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)

sample58.0ms (1.6%)

Algorithm

1×

intervals

Results

36.0ms	100×	body	1024	valid
7.0ms	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)

simplify169.0ms (4.5%)

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_1541` `*-un-lft-identity_binary64_1455`
2×	`add-sqr-sqrt_binary64_1477` `log-div_binary64_1542` `pow1_binary64_1516` `add-cube-cbrt_binary64_1490` `add-exp-log_binary64_1493`
1×	`distribute-lft-out_binary64_1406` `flip-+_binary64_1429` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `flip3-+_binary64_1458` `rem-log-exp_binary64_1496` `log-pow_binary64_1544`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series25.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4863	210
1	4863	210

prune45.0ms (1.2%)

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 449 to 370 computations (17.6% 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)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1477`
9×	`associate-r_binary64_1395` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `associate-l_binary64_1396` `*-un-lft-identity_binary64_1455` `add-exp-log_binary64_1493`
4×	`associate-*r/_binary64_1397`
3×	`prod-exp_binary64_1504` `add-log-exp_binary64_1494` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`
2×	`distribute-rgt-in_binary64_1405` `flip-+_binary64_1429` `distribute-lft-in_binary64_1404` `flip3-+_binary64_1458`

Counts

3 → 62

Calls

3 calls:

7.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
5.0ms	(*.f64 x 1/3)

series134.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
34.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
21.0ms	(*.f64 x 1/3)

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5078	905

prune102.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 0.1b

Counts

73 → 5

Compiler

Compiled 1656 to 1270 computations (23.3% saved)

localize17.0ms (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))))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1477`
9×	`cbrt-prod_binary64_1486` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
6×	`cbrt-div_binary64_1487` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
4×	`add-log-exp_binary64_1494`
3×	`associate-r_binary64_1395` `pow1/3_binary64_1537` `flip-+_binary64_1429` `flip3-+_binary64_1458` `associate-l_binary64_1396`
1×	`prod-exp_binary64_1504` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

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)))))

series213.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
63.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
62.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
20.0ms	(*.f64 x 1/3)

simplify102.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4914	1311
1	4914	1311

prune223.0ms (6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.1b

Counts

74 → 4

Compiler

Compiled 4174 to 3375 computations (19.1% saved)

localize21.0ms (0.6%)

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))))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1477`
8×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
6×	`sqrt-prod_binary64_1471` `pow1_binary64_1516` `cbrt-prod_binary64_1486`
4×	`sqrt-div_binary64_1472` `flip-+_binary64_1429` `cbrt-div_binary64_1487` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `flip3-+_binary64_1458` `add-exp-log_binary64_1493`
2×	`sqrt-pow1_binary64_1473` `pow1/3_binary64_1537` `rem-sqrt-square_binary64_1468` `pow1/2_binary64_1535`

Counts

4 → 56

Calls

4 calls:

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

series209.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(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))))
41.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
39.0ms	(sqrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4909	1574
1	4909	1574

prune222.0ms (6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0.1b

Counts

72 → 5

Compiler

Compiled 4079 to 3324 computations (18.5% saved)

regimes59.0ms (1.6%)

Compiler: Compiled 478 to 400 computations (16.3% 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%)

sample1.8s (48.3%)

Algorithm

1×

intervals

Results

960.0ms	2737×	body	1024	valid
222.0ms	1336×	body	512	valid
129.0ms	277×	body	2048	valid
100.0ms	3008×	body	128	valid
57.0ms	642×	body	256	valid

Compiler

Compiled 199 to 166 computations (16.6% saved)

Details

analyze3.0ms (0.1%)

sample58.0ms (1.6%)

simplify169.0ms (4.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.1%)

series25.0ms (0.7%)

simplify90.0ms (2.4%)

prune45.0ms (1.2%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series134.0ms (3.6%)

simplify63.0ms (1.7%)

prune102.0ms (2.7%)

localize17.0ms (0.5%)

rewrite20.0ms (0.5%)

series213.0ms (5.7%)

simplify102.0ms (2.7%)

prune223.0ms (6%)

localize21.0ms (0.6%)

rewrite24.0ms (0.6%)

series209.0ms (5.6%)

simplify85.0ms (2.3%)

prune222.0ms (6%)

regimes59.0ms (1.6%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (48.3%)

Profiling