Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
5.0ms59×body640valid
3.0ms51×body320valid
3.0ms130×body80valid
1.0ms16×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.4b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
11.0ms
(/ 1.0 (+ x 1.0))
11.0ms
(/ 1.0 (- x 1.0))
76.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1.0 (+ x 1.0))
30.0ms
(/ 1.0 (- x 1.0))
159.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0387679
11331648
25001644

prune187.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.9b
(- (- x 1.0) (+ x 1.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-log-exp
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
6×diff-log distribute-lft-out--
5×difference-of-squares
4×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 61
Calls
2 calls:
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
47.0ms
(- (- x 1.0) (+ x 1.0))

series53.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
6.0ms
(- (- x 1.0) (+ x 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0388479
11916448
25001446

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
42.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
16.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
47.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0438659
12023600
25001598

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 2.0) (+ x 1.0))
0.1b
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
510×times-frac
449×*-un-lft-identity
307×add-sqr-sqrt
213×add-cube-cbrt
87×distribute-lft-neg-in distribute-rgt-neg-in
71×distribute-lft-out
56×associate-/l*
47×distribute-lft-out-- difference-of-squares
29×neg-mul-1
16×associate-/r/
9×add-exp-log associate-/r* add-cbrt-cube
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 370
Calls
2 calls:
14.0ms
(/ (- 2.0) (+ x 1.0))
42.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- 2.0) (+ x 1.0))
60.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011053941
147333857
250013857

prune619.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1156
2196
3226
4226

end0.0ms

sample487.0ms

Algorithm
intervals
Results
156.0ms1924×body640valid
102.0ms4224×body80valid
76.0ms1256×body320valid
28.0ms596×body160valid