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)

sample57.0ms (1.9%)

Algorithm

1×

intervals

Results

35.0ms	94×	body	1024	valid
8.0ms	47×	body	512	valid
3.0ms	7×	body	2048	valid
3.0ms	88×	body	128	valid
2.0ms	20×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify169.0ms (5.6%)

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: 40.8b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

1.9b	(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))

series29.0ms (1%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4959	210
1	4959	210

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

Compiler

Compiled 188 to 145 computations (22.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.3b	(*.f64 x 1/3)

rewrite19.0ms (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)

series135.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

77.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
36.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
21.0ms	(*.f64 x 1/3)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4939	905
1	4939	905

prune64.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

Compiler

Compiled 1167 to 869 computations (25.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.3b	(*.f64 x 1/3)

rewrite24.0ms (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)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series190.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
76.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
27.0ms	(*.f64 x 1/3)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4995	822
1	4995	822

prune58.0ms (1.9%)

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 1115 to 760 computations (31.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
1.1b	(log.f64 (-.f64 1 (*.f64 x x)))
1.9b	(log.f64 (-.f64 1 x))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_1508`
19×	`*-un-lft-identity_binary64_1425`
17×	`add-sqr-sqrt_binary64_1446`
9×	`difference-of-squares_binary64_1394` `pow1_binary64_1483`
8×	`log-div_binary64_1509`
7×	`add-cube-cbrt_binary64_1457`
6×	`distribute-lft-out--_binary64_1379` `associate--r+_binary64_1363` `log-pow_binary64_1511`
5×	`flip--_binary64_1400` `associate--l+_binary64_1364` `flip3--_binary64_1429` `add-exp-log_binary64_1460`
3×	`add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461`
2×	`associate--l-_binary64_1365` `rem-log-exp_binary64_1463` `associate--r-_binary64_1366`
1×	`diff-log_binary64_1514` `sub-neg_binary64_1418`

Counts

3 → 64

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series140.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
53.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
27.0ms	(log.f64 (-.f64 1 x))

simplify63.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4948	1231
1	4948	1231

prune67.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

Compiler

Compiled 1263 to 864 computations (31.6% saved)

regimes36.0ms (1.2%)

Compiler: Compiled 133 to 112 computations (15.8% 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%)

sample1.7s (56.1%)

Algorithm

1×

intervals

Results

937.0ms	2641×	body	1024	valid
239.0ms	1377×	body	512	valid
119.0ms	250×	body	2048	valid
98.0ms	3065×	body	128	valid
57.0ms	667×	body	256	valid

Compiler

Compiled 84 to 69 computations (17.9% saved)

Details

analyze3.0ms (0.1%)

sample57.0ms (1.9%)

simplify169.0ms (5.6%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series29.0ms (1%)

simplify82.0ms (2.7%)

prune17.0ms (0.6%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series135.0ms (4.5%)

simplify60.0ms (2%)

prune64.0ms (2.1%)

localize7.0ms (0.2%)

rewrite24.0ms (0.8%)

series190.0ms (6.3%)

simplify60.0ms (2%)

prune58.0ms (1.9%)

localize7.0ms (0.2%)

rewrite22.0ms (0.7%)

series140.0ms (4.6%)

simplify63.0ms (2.1%)

prune67.0ms (2.2%)

regimes36.0ms (1.2%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (56.1%)

Profiling