Details

Time bar (total: 1.2s)

analyze7.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2113

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(- 1.0 (* x x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
3.0ms
(- 1.0 (* x x))

series8.0ms

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

simplify83.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0172188
1581181
22888178
35001177

prune54.0ms

Filtered
27 candidates to 35 candidates (-29.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New33235
Fresh000
Picked101
Done000
Total34236

Merged error: 0b

Counts
36 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
25×times-frac
24×add-sqr-sqrt
23×pow-prod-down
22×pow-sqr
21×add-cube-cbrt *-un-lft-identity
18×add-exp-log pow-plus sqrt-prod add-cbrt-cube
13×pow2
8×prod-exp cbrt-unprod difference-of-squares
6×add-log-exp
4×associate-/r/ associate-/l*
3×associate-/r*
2×rem-sqrt-square flip3-- flip3-+ flip-- flip-+ div-inv associate-/l/
1×cbrt-undiv sub-neg frac-2neg sqrt-pow1 pow1/2 sqrt-div diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* (* x x) (* x x)))
6.0ms
(sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))
7.0ms
(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
8.0ms
(* (* x x) (* x x))

series30.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* 1.0 1.0) (* (* x x) (* x x)))
7.0ms
(sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))
10.0ms
(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
6.0ms
(* (* x x) (* x x))

simplify60.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04691112
119891007
25001989

prune345.0ms

Filtered
91 candidates to 154 candidates (-69.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1540154
Fresh011
Picked011
Done000
Total1542156

Merged error: 0b

Counts
156 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×frac-times *-un-lft-identity sqrt-div
7×pow1
6×flip3-- flip3-+ associate-*r* flip-- flip-+
4×add-exp-log add-cube-cbrt associate-*r/ associate-*l* associate-*l/ add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow-prod-down sqrt-prod add-log-exp difference-of-squares
1×pow1/2 prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
2 → 53
Calls
2 calls:
9.0ms
(sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))
11.0ms
(* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))
10.0ms
(* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0286537
11382493
25001489

prune110.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done011
Total59261

Merged error: 0b

Counts
61 → 2

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

analyze5.0ms

Algorithm
search

sample264.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid

Profiling

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