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)

sample56.0ms (1.7%)

Algorithm

1×

intervals

Results

31.0ms	78×	body	1024	valid
8.0ms	47×	body	512	valid
6.0ms	12×	body	2048	valid
3.0ms	96×	body	128	valid
2.0ms	23×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify160.0ms (4.8%)

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: 39.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.9b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_1508` `*-un-lft-identity_binary64_1425`
2×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `log-div_binary64_1509` `pow1_binary64_1483` `add-exp-log_binary64_1460`
1×	`flip3-+_binary64_1428` `distribute-lft-out_binary64_1378` `add-cbrt-cube_binary64_1458` `flip-+_binary64_1399` `log-pow_binary64_1511` `rem-log-exp_binary64_1463` `add-log-exp_binary64_1461`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series26.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4959	210
1	4959	210

prune21.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.1b

Counts

19 → 3

Compiler

Compiled 203 to 158 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.4b	(*.f64 x 1/3)

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1446`
9×	`add-cube-cbrt_binary64_1457` `associate-l_binary64_1368` `associate-r_binary64_1367` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `*-un-lft-identity_binary64_1425`
4×	`associate-*r/_binary64_1369`
3×	`unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `add-log-exp_binary64_1461` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`
2×	`distribute-lft-in_binary64_1376` `flip3-+_binary64_1428` `distribute-rgt-in_binary64_1377` `flip-+_binary64_1399`

Counts

3 → 62

Calls

3 calls:

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

series133.0ms (4%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
33.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
20.0ms	(*.f64 x 1/3)

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4939	905
1	4939	905

prune68.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

Compiler

Compiled 1195 to 893 computations (25.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.4b	(*.f64 x 1/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
9×	`associate-l_binary64_1368`
8×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
7×	`associate-r_binary64_1367`
6×	`associate-*r/_binary64_1369`
5×	`distribute-lft-in_binary64_1376` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `distribute-rgt-in_binary64_1377` `pow-prod-down_binary64_1493`
3×	`add-log-exp_binary64_1461` `*-commutative_binary64_1358`
2×	`unswap-sqr_binary64_1393` `flip3-+_binary64_1428` `flip-+_binary64_1399`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
8.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series199.0ms (6%)

Counts

3 → 9

Calls

3 calls:

106.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
67.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
26.0ms	(*.f64 x 1/3)

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4995	822
1	4995	822

prune60.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.1b

Counts

77 → 4

Compiler

Compiled 1143 to 784 computations (31.4% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1425`
16×	`sqrt-prod_binary64_1440`
14×	`log-prod_binary64_1508`
12×	`add-sqr-sqrt_binary64_1446`
10×	`add-cube-cbrt_binary64_1457` `pow1_binary64_1483`
8×	`sqrt-div_binary64_1441`
6×	`log-pow_binary64_1511` `add-exp-log_binary64_1460`
4×	`flip3-+_binary64_1428` `pow1/2_binary64_1502` `distribute-lft-out_binary64_1378` `add-cbrt-cube_binary64_1458` `sqrt-pow1_binary64_1442` `flip-+_binary64_1399` `log-div_binary64_1509` `add-log-exp_binary64_1461`
2×	`rem-log-exp_binary64_1463` `rem-sqrt-square_binary64_1438`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(sqrt.f64 (+.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

series133.0ms (4%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
41.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
26.0ms	(sqrt.f64 (+.f64 1 x))
25.0ms	(sqrt.f64 (+.f64 1 x))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4943	1256
1	4943	1256

prune82.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 1480 to 1148 computations (22.4% saved)

regimes101.0ms (3%)

Compiler: Compiled 613 to 538 computations (12.2% saved)

bsearch2.0ms (0.1%)

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%)

sample1.9s (57.3%)

Algorithm

1×

intervals

Results

968.0ms	2707×	body	1024	valid
225.0ms	1310×	body	512	valid
136.0ms	284×	body	2048	valid
102.0ms	3022×	body	128	valid
58.0ms	677×	body	256	valid

Compiler

Compiled 209 to 178 computations (14.8% saved)

Details

analyze3.0ms (0.1%)

sample56.0ms (1.7%)

simplify160.0ms (4.8%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series26.0ms (0.8%)

simplify85.0ms (2.6%)

prune21.0ms (0.6%)

localize7.0ms (0.2%)

rewrite20.0ms (0.6%)

series133.0ms (4%)

simplify61.0ms (1.9%)

prune68.0ms (2.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series199.0ms (6%)

simplify63.0ms (1.9%)

prune60.0ms (1.8%)

localize5.0ms (0.2%)

rewrite21.0ms (0.6%)

series133.0ms (4%)

simplify61.0ms (1.8%)

prune82.0ms (2.5%)

regimes101.0ms (3%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (57.3%)

Profiling