Details

Time bar (total: 2.0s)

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

sample30.0ms

Algorithm
intervals
Results
6.0ms63×body640valid
4.0ms48×body320valid
3.0ms120×body80valid
1.0ms25×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
064911
164911

prune4.0ms

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: 17.8b

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))
17.8b
(- (/ 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 → 101
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)))

series11.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049051239
149051239

prune138.0ms

Filtered
80 candidates to 110 candidates (-37.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done000
Total1092111

Merged error: 0.6b

Counts
111 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.6b
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
8.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series7.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05013580

prune69.0ms

Filtered
34 candidates to 45 candidates (-32.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh101
Picked011
Done000
Total42547

Merged error: 0.0b

Counts
47 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt times-frac
13×add-cube-cbrt
9×associate-/r*
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
2×pow1 frac-2neg clear-num div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-- flip3-+ associate-*l/ flip-- flip-+ associate-/l/
Counts
2 → 67
Calls
2 calls:
5.0ms
(/ 1.0 (+ 1.0 x))
12.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ 1.0 x))
4.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05200858

prune94.0ms

Filtered
49 candidates to 73 candidates (-49.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh123
Picked011
Done011
Total72678

Merged error: 0b

Counts
78 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.3b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.7b
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
38×cbrt-prod
36×add-sqr-sqrt
34×*-un-lft-identity
32×frac-times
26×flip3-- associate-/r/ flip--
16×add-cube-cbrt associate-*r/
15×add-exp-log
11×pow1 add-cbrt-cube
10×swap-sqr associate-*l/
9×flip3-+ flip-+
8×pow1/3 associate-*r* associate-*l* distribute-lft-out--
6×difference-of-squares
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv times-frac div-exp associate-/l*
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* *-commutative div-inv
Counts
4 → 135
Calls
4 calls:
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
11.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
17.0ms
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- x 1.0))
7.0ms
(cbrt (- x 1.0))
9.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
21.0ms
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049662077
149662077

prune320.0ms

Filtered
105 candidates to 147 candidates (-40.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh033
Picked011
Done022
Total1476153

Merged error: 0b

Counts
153 → 6

regimes37.0ms

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 (1.0ms)

IterNodesCost
02213
12213

end0.0ms

sample787.0ms

Algorithm
intervals
Results
191.0ms1910×body640valid
105.0ms4137×body80valid
95.0ms1300×body320valid
32.0ms653×body160valid

Profiling

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