Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample78.0ms (1.7%)

Algorithm

1×

intervals

Results

44.0ms	119×	body	1024	valid
14.0ms	69×	body	512	valid
7.0ms	12×	body	2048	valid
5.0ms	37×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify331.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.0b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1101`
52×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
30×	`log-prod_binary64_1187`
25×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139`
6×	`associate-/r*_binary64_1045`
4×	`associate-/l*_binary64_1046` `associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162`
2×	`add-log-exp_binary64_1140` `rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `log-pow_binary64_1190` `log-div_binary64_1188`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series22.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4989	1847
1	4989	1847

prune117.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

Compiler

Compiled 1742 to 1395 computations (19.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (pow.f64 x 3) 2/3)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
6×	`add-exp-log_binary64_1139`
5×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `unswap-sqr_binary64_1069`
3×	`prod-exp_binary64_1150` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
2×	`sqr-pow_binary64_1073`
1×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cube-mult_binary64_1131` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `pow1_binary64_1162` `unpow3_binary64_1167` `pow-to-exp_binary64_1170`

Counts

1 → 31

Calls

1 calls:

6.0ms

(*.f64 (pow.f64 x 3) 2/3)

series25.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 (pow.f64 x 3) 2/3)

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5078	316

prune33.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

Compiler

Compiled 588 to 402 computations (31.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

7.4b	(log.f64 (-.f64 1 x))
7.6b	(log.f64 (+.f64 1 x))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`log-prod_binary64_1187`
9×	`*-un-lft-identity_binary64_1101`
7×	`add-sqr-sqrt_binary64_1123`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `log-div_binary64_1188`
2×	`difference-of-squares_binary64_1070` `add-log-exp_binary64_1140` `rem-log-exp_binary64_1142` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190`
1×	`distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

2 → 32

Calls

2 calls:

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

series16.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(log.f64 (+.f64 1 x))
8.0ms	(log.f64 (-.f64 1 x))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4873	408
1	4873	408

prune39.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

Compiler

Compiled 669 to 543 computations (18.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
7.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
7.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
7.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64_1101`
90×	`log-prod_binary64_1187`
74×	`add-sqr-sqrt_binary64_1123`
72×	`times-frac_binary64_1107`
38×	`add-cube-cbrt_binary64_1136`
24×	`difference-of-squares_binary64_1070`
18×	`distribute-lft-out_binary64_1052`
13×	`add-exp-log_binary64_1139`
12×	`distribute-lft-out--_binary64_1053`
8×	`pow1_binary64_1162`
6×	`rem-log-exp_binary64_1142` `associate-/r/_binary64_1047`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190` `cbrt-prod_binary64_1132`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `div-exp_binary64_1152` `log-div_binary64_1188`
1×	`pow1/3_binary64_1183`

Counts

4 → 135

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

series71.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4901	3037
1	4901	3037

prune342.0ms (7.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

Compiler

Compiled 5573 to 4511 computations (19.1% saved)

regimes165.0ms (3.6%)

Compiler: Compiled 2048 to 1753 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample2.9s (63.4%)

Algorithm

1×

intervals

Results

1.5s	4106×	body	1024	valid
417.0ms	1939×	body	512	valid
213.0ms	388×	body	2048	valid
120.0ms	965×	body	256	valid
40.0ms	602×	body	128	valid

Compiler

Compiled 451 to 386 computations (14.4% saved)

Details

analyze5.0ms (0.1%)

sample78.0ms (1.7%)

simplify331.0ms (7.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite23.0ms (0.5%)

series22.0ms (0.5%)

simplify86.0ms (1.9%)

prune117.0ms (2.6%)

localize7.0ms (0.2%)

rewrite8.0ms (0.2%)

series25.0ms (0.6%)

simplify53.0ms (1.1%)

prune33.0ms (0.7%)

localize8.0ms (0.2%)

rewrite9.0ms (0.2%)

series16.0ms (0.4%)

simplify87.0ms (1.9%)

prune39.0ms (0.8%)

localize11.0ms (0.2%)

rewrite41.0ms (0.9%)

series71.0ms (1.5%)

simplify90.0ms (2%)

prune342.0ms (7.5%)

regimes165.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (63.4%)

Profiling