Details

analyze434.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
3.0ms	78×	body	80	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 17.7b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
16.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `insert-posit16` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
8.0ms	(*.f64 x (+.f64 y z))

series326.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

228.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
51.0ms	(*.f64 x (+.f64 y z))
47.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify152.0ms (3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4970	973
1	4970	973

prune65.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 17.6b

Counts

64 → 9

Compiler

Compiled 1285 to 449 computations (65.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
16.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
16.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
8.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series547.0ms (11%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
227.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
45.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
45.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify113.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5012	1450

prune80.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 17.6b

Counts

81 → 9

Compiler

Compiled 2444 to 520 computations (78.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
16.8b	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`sqrt-prod_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 52

Calls

4 calls:

17.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
17.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series630.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))
156.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
61.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5433	891

prune66.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	63	10	73

Merged error: 17.4b

Counts

73 → 10

Compiler

Compiled 1521 to 500 computations (67.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.3b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.3b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `pow1_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`
2×	`pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
8.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series896.0ms (18%)

Counts

4 → 12

Calls

4 calls:

413.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
400.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
42.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
41.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify256.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	5085	1348

prune65.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	68	10	78

Merged error: 17.4b

Counts

78 → 10

Compiler

Compiled 2138 to 378 computations (82.3% saved)

regimes67.0ms (1.3%)

Compiler: Compiled 606 to 405 computations (33.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms (0%)

sample963.0ms (19.3%)

Algorithm

1×

intervals

Results

377.0ms	8000×	body	80	valid
102.0ms	2336×	body	80	nan

Compiler

Compiled 292 to 201 computations (31.2% saved)

Details

analyze434.0ms (8.7%)

sample27.0ms (0.5%)

simplify23.0ms (0.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite27.0ms (0.5%)

series326.0ms (6.5%)

simplify152.0ms (3%)

prune65.0ms (1.3%)

localize14.0ms (0.3%)

rewrite36.0ms (0.7%)

series547.0ms (11%)

simplify113.0ms (2.3%)

prune80.0ms (1.6%)

localize13.0ms (0.3%)

rewrite38.0ms (0.8%)

series630.0ms (12.7%)

simplify78.0ms (1.6%)

prune66.0ms (1.3%)

localize12.0ms (0.2%)

rewrite36.0ms (0.7%)

series896.0ms (18%)

simplify256.0ms (5.1%)

prune65.0ms (1.3%)

regimes67.0ms (1.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample963.0ms (19.3%)

Profiling