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)

sample59.0ms (1.6%)

Algorithm

1×

intervals

Results

37.0ms	100×	body	1024	valid
8.0ms	45×	body	512	valid
4.0ms	9×	body	2048	valid
3.0ms	87×	body	128	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify156.0ms (4.3%)

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: 41.9b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.6b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0.1%)

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 (0.7%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4959	210
1	4959	210

prune21.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.1b

Counts

19 → 2

Compiler

Compiled 188 to 146 computations (22.3% 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)))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite20.0ms (0.5%)

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)

series137.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
37.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
28.0ms	(*.f64 x 1/3)

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4939	905
1	4939	905

prune72.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.1b

Counts

73 → 5

Compiler

Compiled 1257 to 944 computations (24.9% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/3)
10.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
10.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
10.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1446`
9×	`add-cube-cbrt_binary64_1457` `cbrt-prod_binary64_1453` `*-un-lft-identity_binary64_1425`
6×	`cbrt-div_binary64_1454` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
4×	`add-log-exp_binary64_1461`
3×	`associate-l_binary64_1368` `flip3-+_binary64_1428` `associate-r_binary64_1367` `pow1/3_binary64_1504` `flip-+_binary64_1399`
1×	`unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

4 → 57

Calls

4 calls:

4.0ms	(*.f64 x 1/3)
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

series214.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
64.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
60.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
21.0ms	(*.f64 x 1/3)

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5039	1311

prune165.0ms (4.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

Compiler

Compiled 2962 to 2382 computations (19.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

10.0b	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
10.0b	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
10.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
10.3b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1446`
8×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
6×	`cbrt-prod_binary64_1453` `sqrt-prod_binary64_1440` `pow1_binary64_1483`
4×	`flip3-+_binary64_1428` `cbrt-div_binary64_1454` `sqrt-div_binary64_1441` `add-cbrt-cube_binary64_1458` `flip-+_binary64_1399` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`
2×	`pow1/2_binary64_1502` `sqrt-pow1_binary64_1442` `pow1/3_binary64_1504` `rem-sqrt-square_binary64_1438`

Counts

4 → 56

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

series204.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
59.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
40.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
38.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4814	1574
1	4814	1574

prune194.0ms (5.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0.1b

Counts

72 → 5

Compiler

Compiled 3770 to 3067 computations (18.6% saved)

regimes45.0ms (1.2%)

Compiler: Compiled 362 to 302 computations (16.6% saved)

bsearch2.0ms (0.1%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	67
1	86	67

end0.0ms (0%)

sample1.9s (52.5%)

Algorithm

1×

intervals

Results

982.0ms	2737×	body	1024	valid
228.0ms	1336×	body	512	valid
133.0ms	277×	body	2048	valid
99.0ms	3008×	body	128	valid
62.0ms	642×	body	256	valid

Compiler

Compiled 245 to 204 computations (16.7% saved)

Details

analyze3.0ms (0.1%)

sample59.0ms (1.6%)

simplify156.0ms (4.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite4.0ms (0.1%)

series26.0ms (0.7%)

simplify84.0ms (2.3%)

prune21.0ms (0.6%)

localize7.0ms (0.2%)

rewrite20.0ms (0.5%)

series137.0ms (3.8%)

simplify60.0ms (1.6%)

prune72.0ms (2%)

localize18.0ms (0.5%)

rewrite19.0ms (0.5%)

series214.0ms (5.9%)

simplify94.0ms (2.6%)

prune165.0ms (4.5%)

localize20.0ms (0.5%)

rewrite20.0ms (0.5%)

series204.0ms (5.6%)

simplify75.0ms (2.1%)

prune194.0ms (5.3%)

regimes45.0ms (1.2%)

bsearch2.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (52.5%)

Profiling