Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms64×body640valid
3.0ms126×body80valid
3.0ms44×body320valid
1.0ms22×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
3.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite104.0ms

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))
12.0ms
(/ 1.0 (- x 1.0))
77.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1.0 (+ x 1.0))
28.0ms
(/ 1.0 (- x 1.0))
157.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0387679
11331648
25001644

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.7b
(- (- x 1.0) (+ x 1.0))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×frac-sub
7×add-exp-log flip3-- add-cbrt-cube flip--
6×add-sqr-sqrt diff-log associate-*r/ associate-/l/ distribute-lft-out--
4×add-cube-cbrt flip3-+ times-frac associate-/r* flip-+
3×difference-of-squares
2×pow1 cbrt-undiv sub-neg div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
2 → 59
Calls
2 calls:
66.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
49.0ms
(- (- x 1.0) (+ x 1.0))

series55.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms
(- (- x 1.0) (+ x 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0446580
12623513
25001510

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
0.1b
(cbrt (pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3))
0.1b
(pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3)
2.7b
(- (- x 1.0) (+ x 1.0))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
26×cbrt-prod
20×unpow-prod-down times-frac cube-prod
18×add-sqr-sqrt
16×add-cube-cbrt add-log-exp
15×add-exp-log add-cbrt-cube
11×flip3-- flip--
10×associate-/r/
8×frac-sub
7×difference-of-squares
6×diff-log associate-*r/ associate-/l/ distribute-lft-out--
5×pow1 div-inv
4×cbrt-undiv flip3-+ div-exp associate-/r* flip-+
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult sub-neg unpow3 prod-exp associate--l+ sum-log cbrt-unprod distribute-lft-out sqr-pow
1×associate--l- pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube associate-/l* associate--r+
Counts
4 → 137
Calls
4 calls:
66.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
17.0ms
(cbrt (pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3))
49.0ms
(pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3)
48.0ms
(- (- x 1.0) (+ x 1.0))

series192.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
48.0ms
(cbrt (pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3))
90.0ms
(pow (/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0))) 3)
6.0ms
(- (- x 1.0) (+ x 1.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07051617
141651521
250021515

prune460.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3)
0.3b
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))
11.9b
(cbrt (pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
20×unpow-prod-down times-frac cube-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
10×associate-/r/
6×difference-of-squares
5×flip3-- flip-- div-inv
4×pow1 cbrt-undiv div-exp associate-/r*
3×pow-unpow pow-exp add-log-exp rem-cube-cbrt
2×cube-div cube-mult unpow3 distribute-frac-neg prod-exp distribute-rgt-neg-out cbrt-unprod sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 cube-neg clear-num rem-cbrt-cube associate-/l*
Counts
3 → 105
Calls
3 calls:
22.0ms
(pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3)
20.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))
16.0ms
(cbrt (pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3))

series193.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3)
52.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))
48.0ms
(cbrt (pow (/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0))) 3))

simplify76.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05121118
128061041
250031033

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes20.0ms

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
1176
2206
3226
4226

end0.0ms

sample483.0ms

Algorithm
intervals
Results
166.0ms1918×body640valid
109.0ms4203×body80valid
83.0ms1254×body320valid
33.0ms625×body160valid