Details

analyze436.0ms (10.6%)

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)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
2.0ms	54×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 21.1b

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))
1.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_17491`
8×	`*-un-lft-identity_binary64_17469`
6×	`add-cube-cbrt_binary64_17504` `pow1_binary64_17530`
5×	`add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
4×	`associate-r_binary64_17409`
3×	`associate-l_binary64_17410` `flip3-+_binary64_17472` `sqrt-prod_binary64_17485` `flip-+_binary64_17443`
2×	`distribute-rgt-in_binary64_17419` `associate-*r/_binary64_17411` `sqrt-div_binary64_17486` `distribute-lft-in_binary64_17418` `associate-+l+_binary64_17402`
1×	`rem-sqrt-square_binary64_17482` `sqrt-pow1_binary64_17487` `distribute-lft-out_binary64_17420` `*-commutative_binary64_17400` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `cbrt-unprod_binary64_17502` `pow1/2_binary64_17549` `sum-log_binary64_17560`

Counts

3 → 51

Calls

3 calls:

10.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series174.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

123.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
26.0ms	(*.f64 x (+.f64 y z))
25.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4949	944
1	4949	944

prune62.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 21.0b

Counts

61 → 8

Compiler

Compiled 1262 to 429 computations (66% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_17491` `add-log-exp_binary64_17508`
6×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `sqrt-prod_binary64_17485` `pow1_binary64_17530`
4×	`sqrt-div_binary64_17486` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `associate-+l+_binary64_17402` `add-cbrt-cube_binary64_17505`
2×	`rem-sqrt-square_binary64_17482` `sqrt-pow1_binary64_17487` `distribute-rgt-in_binary64_17419` `+-commutative_binary64_17399` `distribute-lft-in_binary64_17418` `pow1/2_binary64_17549` `sum-log_binary64_17560`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series292.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
120.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
25.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
23.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5007	1386

prune75.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	68	8	76

Merged error: 21.0b

Counts

76 → 8

Compiler

Compiled 2397 to 511 computations (78.7% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`sqrt-prod_binary64_17485` `add-sqr-sqrt_binary64_17491`
8×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `sqrt-div_binary64_17486` `pow1_binary64_17530`
4×	`rem-sqrt-square_binary64_17482` `sqrt-pow1_binary64_17487` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1/2_binary64_17549` `add-cbrt-cube_binary64_17505`

Counts

4 → 60

Calls

4 calls:

10.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series494.0ms (12%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
125.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
125.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
116.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	1632

prune107.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	72	8	80

Merged error: 21.0b

Counts

80 → 8

Compiler

Compiled 4420 to 701 computations (84.1% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`sqrt-prod_binary64_17485` `add-sqr-sqrt_binary64_17491`
8×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `sqrt-div_binary64_17486` `pow1_binary64_17530`
4×	`rem-sqrt-square_binary64_17482` `sqrt-pow1_binary64_17487` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1/2_binary64_17549` `add-cbrt-cube_binary64_17505`

Counts

4 → 60

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series475.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
118.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
118.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
115.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5018	1632

prune109.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 21.0b

Counts

80 → 8

Compiler

Compiled 5140 to 699 computations (86.4% saved)

regimes238.0ms (5.8%)

Compiler: Compiled 3188 to 1724 computations (45.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms (0%)

sample1.1s (26.4%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
99.0ms	2327×	body	128	nan

Compiler

Compiled 610 to 347 computations (43.1% saved)

Details

analyze436.0ms (10.6%)

sample25.0ms (0.6%)

simplify90.0ms (2.2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite28.0ms (0.7%)

series174.0ms (4.2%)

simplify64.0ms (1.5%)

prune62.0ms (1.5%)

localize11.0ms (0.3%)

rewrite32.0ms (0.8%)

series292.0ms (7.1%)

simplify65.0ms (1.6%)

prune75.0ms (1.8%)

localize17.0ms (0.4%)

rewrite38.0ms (0.9%)

series494.0ms (12%)

simplify61.0ms (1.5%)

prune107.0ms (2.6%)

localize21.0ms (0.5%)

rewrite40.0ms (1%)

series475.0ms (11.5%)

simplify61.0ms (1.5%)

prune109.0ms (2.7%)

regimes238.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (26.4%)

Profiling