Details

Time bar (total: 1.9s)

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

sample20.0ms

Algorithm
intervals
Results
7.0ms69×body640valid
4.0ms130×body80valid
3.0ms42×body320valid
1.0ms15×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
064911
164911

prune5.0ms

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: 13.5b

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))
1.3b
(- (/ 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))
8.0ms
(/ 1.0 (- x 1.0))
24.0ms
(- (/ 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)))

simplify73.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049051239
149051239

prune148.0ms

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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done000
Total1101111

Merged error: 0.6b

Counts
111 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(/ (* 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)))

simplify38.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05043445

prune51.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331

Merged error: 0.0b

Counts
31 → 3

localize8.0ms

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))
5.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05200858

prune94.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh101
Picked011
Done011
Total72476

Merged error: 0.0b

Counts
76 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
21.0ms
(* (cbrt (/ 1.0 (+ 1.0 x))) (cbrt (/ 1.0 (+ 1.0 x))))
5.0ms
(cbrt (/ 1.0 (+ 1.0 x)))
5.0ms
(cbrt (/ 1.0 (+ 1.0 x)))
5.0ms
(cbrt (/ 1.0 (+ 1.0 x)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (/ 1.0 (+ 1.0 x))) (cbrt (/ 1.0 (+ 1.0 x))))
9.0ms
(cbrt (/ 1.0 (+ 1.0 x)))
9.0ms
(cbrt (/ 1.0 (+ 1.0 x)))
9.0ms
(cbrt (/ 1.0 (+ 1.0 x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051612812

prune521.0ms

Filtered
134 candidates to 192 candidates (-43.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh011
Picked011
Done022
Total1924196

Merged error: 0.0b

Counts
196 → 4

regimes32.0ms

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

sample556.0ms

Algorithm
intervals
Results
200.0ms1864×body640valid
127.0ms4260×body80valid
98.0ms1248×body320valid
36.0ms628×body160valid

Profiling

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