Details

Time bar (total: 1.6s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample20.0ms

Algorithm
intervals
Results
6.0ms62×body640valid
4.0ms129×body80valid
3.0ms40×body320valid
1.0ms25×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite41.0ms

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))
26.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(- (/ 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
25001642

prune161.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1092111
Fresh000
Picked101
Done000
Total1102112

Merged error: 0.4b

Counts
112 → 2

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)))
2.4b
(- (- x 1.0) (+ x 1.0))

rewrite27.0ms

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:
15.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms
(- (- x 1.0) (+ x 1.0))

series5.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.0ms
(- (- x 1.0) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446580
12623513
25001510

prune89.0ms

Filtered
47 candidates to 65 candidates (-38.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh101
Picked101
Done000
Total64367

Merged error: 0.4b

Counts
67 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
7.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

simplify33.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0242257
11216215
25001211

prune48.0ms

Filtered
23 candidates to 29 candidates (-26.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh202
Picked011
Done000
Total28432

Merged error: 0.0b

Counts
32 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (neg 2.0) (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
0.1b
(* (/ 1.0 (+ x 1.0)) (/ (neg 2.0) (- x 1.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
129×add-sqr-sqrt
128×times-frac
75×add-cube-cbrt
56×associate-*r*
33×distribute-lft-neg-in distribute-rgt-neg-in
21×distribute-lft-out-- difference-of-squares
19×add-exp-log add-cbrt-cube
18×associate-*l*
13×associate-/l*
11×neg-mul-1
9×associate-/r*
8×associate-/r/
7×distribute-lft-out
6×cbrt-undiv div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg flip3-+ distribute-frac-neg clear-num flip-- flip-+
1×neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out
Counts
3 → 213
Calls
3 calls:
7.0ms
(/ (neg 2.0) (- x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))
35.0ms
(* (/ 1.0 (+ x 1.0)) (/ (neg 2.0) (- x 1.0)))

series9.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ (neg 2.0) (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(* (/ 1.0 (+ x 1.0)) (/ (neg 2.0) (- x 1.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08401563
142161468
250021468

prune291.0ms

Filtered
151 candidates to 222 candidates (-47.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2211222
Fresh022
Picked011
Done011
Total2215226

Merged error: 0b

Counts
226 → 5

regimes36.0ms

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

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample547.0ms

Algorithm
intervals
Results
200.0ms1848×body640valid
124.0ms4265×body80valid
98.0ms1255×body320valid
33.0ms632×body160valid

Profiling

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