Details

Time bar (total: 1.5s)

analyze3.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
6.0ms56×body640valid
4.0ms147×body80valid
3.0ms33×body320valid
1.0ms20×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.4b

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))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite44.0ms

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 → 102
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
6.0ms
(/ 1.0 (- x 1.0))
29.0ms
(- (/ 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)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0387679
11331648
25001642

prune177.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1065111
Fresh000
Picked101
Done000
Total1075112

Merged error: 0.4b

Counts
112 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.7b
(- (- x 1.0) (+ x 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity add-log-exp
8×add-exp-log flip3-- frac-sub add-cbrt-cube flip--
7×add-sqr-sqrt diff-log
6×associate-*r/ associate-/l/ distribute-lft-out--
5×add-cube-cbrt
4×flip3-+ times-frac associate-/r* flip-+ difference-of-squares
3×pow1 sub-neg
2×cbrt-undiv div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
3 → 72
Calls
3 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
15.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms
(- (- x 1.0) (+ x 1.0))

series9.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0471660
12732582
25002579

prune110.0ms

Filtered
59 candidates to 81 candidates (-37.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New78381
Fresh404
Picked101
Done000
Total83386

Merged error: 0.4b

Counts
86 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.4b
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- div-exp associate-/r/ flip--
1×sub-neg frac-2neg diff-log distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
9.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

series8.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0270337
11322286
25001282

prune66.0ms

Filtered
35 candidates to 45 candidates (-28.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43245
Fresh112
Picked011
Done000
Total44448

Merged error: 0b

Counts
48 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
0.1b
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
6.0ms
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
12.0ms
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

series7.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05711119
130061036
250011036

prune140.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0b

Counts
121 → 4

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1196
2226
3226

end0.0ms

analyze3.0ms

Algorithm
search

sample551.0ms

Algorithm
intervals
Results
202.0ms1965×body640valid
117.0ms4183×body80valid
101.0ms1220×body320valid
35.0ms632×body160valid

Profiling

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