Details

Time bar (total: 1.3s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample21.0ms

Algorithm
intervals
Results
6.0ms58×body640valid
4.0ms139×body80valid
4.0ms42×body320valid
1.0ms17×body160valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
064911
164911

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
43×times-frac
40×add-sqr-sqrt
25×distribute-lft-out--
20×add-cube-cbrt
8×difference-of-squares
6×distribute-lft-out
5×associate-/r*
4×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
3×flip-- div-inv associate-/l*
2×pow1 flip3--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ 1.0 (- x 1.0))
22.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (- x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05752917

prune90.0ms

Filtered
53 candidates to 74 candidates (-39.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh000
Picked011
Done000
Total73275

Merged error: 0.4b

Counts
75 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp prod-exp cbrt-unprod
2×associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
8.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

simplify31.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05043445

prune46.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done101
Total28432

Merged error: 0.0b

Counts
32 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
7×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
6×prod-exp cbrt-unprod
5×times-frac associate-/r*
3×add-cube-cbrt
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg associate-*l/ clear-num flip-- div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 34
Calls
1 calls:
12.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05452535

prune39.0ms

Filtered
23 candidates to 37 candidates (-60.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh022
Picked011
Done011
Total37441

Merged error: 0.0b

Counts
41 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -2 (- x 1.0))
0.1b
(* (/ 1.0 (+ 1.0 x)) (/ -2 (- x 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
49×*-un-lft-identity
46×times-frac
29×add-cube-cbrt
21×associate-*r*
18×associate-*l*
16×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 100
Calls
2 calls:
5.0ms
(/ -2 (- x 1.0))
19.0ms
(* (/ 1.0 (+ 1.0 x)) (/ -2 (- x 1.0)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ -2 (- x 1.0))
5.0ms
(* (/ 1.0 (+ 1.0 x)) (/ -2 (- x 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
056291239

prune142.0ms

Filtered
79 candidates to 106 candidates (-34.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh011
Picked101
Done022
Total1064110

Merged error: 0.0b

Counts
110 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12213

end0.0ms

sample597.0ms

Algorithm
intervals
Results
223.0ms1928×body640valid
134.0ms4249×body80valid
110.0ms1240×body320valid
34.0ms583×body160valid

Profiling

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