Details

Time bar (total: 2.1s)

analyze331.0ms

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

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms19×body80invalid

simplify292.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (289.0ms)

IterNodesCost
055207

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
11.7b
(/.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)

series20.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(*.f64 x (-.f64 y z))
12.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04968384
14968384

prune55.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
1.5b
(/.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)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/.f64 y (-.f64 y z))
15.0ms
(/.f64 x (/.f64 y (-.f64 y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049911832
149911832

prune106.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh325
Picked011
Done011
Total1466152

Merged error: 0b

Counts
152 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac_binary64
151×add-sqr-sqrt_binary64
140×*-un-lft-identity_binary64
131×associate-*r*_binary64
104×add-cube-cbrt_binary64
74×cbrt-prod_binary64
25×add-exp-log_binary64
18×difference-of-squares_binary64 distribute-lft-out--_binary64
15×add-cbrt-cube_binary64
13×associate-/r/_binary64
9×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
7×div-inv_binary64
6×flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 pow1/3_binary64
1×associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 193
Calls
4 calls:
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
35.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
18.0ms
(cbrt.f64 x)
18.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))

simplify72.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049582335
149582335

prune155.0ms

Filtered
157 candidates to 205 candidates (-30.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2050205
Fresh033
Picked011
Done022
Total2056211

Merged error: 0b

Counts
211 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

9.8b
(*.f64 (/.f64 x y) (-.f64 y z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×associate-*l*_binary64
11×*-un-lft-identity_binary64
10×times-frac_binary64
9×add-cube-cbrt_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-*r*_binary64
3×pow1_binary64
2×sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 frac-times_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 40
Calls
1 calls:
9.0ms
(*.f64 (/.f64 x y) (-.f64 y z))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(*.f64 (/.f64 x y) (-.f64 y z))

simplify42.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04939380
14939380

prune29.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done033
Total43649

Merged error: 0b

Counts
49 → 6

regimes205.0ms

Accuracy

0.2% (2.8b remaining)

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

bsearch39.0ms

Steps
ItersRangePoint
9
3.6762443903125084e-287
1.1684149711742413e-280
2.116533356902775e-285
9
-3.4258279112194585e-193
-2.1479607544923965e-198
-3.768692521689939e-195

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03025
13025

end0.0ms

sample399.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid
21.0ms757×body80invalid

Profiling

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