Details

Time bar (total: 1.5s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01516
11516

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64
41×times-frac_binary64
40×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
12×distribute-lft-out_binary64
11×associate-/r*_binary64
9×add-exp-log_binary64
8×difference-of-squares_binary64
7×add-cbrt-cube_binary64
6×associate-/l*_binary64 distribute-lft-out--_binary64
5×add-log-exp_binary64
4×pow1_binary64 difference-of-sqr-1_binary64 associate-/r/_binary64
3×div-inv_binary64 div-exp_binary64
2×flip3-+_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×flip3--_binary64 1-exp_binary64 frac-add_binary64 inv-pow_binary64 rec-exp_binary64 +-commutative_binary64 flip--_binary64 pow-flip_binary64 sum-log_binary64
Counts
3 → 100
Calls
3 calls:
5.0ms
(/.f64 x (+.f64 x 1))
6.0ms
(/.f64 1 (-.f64 x 1))
33.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/.f64 x (+.f64 x 1))
9.0ms
(/.f64 1 (-.f64 x 1))
34.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

simplify85.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051051579

prune78.0ms

Filtered
68 candidates to 109 candidates (-60.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh000
Picked101
Done000
Total1082110

Merged error: 0b

Counts
110 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
457×times-frac_binary64
421×add-sqr-sqrt_binary64
403×*-un-lft-identity_binary64
168×add-cube-cbrt_binary64
118×difference-of-squares_binary64
64×distribute-lft-out--_binary64
56×difference-of-sqr-1_binary64
30×associate-/l*_binary64
29×add-exp-log_binary64
28×associate-/r/_binary64
24×swap-sqr_binary64
23×add-cbrt-cube_binary64
20×distribute-lft-out_binary64
18×associate-*r*_binary64 associate-*l*_binary64
15×pow1_binary64 div-inv_binary64
14×associate-/r*_binary64
12×div-exp_binary64
11×flip3--_binary64 flip--_binary64
8×cbrt-undiv_binary64
6×add-log-exp_binary64
4×flip3-+_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64
2×pow-div_binary64 1-exp_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 pow-flip_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-plus_binary64 pow-sqr_binary64 frac-sub_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 405
Calls
4 calls:
6.0ms
(/.f64 1 (-.f64 x 1))
29.0ms
(-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
20.0ms
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
16.0ms
(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

series55.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/.f64 1 (-.f64 x 1))
21.0ms
(-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
13.0ms
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
13.0ms
(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

simplify179.0ms

Algorithm
egg-herbie
Counts
417 → 417
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049599850
149599850

prune409.0ms

Filtered
175 candidates to 417 candidates (-138.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4170417
Fresh011
Picked011
Done000
Total4172419

Merged error: 0b

Counts
419 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

11.4b
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 flip-+_binary64
1×add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 31
Calls
1 calls:
7.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04913811
14913811

prune30.0ms

Filtered
29 candidates to 34 candidates (-17.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done011
Total34236

Merged error: 0b

Counts
36 → 2

regimes8.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06149
16149

end0.0ms

sample332.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid

Profiling

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