow-unpow div-exp
2×cbrt-undiv expm1-def associate-/r/
1×pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log pow-exp prod-exp clear-num rem-cbrt-cube cbrt-unprod associate-/l* rem-cube-cbrt
Counts
4 → 232
Calls
4 calls:
9.0ms
(- (/ x y) 1)
9.0ms
(pow (- (/ x y) 1) 3)
16.0ms
(/ (* x 2.0) (cbrt (pow (- (/ x y) 1) 3)))
9.0ms
(cbrt (pow (- (/ x y) 1) 3))

series121.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- (/ x y) 1)
30.0ms
(pow (- (/ x y) 1) 3)
57.0ms
(/ (* x 2.0) (cbrt (pow (- (/ x y) 1) 3)))
20.0ms
(cbrt (pow (- (/ x y) 1) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05961579
125731442
250011387

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

79.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.2b

bsearch66.0ms

Steps
ItersRangePoint
8
1.3398345077853787e+89
3.198474758443883e+93
2.1955332737182344e+93
8
-1.0549532193288909e+140
-4.690523009697546e+136
-5.576363061111535e+137

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample317.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid