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)

sample71.0ms (1.7%)

Algorithm

1×

intervals

Results

43.0ms	93×	body	1024	valid
11.0ms	48×	body	512	valid
4.0ms	100×	body	128	valid
4.0ms	6×	body	2048	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify147.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune3.0ms (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

Error

38.9b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

3.1b	(log.f64 (+.f64 1 x))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_1101` `log-prod_binary64_1187`
2×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `log-div_binary64_1188`
1×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `rem-log-exp_binary64_1142` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075` `log-pow_binary64_1190`

Counts

1 → 15

Calls

1 calls:

6.0ms

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

series25.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify158.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune30.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Error

0.1b

Counts

19 → 4

Compiler

Compiled 199 to 155 computations (22.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
10×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
9×	`associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140`
4×	`associate-*r/_binary64_1043`
3×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `flip3-+_binary64_1104` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`
2×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 73

Calls

4 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)
3.0ms	(+.f64 -1/2 (*.f64 x 1/3))

series130.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
38.0ms	(+.f64 -1/2 (*.f64 x 1/3))
19.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
17.0ms	(*.f64 x 1/3)

simplify129.0ms (3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5111	1050

prune126.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Error

0.1b

Counts

89 → 4

Compiler

Compiled 1388 to 1040 computations (25.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-l*_binary64_1042`
7×	`associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043`
5×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `distribute-rgt-in_binary64_1051`
3×	`*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 75

Calls

4 calls:

13.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(*.f64 x 1/3)
5.0ms	(+.f64 (*.f64 x 1/3) -1/2)

series203.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
67.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
38.0ms	(+.f64 (*.f64 x 1/3) -1/2)
11.0ms	(*.f64 x 1/3)

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5078	967

prune85.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

0.1b

Counts

91 → 4

Compiler

Compiled 1336 to 917 computations (31.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.1b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.1b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1101`
16×	`sqrt-prod_binary64_1117`
14×	`log-prod_binary64_1187`
12×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
8×	`sqrt-div_binary64_1118`
6×	`add-exp-log_binary64_1139` `log-pow_binary64_1190`
4×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075` `log-div_binary64_1188` `pow1/2_binary64_1181`
2×	`rem-sqrt-square_binary64_1114` `rem-log-exp_binary64_1142`

Counts

4 → 72

Calls

4 calls:

9.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
8.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
6.0ms	(sqrt.f64 (+.f64 1 x))
6.0ms	(sqrt.f64 (+.f64 1 x))

series89.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
21.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
18.0ms	(sqrt.f64 (+.f64 1 x))
13.0ms	(sqrt.f64 (+.f64 1 x))

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4923	1256
1	4923	1256

prune129.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	84	4	88

Error

0.1b

Counts

88 → 4

Compiler

Compiled 1480 to 1146 computations (22.6% saved)

regimes145.0ms (3.4%)

Accuracy

Total 0.2b remaining (79.9%)

Threshold costs 0.2b (79.9%)

Compiler

Compiled 392 to 346 computations (11.7% saved)

bsearch1.0ms (0%)

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	23	31
1	23	31

end0.0ms (0%)

sample2.4s (57.4%)

Algorithm

1×

intervals

Results

1.3s	2701×	body	1024	valid
310.0ms	1302×	body	512	valid
150.0ms	241×	body	2048	valid
142.0ms	3103×	body	128	valid
82.0ms	653×	body	256	valid

Compiler

Compiled 145 to 123 computations (15.2% saved)

Details

analyze3.0ms (0.1%)

sample71.0ms (1.7%)

simplify147.0ms (3.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite8.0ms (0.2%)

series25.0ms (0.6%)

simplify158.0ms (3.7%)

prune30.0ms (0.7%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series130.0ms (3.1%)

simplify129.0ms (3%)

prune126.0ms (3%)

localize7.0ms (0.2%)

rewrite39.0ms (0.9%)

series203.0ms (4.8%)

simplify96.0ms (2.3%)

prune85.0ms (2%)

localize11.0ms (0.2%)

rewrite39.0ms (0.9%)

series89.0ms (2.1%)

simplify93.0ms (2.2%)

prune129.0ms (3%)

regimes145.0ms (3.4%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (57.4%)

Profiling