Details

Time bar (total: 3.3s)

sample27.0ms

Algorithm
intervals
Results
7.0ms50×body1280valid
6.0ms134×body80valid
5.0ms39×body640valid
2.0ms23×body320valid
1.0ms10×body160valid

simplify20.0ms

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: 28.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- x 1.0))
0.0b
(/ x (+ x 1.0))
2.5b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite77.0ms

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:
11.0ms
(/ (+ x 1.0) (- x 1.0))
5.0ms
(/ x (+ x 1.0))
57.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (+ x 1.0) (- x 1.0))
33.0ms
(/ x (+ x 1.0))
132.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0392760
11379726
25002716

prune406.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x 1.0))
0.0b
(/ x (+ x 1.0))
0.1b
(* (+ x 1.0) (/ 1 (- x 1.0)))
7.6b
(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
54×add-sqr-sqrt
44×times-frac
33×add-cube-cbrt
21×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×associate-/r*
7×pow1 distribute-lft-out-- difference-of-squares
6×associate-/r/ frac-sub associate-/l* add-log-exp
5×flip3-+ div-exp flip-+ distribute-lft-out
4×frac-times associate-*l* associate-*l/ prod-exp
3×cbrt-undiv flip3-- flip-- div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num un-div-inv cbrt-unprod
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 141
Calls
4 calls:
5.0ms
(/ 1 (- x 1.0))
5.0ms
(/ x (+ x 1.0))
25.0ms
(* (+ x 1.0) (/ 1 (- x 1.0)))
29.0ms
(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (- x 1.0))
33.0ms
(/ x (+ x 1.0))
40.0ms
(* (+ x 1.0) (/ 1 (- x 1.0)))
127.0ms
(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

simplify77.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0576950
12837862
25001820

prune243.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x 1.0))
0.0b
(* (+ x 1.0) (+ x 1.0))
0.0b
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
17.0b
(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

rewrite65.0ms

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:
9.0ms
(* x (- x 1.0))
16.0ms
(* (+ x 1.0) (+ x 1.0))
20.0ms
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
11.0ms
(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (- x 1.0))
19.0ms
(* (+ x 1.0) (+ x 1.0))
48.0ms
(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 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 (123.0ms)

IterNodesCost
07691735
144371626
250011621

prune347.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3.0 x) 1.0)
13.9b
(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite23.0ms

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)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3.0 x) 1.0)
48.0ms
(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0396962
11629925
25001919

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1277
2277

end0.0ms

sample799.0ms

Algorithm
intervals
Results
264.0ms1693×body1280valid
196.0ms4142×body80valid
154.0ms1231×body640valid
61.0ms627×body320valid
24.0ms307×body160valid