Details

analyze119.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	236×	body	128	valid
1.0ms	14×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify30.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.2b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 6 (*.f64 x -9))
0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite48.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_19196`
4×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210` `add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
3×	`associate-l_binary64_19115` `associate-r_binary64_19114`
2×	`flip3-+_binary64_19177` `associate-*r/_binary64_19116` `flip-+_binary64_19148`
1×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `*-commutative_binary64_19105` `sum-log_binary64_19265` `+-commutative_binary64_19104`

Counts

2 → 33

Calls

2 calls:

10.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
3.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 476 to 367 computations (22.9% saved)

series84.0ms (2.8%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

49.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
28.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 196 to 163 computations (16.8% saved)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5235	482

prune41.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Error

Counts

47 → 5

Compiler

Compiled 548 to 414 computations (24.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))
0.2b	(.f64 (.f64 x x) -9)

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
4×	`add-log-exp_binary64_19213` `add-sqr-sqrt_binary64_19196`
3×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `add-cube-cbrt_binary64_19209` `cbrt-unprod_binary64_19207` `-un-lft-identity_binary64_19174` `associate-r*_binary64_19114`
1×	`unswap-sqr_binary64_19142` `associate-l_binary64_19115` `*-commutative_binary64_19105` `sum-log_binary64_19265` `flip3-+_binary64_19177` `flip-+_binary64_19148` `+-commutative_binary64_19104`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) -9)
4.0ms	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))

Compiler

Compiled 489 to 306 computations (37.4% saved)

series88.0ms (2.9%)

Error

Counts

2 → 9

Calls

2 calls:

57.0ms	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))
26.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4918	405
1	4918	405

prune29.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

Counts

44 → 5

Compiler

Compiled 503 to 350 computations (30.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))
7.0b	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))

rewrite116.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
11×	`pow1_binary64_19235` `add-sqr-sqrt_binary64_19196`
9×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
6×	`add-log-exp_binary64_19213` `associate-l_binary64_19115`
5×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
4×	`flip3--_binary64_19178` `associate-r/_binary64_19116` `flip--_binary64_19149` `pow-prod-down_binary64_19245` `associate-r*_binary64_19114`
3×	`times-frac_binary64_19180` `associate-/r*_binary64_19118` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`
2×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `associate-/l/_binary64_19121` `associate-/r/_binary64_19120` `*-commutative_binary64_19105` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123`
1×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `associate-/l*_binary64_19119` `unswap-sqr_binary64_19142` `diff-log_binary64_19266`

Counts

4 → 79

Calls

4 calls:

8.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
6.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 36 (.f64 x (.f64 x 81)))

Compiler

Compiled 1887 to 1401 computations (25.8% saved)

series254.0ms (8.4%)

Error

Counts

4 → 21

Calls

4 calls:

91.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
73.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
44.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
30.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 644 to 545 computations (15.4% saved)

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4885	1410
1	4885	1410

prune97.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Error

Counts

105 → 5

Compiler

Compiled 1861 to 1376 computations (26.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (*.f64 x -9) 3)
0.3b	(.f64 6 (.f64 x -9))
0.3b	(.f64 (.f64 x -9) (*.f64 x -9))
9.9b	(/.f64 (.f64 x (+.f64 216 (pow.f64 (.f64 x -9) 3))) (+.f64 (.f64 6 6) (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 6 (.f64 x -9)))))

rewrite227.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`pow1_binary64_19235`
29×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
21×	`pow-prod-down_binary64_19245`
13×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
8×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
4×	`add-log-exp_binary64_19213` `pow-prod-up_binary64_19244` `pow-sqr_binary64_19147` `associate-l_binary64_19115`
3×	`times-frac_binary64_19180` `associate-/r*_binary64_19118` `pow-unpow_binary64_19251`
2×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `flip3-+_binary64_19177` `associate-r/_binary64_19116` `associate-/l/_binary64_19121` `flip-+_binary64_19148` `associate-/r/_binary64_19120` `pow-plus_binary64_19237` `associate-r_binary64_19114` `-commutative_binary64_19105` `pow-pow_binary64_19246` `pow-exp_binary64_19242` `rem-cube-cbrt_binary64_19197`
1×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `associate-/l*_binary64_19119` `pow2_binary64_19255` `swap-sqr_binary64_19141` `unpow-prod-down_binary64_19253` `pow-to-exp_binary64_19243` `unpow3_binary64_19240` `cube-mult_binary64_19204` `cube-prod_binary64_19202` `sqr-pow_binary64_19146`

Counts

4 → 99

Calls

4 calls:

16.0ms	(/.f64 (.f64 x (+.f64 216 (pow.f64 (.f64 x -9) 3))) (+.f64 (.f64 6 6) (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 6 (.f64 x -9)))))
6.0ms	(.f64 (.f64 x -9) (*.f64 x -9))
5.0ms	(.f64 6 (.f64 x -9))
4.0ms	(pow.f64 (*.f64 x -9) 3)

Compiler

Compiled 3558 to 2924 computations (17.8% saved)

series223.0ms (7.4%)

Error

Counts

4 → 15

Calls

4 calls:

130.0ms	(/.f64 (.f64 x (+.f64 216 (pow.f64 (.f64 x -9) 3))) (+.f64 (.f64 6 6) (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 6 (.f64 x -9)))))
36.0ms	(pow.f64 (*.f64 x -9) 3)
26.0ms	(.f64 (.f64 x -9) (*.f64 x -9))
19.0ms	(.f64 6 (.f64 x -9))

Compiler

Compiled 800 to 678 computations (15.3% saved)

simplify63.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4964	1361
1	4964	1361

prune163.0ms (5.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	114	5	119

Error

Counts

119 → 5

Compiler

Compiled 3139 to 2551 computations (18.7% saved)

regimes118.0ms (3.9%)

Accuracy

Total 0.2b remaining (94.8%)

Threshold costs 0.2b (94.8%)

Compiler

Compiled 1048 to 866 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample1.0s (33.4%)

Algorithm

1×

intervals

Results

183.0ms	7229×	body	128	valid
36.0ms	443×	body	1024	valid
14.0ms	219×	body	512	valid
5.0ms	109×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 542 to 448 computations (17.3% saved)

Details

analyze119.0ms (3.9%)

sample14.0ms (0.5%)

simplify30.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite48.0ms (1.6%)

series84.0ms (2.8%)

simplify64.0ms (2.1%)

prune41.0ms (1.4%)

localize5.0ms (0.2%)

rewrite37.0ms (1.2%)

series88.0ms (2.9%)

simplify74.0ms (2.5%)

prune29.0ms (1%)

localize9.0ms (0.3%)

rewrite116.0ms (3.8%)

series254.0ms (8.4%)

simplify83.0ms (2.8%)

prune97.0ms (3.2%)

localize13.0ms (0.4%)

rewrite227.0ms (7.5%)

series223.0ms (7.4%)

simplify63.0ms (2.1%)

prune163.0ms (5.4%)

regimes118.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (33.4%)

Profiling