Details

Time bar (total: 1.7s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01211
11211

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series11.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05238995

prune118.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New94296
Fresh000
Picked101
Done000
Total95297

Merged error: 0b

Counts
97 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
204×*-un-lft-identity
167×times-frac
158×add-sqr-sqrt
90×add-cube-cbrt
51×swap-sqr
39×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
29×distribute-lft-out--
20×distribute-lft-out difference-of-squares
18×pow1 associate-/r/
9×cbrt-undiv div-exp div-inv
8×prod-exp cbrt-unprod unswap-sqr
6×flip3-- flip-- add-log-exp
5×associate-/r*
4×flip3-+ flip-+
3×associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
1×sub-neg frac-2neg diff-log clear-num frac-sub
Counts
4 → 244
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
24.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
20.0ms
(* (/ x (+ 1.0 x)) (/ x (+ 1.0 x)))
19.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series14.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1.0 (- x 1.0))
5.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
3.0ms
(* (/ x (+ 1.0 x)) (/ x (+ 1.0 x)))
3.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050023173

prune662.0ms

Filtered
163 candidates to 256 candidates (-57.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done000
Total2562258

Merged error: 0b

Counts
258 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0)))
0.0b
(* x (- x 1.0))
17.8b
(/ (+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0))) (- (* x x) (* 1.0 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt associate-*r/
16×*-un-lft-identity
14×add-cube-cbrt
12×times-frac
8×frac-add
7×add-exp-log add-cbrt-cube
6×flip3-- flip3-+ flip-- flip-+ associate-/l/
5×pow1 distribute-rgt-in distribute-lft-in associate-*r* add-log-exp difference-of-squares
4×sub-neg associate-+r+ associate-/r*
3×associate-*l* associate-/l*
2×associate-+l+ associate-/r/
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
3 → 86
Calls
3 calls:
9.0ms
(+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0)))
6.0ms
(* x (- x 1.0))
11.0ms
(/ (+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0))) (- (* x x) (* 1.0 1.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0)))
4.0ms
(* x (- x 1.0))
5.0ms
(/ (+ (* 1.0 (+ 1.0 x)) (* x (- x 1.0))) (- (* x x) (* 1.0 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
059161584

prune137.0ms

Filtered
72 candidates to 95 candidates (-31.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done011
Total95297

Merged error: 0b

Counts
97 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
11235

end0.0ms

sample342.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid

Profiling

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