Details

Time bar (total: 1.9s)

analyze399.0ms

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
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms29×body80invalid

simplify305.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (302.0ms)

IterNodesCost
055207

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
10.6b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
5×associate-*r*_binary64
4×pow1_binary64 associate-*r/_binary64
3×associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
2×associate-/l/_binary64 add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64
1×pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 47
Calls
2 calls:
7.0ms
(*.f64 x (-.f64 y z))
7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)

series19.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(*.f64 x (-.f64 y z))
11.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04968384
14968384

prune57.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New47653
Fresh000
Picked101
Done000
Total48654

Merged error: 0b

Counts
54 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
2.7b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
102×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
70×add-cube-cbrt_binary64
26×associate-/r*_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
11×associate-/r/_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-/l*_binary64 div-inv_binary64
5×flip3--_binary64 flip--_binary64
4×cbrt-undiv_binary64 div-exp_binary64
2×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 139
Calls
2 calls:
6.0ms
(/.f64 y (-.f64 y z))
9.0ms
(/.f64 x (/.f64 y (-.f64 y z)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/.f64 y (-.f64 y z))
11.0ms
(/.f64 x (/.f64 y (-.f64 y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049911832
149911832

prune104.0ms

Filtered
108 candidates to 145 candidates (-34.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh235
Picked011
Done000
Total1465151

Merged error: 0b

Counts
151 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
3.0b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
7×difference-of-squares_binary64 distribute-lft-out--_binary64
5×associate-/l*_binary64
4×pow1_binary64
3×associate-/r*_binary64 associate-*l*_binary64
2×associate-/l/_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 *-commutative_binary64
Counts
2 → 76
Calls
2 calls:
8.0ms
(/.f64 (-.f64 y z) y)
10.0ms
(*.f64 x (/.f64 (-.f64 y z) y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 (-.f64 y z) y)
11.0ms
(*.f64 x (/.f64 (-.f64 y z) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05181705

prune59.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0b

Counts
87 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
10.7b
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×associate-*r*_binary64
16×add-cbrt-cube_binary64
15×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 prod-exp_binary64
11×add-cube-cbrt_binary64
9×pow1_binary64 times-frac_binary64
7×cbrt-unprod_binary64 associate-*r/_binary64
4×pow-prod-down_binary64 associate-*l*_binary64 div-exp_binary64
3×flip3--_binary64 flip--_binary64
2×add-log-exp_binary64 sub-neg_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 difference-of-squares_binary64 un-div-inv_binary64 distribute-lft-out--_binary64 div-inv_binary64
Counts
2 → 66
Calls
2 calls:
7.0ms
(*.f64 x (-.f64 y z))
12.0ms
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(*.f64 x (-.f64 y z))
11.0ms
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))

simplify55.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
06070564

prune40.0ms

Filtered
40 candidates to 72 candidates (-80.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done022
Total72577

Merged error: 0b

Counts
77 → 5

regimes164.0ms

Accuracy

13% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.2b

bsearch28.0ms

Steps
ItersRangePoint
9
2.7604976449831213e-50
2.0736394674602847e-45
8.01620173754629e-48
7
-8.767925459815636e-178
-1.0041156861347172e-179
-3.6981446179524545e-179

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03131
13131

end0.0ms

sample395.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid
17.0ms715×body80invalid

Profiling

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