Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 5 to 5 computations (0% saved)

sample50.0ms (1.6%)

Algorithm

1×

intervals

Results

27.0ms	82×	body	1024	valid
6.0ms	15×	body	2048	valid
6.0ms	34×	body	512	valid
3.0ms	101×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (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

Merged error: 37.8b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.1b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_1528` `*-un-lft-identity_binary64_1442`
2×	`add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `log-div_binary64_1529` `add-cube-cbrt_binary64_1477`
1×	`add-cbrt-cube_binary64_1478` `rem-log-exp_binary64_1483` `log-pow_binary64_1531` `add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

series13.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(log.f64 (+.f64 1 x))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.1b

Counts

19 → 2

Compiler

Compiled 177 to 136 computations (23.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1464`
9×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-*r/_binary64_1384`
3×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
2×	`distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416`

Counts

3 → 62

Calls

3 calls:

5.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series70.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
20.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
13.0ms	(*.f64 x 1/3)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5102	905

prune66.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

Compiler

Compiled 1174 to 872 computations (25.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382`
6×	`associate-*r/_binary64_1384`
5×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
3×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`

Counts

3 → 64

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
6.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series96.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
32.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
13.0ms	(*.f64 x 1/3)

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4933	822
1	4933	822

prune57.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

Compiler

Compiled 1122 to 763 computations (32% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524`
6×	`associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series358.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
87.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune76.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

Compiler

Compiled 1754 to 995 computations (43.3% saved)

regimes99.0ms (3.1%)

Compiler: Compiled 758 to 621 computations (18.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample1.8s (56.9%)

Algorithm

1×

intervals

Results

874.0ms	2665×	body	1024	valid
216.0ms	1341×	body	512	valid
112.0ms	253×	body	2048	valid
97.0ms	3074×	body	128	valid
55.0ms	667×	body	256	valid

Compiler

Compiled 270 to 218 computations (19.3% saved)

Details

analyze3.0ms (0.1%)

sample50.0ms (1.6%)

simplify90.0ms (2.9%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series13.0ms (0.4%)

simplify88.0ms (2.8%)

prune18.0ms (0.6%)

localize7.0ms (0.2%)

rewrite18.0ms (0.6%)

series70.0ms (2.2%)

simplify63.0ms (2%)

prune66.0ms (2.1%)

localize6.0ms (0.2%)

rewrite22.0ms (0.7%)

series96.0ms (3.1%)

simplify53.0ms (1.7%)

prune57.0ms (1.8%)

localize10.0ms (0.3%)

rewrite14.0ms (0.5%)

series358.0ms (11.4%)

simplify59.0ms (1.9%)

prune76.0ms (2.4%)

regimes99.0ms (3.1%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (56.9%)

Profiling