Details

Time bar (total: 3.7s)

sample19.0ms

Algorithm
intervals
Results
4.0ms42×body1280valid
3.0ms141×body80valid
3.0ms32×body640valid
2.0ms28×body320valid
1.0ms13×body160valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0126
1166
2196
3216
4276
5396
6586
7796
81076
91606
102776
113036
123036

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
52×times-frac
45×add-sqr-sqrt
23×add-cube-cbrt
18×distribute-lft-out distribute-lft-out--
9×associate-/r* difference-of-squares
7×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/
3×pow1
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 104
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
11.0ms
(/ (+ x 1.0) (- x 1.0))
57.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ x (+ x 1.0))
38.0ms
(/ (+ x 1.0) (- x 1.0))
134.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0392760
11379726
25001716

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x 1.0))
0.0b
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
0.0b
(* (+ x 1.0) (+ x 1.0))
14.9b
(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
35×*-un-lft-identity
32×frac-sub
30×flip3-+ flip-+
25×add-sqr-sqrt
20×frac-times flip3-- flip--
19×add-cube-cbrt
18×associate-/l/
13×pow1
12×times-frac
10×add-exp-log associate-*l/ add-cbrt-cube
9×associate-*r*
7×associate-*l*
6×distribute-rgt-in distribute-lft-in swap-sqr distribute-lft-out add-log-exp
5×sub-neg difference-of-squares
4×associate--l+ associate-/r*
3×associate-/l*
2×pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate--r+ unswap-sqr
1×cbrt-undiv pow2 frac-2neg pow-plus diff-log div-sub div-exp clear-num pow-sqr pow-prod-up div-inv distribute-lft-out--
Counts
4 → 152
Calls
4 calls:
10.0ms
(* x (- x 1.0))
21.0ms
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
16.0ms
(* (+ x 1.0) (+ x 1.0))
9.0ms
(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (- x 1.0))
53.0ms
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
16.0ms
(* (+ x 1.0) (+ x 1.0))
42.0ms
(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

simplify140.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
07691735
144371626
250011621

prune341.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3.0 x) 1.0)
11.3b
(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×distribute-lft-neg-in distribute-rgt-neg-in
11×difference-of-squares
10×associate-/l*
5×neg-mul-1
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
2×pow1 flip3-+ associate-/r/ flip-+ associate-/l/ distribute-neg-frac
1×cbrt-undiv +-commutative neg-sub0 flip3-- frac-2neg div-sub distribute-frac-neg div-exp clear-num sum-log flip-- div-inv
Counts
2 → 83
Calls
2 calls:
3.0ms
(+ (* 3.0 x) 1.0)
17.0ms
(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* 3.0 x) 1.0)
54.0ms
(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396962
11629925
25001919

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
0.2b
(/ (- 1.0) (pow x 2))
0.2b
(/ 3.0 (pow x 3))
5.4b
(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

rewrite739.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
120×add-sqr-sqrt
105×*-un-lft-identity
78×add-cube-cbrt
48×unpow-prod-down
29×distribute-rgt-neg-in
27×distribute-lft-neg-in
20×associate-/r*
18×sqr-pow
15×difference-of-squares
14×add-exp-log
13×cube-prod associate-/l* unpow2
11×add-log-exp
10×distribute-lft-out--
9×neg-mul-1
8×add-cbrt-cube
6×div-exp
5×frac-sub
4×pow1 cube-mult diff-log unpow3
3×sub-neg flip3-- flip--
2×cbrt-undiv associate--l- neg-sub0 pow-to-exp frac-2neg div-sub pow-exp associate--l+ clear-num div-inv
1×distribute-frac-neg
Counts
4 → 234
Calls
4 calls:
83.0ms
(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
6.0ms
(/ (- 1.0) (pow x 2))
4.0ms
(/ 3.0 (pow x 3))
635.0ms
(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
31.0ms
(/ (- 1.0) (pow x 2))
35.0ms
(/ 3.0 (pow x 3))
37.0ms
(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

simplify102.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07381754
134531596
250011578

prune424.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch82.0ms

Steps
ItersRangePoint
10
6622766257468.929
3.691237388434764e+23
7926639408581.21
8
-374005510135422.8
-868571838390.8226
-3547768106768.249

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03715
14415
24415

end0.0ms

sample525.0ms

Algorithm
intervals
Results
177.0ms1710×body1280valid
107.0ms1315×body640valid
97.0ms4018×body80valid
38.0ms630×body320valid
14.0ms327×body160valid