Details

Time bar (total: 2.0s)

analyze84.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
31.2%31.2%37.6%6
37.5%25%37.6%7
40.6%15.6%43.8%8
42.9%11.7%45.4%9
44.1%7.4%48.5%10
45.1%5.7%49.3%11
45.6%3.6%50.8%12
46%2.8%51.2%13
46.2%1.8%52%14

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms3×body80nan
0.0ms3×body80invalid

simplify187.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (184.0ms)

IterNodesCost
0481914
1481914

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 y (/.f64 1.0 (*.f64 x 9.0)))
0.3b
(*.f64 (*.f64 3.0 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1.0 (*.f64 x 9.0))) 1.0))
0.3b
(*.f64 3.0 (sqrt.f64 x))
0.5b
(/.f64 1.0 (*.f64 x 9.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×pow1_binary64
10×add-cube-cbrt_binary64
6×add-log-exp_binary64
5×cbrt-unprod_binary64 prod-exp_binary64
4×pow-prod-down_binary64 associate-*l*_binary64 sqrt-prod_binary64
3×associate-/l*_binary64 times-frac_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 div-exp_binary64 associate--l+_binary64 *-commutative_binary64
1×flip3-+_binary64 associate-/r*_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 82
Calls
4 calls:
5.0ms
(+.f64 y (/.f64 1.0 (*.f64 x 9.0)))
13.0ms
(*.f64 (*.f64 3.0 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1.0 (*.f64 x 9.0))) 1.0))
5.0ms
(*.f64 3.0 (sqrt.f64 x))
5.0ms
(/.f64 1.0 (*.f64 x 9.0))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 y (/.f64 1.0 (*.f64 x 9.0)))
17.0ms
(*.f64 (*.f64 3.0 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1.0 (*.f64 x 9.0))) 1.0))
6.0ms
(*.f64 3.0 (sqrt.f64 x))
3.0ms
(/.f64 1.0 (*.f64 x 9.0))

simplify29.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05384938

prune135.0ms

Filtered
65 candidates to 94 candidates (-44.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New821294
Fresh000
Picked101
Done000
Total831295

Merged error: 0.0b

Counts
95 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1.0 (*.f64 x 9.0)) y)
0.2b
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0))
0.3b
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0)))
0.5b
(/.f64 1.0 (*.f64 x 9.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
11×pow1_binary64
10×add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
9×associate-*l*_binary64
7×associate-*r*_binary64
6×add-log-exp_binary64 sub-neg_binary64 associate-*r/_binary64 associate--l+_binary64
5×cbrt-unprod_binary64 prod-exp_binary64
4×pow-prod-down_binary64 sqrt-prod_binary64
3×associate-/l*_binary64 times-frac_binary64
2×flip3--_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 div-exp_binary64 flip--_binary64 *-commutative_binary64
1×flip3-+_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 92
Calls
4 calls:
7.0ms
(+.f64 (/.f64 1.0 (*.f64 x 9.0)) y)
15.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0))
15.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0)))
5.0ms
(/.f64 1.0 (*.f64 x 9.0))

series37.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (/.f64 1.0 (*.f64 x 9.0)) y)
13.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0))
15.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 1.0 (*.f64 x 9.0)) y) 1.0)))
3.0ms
(/.f64 1.0 (*.f64 x 9.0))

simplify29.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
060261294

prune120.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1022104
Fresh2911
Picked101
Done000
Total10511116

Merged error: 0.0b

Counts
116 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 (/.f64 1.0 x) 9.0) y)
0.2b
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0))
0.3b
(/.f64 (/.f64 1.0 x) 9.0)
0.3b
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
57×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
50×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-/l*_binary64
11×pow1_binary64
10×distribute-lft-in_binary64 distribute-rgt-in_binary64
9×associate-*l*_binary64
7×associate-*r*_binary64
6×add-log-exp_binary64 sub-neg_binary64 associate-*r/_binary64 associate--l+_binary64
5×div-inv_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 sqrt-prod_binary64
3×associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
2×flip3--_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
1×flip3-+_binary64 associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 141
Calls
4 calls:
16.0ms
(+.f64 (/.f64 (/.f64 1.0 x) 9.0) y)
23.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0))
6.0ms
(/.f64 (/.f64 1.0 x) 9.0)
26.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (/.f64 (/.f64 1.0 x) 9.0) y)
13.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0))
3.0ms
(/.f64 (/.f64 1.0 x) 9.0)
18.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 1.0 x) 9.0) y) 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049851923
149851923

prune166.0ms

Filtered
112 candidates to 153 candidates (-36.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh01010
Picked011
Done000
Total15311164

Merged error: 0.0b

Counts
164 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y)
0.2b
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0))
0.3b
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0)))
0.4b
(*.f64 (/.f64 1 x) (/.f64 1.0 9.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64
33×add-exp-log_binary64
26×*-un-lft-identity_binary64
25×times-frac_binary64
23×add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 associate-*l*_binary64
19×associate-*r*_binary64
13×pow1_binary64
12×prod-exp_binary64
10×distribute-lft-in_binary64 distribute-rgt-in_binary64
8×cbrt-unprod_binary64 unswap-sqr_binary64 div-exp_binary64
7×associate-*r/_binary64
6×add-log-exp_binary64 sub-neg_binary64 associate--l+_binary64
5×pow-prod-down_binary64
4×cbrt-undiv_binary64 sqrt-prod_binary64
3×*-commutative_binary64
2×flip3--_binary64 1-exp_binary64 rec-exp_binary64 div-inv_binary64 flip--_binary64
1×flip3-+_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64
Counts
4 → 125
Calls
4 calls:
8.0ms
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y)
15.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0))
16.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0)))
13.0ms
(*.f64 (/.f64 1 x) (/.f64 1.0 9.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y)
13.0ms
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0))
15.0ms
(*.f64 3.0 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1.0 9.0)) y) 1.0)))
3.0ms
(*.f64 (/.f64 1 x) (/.f64 1.0 9.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
055301565

prune122.0ms

Filtered
95 candidates to 137 candidates (-44.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh099
Picked011
Done011
Total13711148

Merged error: 0.0b

Counts
148 → 11

regimes119.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02514
12514

end0.0ms

sample489.0ms

Algorithm
intervals
Results
340.0ms8000×body80valid
8.0ms141×body80nan
3.0ms73×body80invalid

Profiling

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