Details

analyze123.0ms (4%)

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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	225×	body	128	valid
2.0ms	17×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	8×	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)))

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_16127`
4×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
3×	`associate-l_binary64_16046` `associate-r_binary64_16045`
2×	`flip3-+_binary64_16108` `associate-*r/_binary64_16047` `flip-+_binary64_16079`
1×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `*-commutative_binary64_16036` `sum-log_binary64_16196` `+-commutative_binary64_16035`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
3.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 476 to 367 computations (22.9% saved)

series85.0ms (2.7%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

51.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
26.0ms	(+.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 (53.0ms)

Iter	Nodes	Cost
0	5235	482

prune41.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Error

0.0b

Counts

47 → 8

Compiler

Compiled 585 to 441 computations (24.6% saved)

localize6.0ms (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)

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
4×	`add-log-exp_binary64_16144` `add-sqr-sqrt_binary64_16127`
3×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-cube-cbrt_binary64_16140` `cbrt-unprod_binary64_16138` `-un-lft-identity_binary64_16105` `associate-r*_binary64_16045`
1×	`unswap-sqr_binary64_16073` `associate-l_binary64_16046` `*-commutative_binary64_16036` `sum-log_binary64_16196` `flip3-+_binary64_16108` `flip-+_binary64_16079` `+-commutative_binary64_16035`

Counts

2 → 30

Calls

2 calls:

8.0ms	(.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)

series93.0ms (3%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

62.0ms	(+.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 (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4918	405
1	4918	405

prune31.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	39	8	47

Error

Counts

47 → 8

Compiler

Compiled 548 to 383 computations (30.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite76.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_16136`
23×	`add-sqr-sqrt_binary64_16127`
15×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
11×	`pow1_binary64_16166`
9×	`pow1/3_binary64_16187`
6×	`add-exp-log_binary64_16143` `swap-sqr_binary64_16072` `associate-l_binary64_16046` `associate-r_binary64_16045`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `unswap-sqr_binary64_16073`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `*-commutative_binary64_16036`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1378 to 597 computations (56.7% saved)

series327.0ms (10.5%)

Error

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
80.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)
73.0ms	(cbrt.f64 x)

Compiler

Compiled 591 to 441 computations (25.4% saved)

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune71.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Error

Counts

93 → 8

Compiler

Compiled 1491 to 796 computations (46.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 6 (*.f64 x -9))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.1b	(.f64 x (.f64 x 81))
6.6b	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))

rewrite120.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
11×	`pow1_binary64_16166` `add-sqr-sqrt_binary64_16127`
9×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
6×	`add-log-exp_binary64_16144` `associate-l_binary64_16046`
5×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
4×	`flip3--_binary64_16109` `associate-r/_binary64_16047` `flip--_binary64_16080` `pow-prod-down_binary64_16176` `associate-r*_binary64_16045`
3×	`times-frac_binary64_16111` `associate-/r*_binary64_16049` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-/l/_binary64_16052` `associate-/r/_binary64_16051` `*-commutative_binary64_16036` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054`
1×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/l*_binary64_16050` `unswap-sqr_binary64_16073` `diff-log_binary64_16197`

Counts

4 → 79

Calls

4 calls:

9.0ms	(/.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))))
6.0ms	(-.f64 6 (*.f64 x -9))
5.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 1867 to 1391 computations (25.5% saved)

series416.0ms (13.3%)

Error

Counts

4 → 21

Calls

4 calls:

277.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
69.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
29.0ms	(-.f64 6 (*.f64 x -9))
26.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 648 to 534 computations (17.6% saved)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4892	1353
1	4892	1353

prune94.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	100	8	108

Error

Counts

108 → 8

Compiler

Compiled 1813 to 1352 computations (25.4% saved)

regimes134.0ms (4.3%)

Accuracy

Total 0.2b remaining (98%)

Threshold costs 0.2b (98%)

Compiler

Compiled 1216 to 998 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.1s (34%)

Algorithm

1×

intervals

Results

190.0ms	7217×	body	128	valid
37.0ms	424×	body	1024	valid
16.0ms	244×	body	512	valid
5.0ms	115×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 624 to 513 computations (17.8% saved)

Details

analyze123.0ms (4%)

sample17.0ms (0.5%)

simplify30.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite45.0ms (1.5%)

series85.0ms (2.7%)

simplify64.0ms (2.1%)

prune41.0ms (1.3%)

localize6.0ms (0.2%)

rewrite36.0ms (1.2%)

series93.0ms (3%)

simplify74.0ms (2.4%)

prune31.0ms (1%)

localize11.0ms (0.4%)

rewrite76.0ms (2.4%)

series327.0ms (10.5%)

simplify79.0ms (2.5%)

prune71.0ms (2.3%)

localize10.0ms (0.3%)

rewrite120.0ms (3.8%)

series416.0ms (13.3%)

simplify66.0ms (2.1%)

prune94.0ms (3%)

regimes134.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (34%)

Profiling