Details

Time bar (total: 3.0s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
23×times-frac
20×add-sqr-sqrt
12×add-cube-cbrt
7×distribute-lft-out
6×distribute-lft-out--
5×associate-/r*
4×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms
(/ 1.0 (- x 1.0))

series151.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))

simplify166.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0283365
1983346
24438342
35002342

prune107.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.2b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×times-frac
23×*-un-lft-identity
21×add-cube-cbrt
18×associate-*l*
10×add-exp-log add-cbrt-cube
7×difference-of-squares
5×pow1 flip3-+ frac-add flip-+ add-log-exp
4×frac-times associate-*r/ associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in associate-+l+ flip3-- distribute-lft-in div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative distribute-lft-out
Counts
3 → 95
Calls
3 calls:
15.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
8.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series259.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
52.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
43.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0703970
13553902
25001900

prune237.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0))))) (/ x (+ x 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.3b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×times-frac
36×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
11×difference-of-squares
9×add-log-exp
8×associate-/r*
6×pow1 associate-/r/ associate-/l*
4×frac-add
3×cbrt-undiv flip3-- div-exp associate-*r* sum-log flip-- div-inv
2×frac-2neg flip3-+ associate-*l/ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×+-commutative associate-+l+ associate-*r/ pow-prod-down *-commutative distribute-lft-out
Counts
4 → 120
Calls
4 calls:
19.0ms
(+ (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0))))) (/ x (+ x 1.0)))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

series343.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(+ (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0))))) (/ x (+ x 1.0)))
52.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
46.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
77.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05891321
126201217
250021193

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (+ (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0)))) (/ x (+ x 1.0))))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.3b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
18×associate-*l*
13×add-exp-log add-cbrt-cube
11×difference-of-squares
9×add-log-exp
8×associate-/r*
6×pow1 associate-/r/ associate-/l*
4×associate-*l/ frac-add
3×cbrt-undiv flip3-- div-exp associate-*r* sum-log flip-- div-inv
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×+-commutative associate-+r+ associate-*r/ pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
20.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (+ (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0)))) (/ x (+ x 1.0))))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

series346.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) x) (+ (* 1.0 (/ 1.0 (- (* x x) (* 1.0 1.0)))) (/ x (+ x 1.0))))
53.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
55.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
70.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06011282
128321168
250021149

prune330.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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
01714
11714

end0.0ms

sample264.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid