Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
4.0ms46×body640valid
4.0ms155×body80valid
2.0ms35×body320valid
1.0ms20×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: 12.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
3.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite66.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
51.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1.0 (+ x 1.0))
27.0ms
(/ 1.0 (- x 1.0))
177.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0387679
11331648
25001644

prune190.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b
(- (- x 1.0) (+ x 1.0))

rewrite34.0ms

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:
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms
(- (- x 1.0) (+ x 1.0))

series54.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0388479
11916448
25001446

prune132.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

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)))

rewrite30.0ms

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:
23.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
47.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0438659
12023600
25001598

prune171.0ms

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))

rewrite60.0ms

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:
7.0ms
(/ (- 2.0) (+ x 1.0))
25.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- 2.0) (+ x 1.0))
72.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify122.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011053941
147333857
250013857

prune600.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes12.0ms

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
0187
1247
2317
3347
4347

end0.0ms

sample455.0ms

Algorithm
intervals
Results
158.0ms1874×body640valid
100.0ms4233×body80valid
77.0ms1254×body320valid
27.0ms639×body160valid