Details

Time bar (total: 4.5s)

analyze900.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
0500019

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
0.0b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
5.8b
(/.f64 (*.f64 y t) (*.f64 2 z))
7.2b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
17×times-frac_binary64
14×add-cube-cbrt_binary64
8×add-log-exp_binary64
7×difference-of-squares_binary64
6×associate-/r*_binary64 distribute-lft-out--_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64
3×flip3--_binary64 flip--_binary64
2×sub-neg_binary64 diff-log_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 85
Calls
4 calls:
5.0ms
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
11.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
9.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
7.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
71.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
29.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
117.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050192019

prune95.0ms

Filtered
70 candidates to 97 candidates (-38.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91697
Fresh011
Picked101
Done000
Total92799

Merged error: 1.6b

Counts
99 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
0.2b
(/.f64 2 (/.f64 t z))
4.4b
(/.f64 y (/.f64 2 (/.f64 t z)))
7.2b
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
520×times-frac_binary64
305×add-sqr-sqrt_binary64
254×*-un-lft-identity_binary64
244×add-cube-cbrt_binary64
65×associate-/r*_binary64
23×div-inv_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×difference-of-squares_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×associate-/l*_binary64
8×associate-/r/_binary64
6×add-log-exp_binary64
5×distribute-lft-out--_binary64
4×pow1_binary64
3×clear-num_binary64 frac-2neg_binary64
2×flip3--_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64
Counts
4 → 329
Calls
4 calls:
46.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
8.0ms
(/.f64 2 (/.f64 t z))
12.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
38.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
15.0ms
(/.f64 2 (/.f64 t z))
25.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
113.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

simplify138.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050638131

prune311.0ms

Filtered
284 candidates to 341 candidates (-20.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3401341
Fresh156
Picked011
Done000
Total3417348

Merged error: 1.6b

Counts
348 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 2 (/.f64 t z))
0.5b
(/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
4.4b
(/.f64 y (/.f64 2 (/.f64 t z)))
7.1b
(*.f64 y (/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
563×times-frac_binary64
362×add-sqr-sqrt_binary64
272×*-un-lft-identity_binary64
257×add-cube-cbrt_binary64
65×associate-/r*_binary64
31×add-exp-log_binary64
30×associate-*r*_binary64
28×difference-of-squares_binary64
25×add-cbrt-cube_binary64
24×div-inv_binary64
13×div-exp_binary64
11×cbrt-undiv_binary64
10×associate-/r/_binary64
9×associate-/l*_binary64
7×pow1_binary64 distribute-lft-out--_binary64
4×add-log-exp_binary64 prod-exp_binary64
3×associate-*l*_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64
2×flip3--_binary64 cbrt-unprod_binary64 1-exp_binary64 rec-exp_binary64 flip--_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 inv-pow_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
4 → 372
Calls
4 calls:
6.0ms
(/.f64 2 (/.f64 t z))
50.0ms
(/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
19.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
46.0ms
(*.f64 y (/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/.f64 2 (/.f64 t z))
29.0ms
(/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
25.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
116.0ms
(*.f64 y (/.f64 1 (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))

simplify168.0ms

Algorithm
egg-herbie
Counts
384 → 384
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049738756
149738756

prune354.0ms

Filtered
301 candidates to 384 candidates (-27.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3840384
Fresh055
Picked011
Done011
Total3847391

Merged error: 1.6b

Counts
391 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

5.8b
(/.f64 (*.f64 y t) (*.f64 z 2))
7.2b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
7.2b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
7.2b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
46×times-frac_binary64
34×add-cube-cbrt_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r*_binary64
12×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/l*_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64
4×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
3×flip3--_binary64 flip--_binary64
Counts
4 → 132
Calls
4 calls:
6.0ms
(/.f64 (*.f64 y t) (*.f64 z 2))
8.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
7.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
7.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/.f64 (*.f64 y t) (*.f64 z 2))
115.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
116.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))
120.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))

simplify78.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049933178
149933178

prune203.0ms

Filtered
101 candidates to 144 candidates (-42.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh044
Picked011
Done022
Total1447151

Merged error: 1.6b

Counts
151 → 7

regimes98.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03819
13819

end0.0ms

sample581.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid

Profiling

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