Details

Time bar (total: 2.0s)

analyze80.0ms

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%99.9%0.1%4
12.5%87.4%0.1%5
46.8%53.1%0.1%6
70.2%29.7%0.1%7
76.5%23.4%0.1%8
83.5%16.4%0.1%9
87%12.9%0.1%10
91.1%8.8%0.1%11
93.2%6.7%0.1%12
95.4%4.5%0.1%13
96.5%3.4%0.1%14

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0495217
1495217

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (+.f64 x y))
0.1b
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
20.9b
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
60×flip3-+_binary64 flip-+_binary64 frac-times_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
30×associate-*l/_binary64
27×*-un-lft-identity_binary64
26×associate-/r/_binary64
18×associate-*r/_binary64
15×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64
11×add-sqr-sqrt_binary64
9×distribute-lft-out_binary64 associate-*r*_binary64
8×add-cube-cbrt_binary64
6×swap-sqr_binary64 cbrt-undiv_binary64 div-exp_binary64
5×associate-*l*_binary64
4×pow-prod-down_binary64
3×add-log-exp_binary64
2×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
1×associate-/r*_binary64 pow-prod-up_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 pow-sqr_binary64 pow2_binary64
Counts
3 → 140
Calls
3 calls:
12.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
17.0ms
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
10.0ms
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify80.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049772525
149772525

prune160.0ms

Filtered
92 candidates to 149 candidates (-62.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13712149
Fresh000
Picked101
Done000
Total13812150

Merged error: 8.5b

Counts
150 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (+.f64 x y))
0.1b
(*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
3.4b
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
20.9b
(/.f64 (*.f64 x y) (*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
62×associate-*r/_binary64
50×flip3-+_binary64 flip-+_binary64
28×frac-add_binary64
24×frac-times_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
15×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
12×associate-*l/_binary64
9×associate-*r*_binary64
8×pow1_binary64 add-cube-cbrt_binary64
7×associate-*l*_binary64
6×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×distribute-lft-out_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-exp_binary64
3×distribute-rgt-out_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 128
Calls
4 calls:
6.0ms
(*.f64 y (+.f64 x y))
16.0ms
(*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
8.0ms
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
17.0ms
(/.f64 (*.f64 x y) (*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(*.f64 y (+.f64 x y))
15.0ms
(*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
7.0ms
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
22.0ms
(/.f64 (*.f64 x y) (*.f64 (+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

simplify67.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049882816
149882816

prune156.0ms

Filtered
106 candidates to 140 candidates (-32.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1373140
Fresh3811
Picked011
Done000
Total14012152

Merged error: 5.7b

Counts
152 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (+.f64 x y))
0.1b
(/.f64 (*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
5.1b
(*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y))))
17.8b
(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity_binary64
34×add-exp-log_binary64 add-cbrt-cube_binary64
21×add-sqr-sqrt_binary64
19×flip3-+_binary64 associate-*r*_binary64 flip-+_binary64
18×associate-/r/_binary64
15×add-cube-cbrt_binary64
13×pow1_binary64
12×distribute-lft-out_binary64 times-frac_binary64 frac-times_binary64
10×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
8×associate-*r/_binary64
7×associate-*l*_binary64
6×associate-/r*_binary64 swap-sqr_binary64 associate-*l/_binary64
4×add-log-exp_binary64 associate-/l*_binary64
3×unswap-sqr_binary64 div-inv_binary64
2×pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×associate-/l/_binary64 pow-prod-up_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 137
Calls
4 calls:
9.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
17.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
14.0ms
(*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y))))
9.0ms
(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
19.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 (+.f64 x y) 1))
14.0ms
(*.f64 y (/.f64 x (*.f64 (+.f64 x y) (+.f64 x y))))
10.0ms
(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050281606

prune150.0ms

Filtered
93 candidates to 149 candidates (-60.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1436149
Fresh8210
Picked101
Done101
Total1538161

Merged error: 0.0b

Counts
161 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
0.0b
(/.f64 x (+.f64 x y))
0.0b
(/.f64 y (+.f64 x y))
0.1b
(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64
57×times-frac_binary64
52×add-sqr-sqrt_binary64
40×add-cube-cbrt_binary64
38×add-exp-log_binary64 add-cbrt-cube_binary64
20×distribute-lft-out_binary64
18×associate-*r*_binary64 associate-*l*_binary64
15×cbrt-undiv_binary64 div-exp_binary64
13×associate-/r*_binary64
10×associate-/r/_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×associate-/l*_binary64
6×pow1_binary64
5×flip3-+_binary64 div-inv_binary64 flip-+_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
3×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
2×associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 *-commutative_binary64
Counts
4 → 162
Calls
4 calls:
19.0ms
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
5.0ms
(/.f64 x (+.f64 x y))
5.0ms
(/.f64 y (+.f64 x y))
17.0ms
(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))

series42.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
5.0ms
(/.f64 x (+.f64 x y))
6.0ms
(/.f64 y (+.f64 x y))
19.0ms
(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))

simplify42.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051101996

prune132.0ms

Filtered
121 candidates to 174 candidates (-43.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1686174
Fresh527
Picked101
Done000
Total1748182

Merged error: 0.0b

Counts
182 → 8

regimes106.0ms

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 (1.0ms)

IterNodesCost
01519
11519

end0.0ms

sample412.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid

Profiling

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