Details

analyze1.3s (16.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample139.0ms (1.7%)

Algorithm

1×

intervals

Results

89.0ms	130×	body	1024	valid
20.0ms	56×	body	512	valid
10.0ms	11×	body	2048	valid
6.0ms	35×	body	256	valid
5.0ms	256×	pre	128	true
2.0ms	24×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify178.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

prune2.0ms (0%)

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: 60.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.5b	(log.f64 (+.f64 1 x))
6.5b	(log.f64 (-.f64 1 x))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_1111`
18×	`add-sqr-sqrt_binary64_1133`
16×	`times-frac_binary64_1117`
15×	`add-cube-cbrt_binary64_1146` `pow1_binary64_1172`
12×	`log-pow_binary64_1200`
10×	`log-prod_binary64_1197`
7×	`add-exp-log_binary64_1149`
6×	`log-div_binary64_1198`
5×	`add-cbrt-cube_binary64_1147`
4×	`associate-/r_binary64_1055` `associate-/l_binary64_1056`
3×	`add-log-exp_binary64_1150`
2×	`flip3--_binary64_1115` `difference-of-squares_binary64_1080` `rem-log-exp_binary64_1152` `div-sub_binary64_1116` `flip--_binary64_1086`
1×	`div-inv_binary64_1108` `flip-+_binary64_1085` `frac-2neg_binary64_1122` `flip3-+_binary64_1114` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `distribute-lft-out_binary64_1062` `clear-num_binary64_1110` `distribute-lft-out--_binary64_1063`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series184.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
28.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1554
1	4985	1554

prune186.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0b

Counts

80 → 4

Compiler

Compiled 2556 to 2062 computations (19.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x x) 1/2))
0.0b	(.f64 (.f64 x x) 1/2)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
4×	`add-sqr-sqrt_binary64_1133` `add-log-exp_binary64_1150`
3×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `associate-r*_binary64_1051` `pow-prod-down_binary64_1182`
1×	`-commutative_binary64_1042` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `associate-l*_binary64_1052` `unswap-sqr_binary64_1079` `sum-log_binary64_1202`

Counts

2 → 30

Calls

2 calls:

7.0ms	(.f64 (.f64 x x) 1/2)
4.0ms	(+.f64 x (.f64 (.f64 x x) 1/2))

series115.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

79.0ms	(+.f64 x (.f64 (.f64 x x) 1/2))
36.0ms	(.f64 (.f64 x x) 1/2)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4870	377
1	4870	377

prune28.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

Compiler

Compiled 487 to 324 computations (33.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.4b	(log.f64 (-.f64 1 (*.f64 x x)))
6.5b	(log.f64 (-.f64 1 x))
6.5b	(log.f64 (-.f64 1 x))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_1197`
25×	`*-un-lft-identity_binary64_1111`
23×	`add-sqr-sqrt_binary64_1133`
12×	`pow1_binary64_1172`
11×	`difference-of-squares_binary64_1080`
10×	`add-cube-cbrt_binary64_1146` `log-div_binary64_1198`
8×	`log-pow_binary64_1200`
7×	`distribute-lft-out--_binary64_1063` `add-exp-log_binary64_1149`
6×	`flip3--_binary64_1115` `flip--_binary64_1086` `associate--r+_binary64_1047`
5×	`associate--l+_binary64_1048`
4×	`add-cbrt-cube_binary64_1147` `cancel-sign-sub-inv_binary64_1077` `add-log-exp_binary64_1150`
3×	`rem-log-exp_binary64_1152`
2×	`associate--r-_binary64_1050` `associate--l-_binary64_1049`
1×	`diff-log_binary64_1203` `sub-neg_binary64_1104`

Counts

4 → 85

Calls

4 calls:

11.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series173.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
50.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
29.0ms	(log.f64 (-.f64 1 x))
25.0ms	(log.f64 (-.f64 1 x))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4901	1507
1	4901	1507

prune112.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

Compiler

Compiled 2148 to 1526 computations (29% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
0.0b	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
6.5b	(log.f64 (+.f64 1 x))
6.5b	(log.f64 (-.f64 1 x))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_1117`
78×	`*-un-lft-identity_binary64_1111`
76×	`add-sqr-sqrt_binary64_1133`
73×	`add-cube-cbrt_binary64_1146`
49×	`pow1_binary64_1172`
44×	`log-pow_binary64_1200`
24×	`associate-/r*_binary64_1055`
19×	`add-exp-log_binary64_1149`
11×	`add-cbrt-cube_binary64_1147`
10×	`log-prod_binary64_1197`
8×	`div-exp_binary64_1162`
7×	`associate-/l*_binary64_1056`
6×	`div-inv_binary64_1108` `log-div_binary64_1198`
4×	`cbrt-undiv_binary64_1145` `add-log-exp_binary64_1150`
2×	`flip-+_binary64_1085` `frac-2neg_binary64_1122` `flip3-+_binary64_1114` `1-exp_binary64_1155` `rec-exp_binary64_1161` `difference-of-squares_binary64_1080` `rem-log-exp_binary64_1152` `clear-num_binary64_1110` `div-sub_binary64_1116`
1×	`pow-flip_binary64_1185` `flip3--_binary64_1115` `distribute-lft-out_binary64_1062` `distribute-lft-out--_binary64_1063` `inv-pow_binary64_1196` `flip--_binary64_1086` `associate-/r/_binary64_1057`

Counts

4 → 174

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
7.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series481.0ms (6%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(log.f64 (-.f64 1 x))
116.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
112.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
22.0ms	(log.f64 (+.f64 1 x))

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5223	4578

prune242.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	187	3	190

Merged error: 0b

Counts

190 → 3

Compiler

Compiled 3862 to 3147 computations (18.5% saved)

regimes11.0ms (0.1%)

Compiler: Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.4s (55%)

Algorithm

1×

intervals

Results

2.8s	4012×	body	1024	valid
658.0ms	2006×	body	512	valid
348.0ms	371×	body	2048	valid
159.0ms	994×	body	256	valid
150.0ms	8000×	pre	128	true
44.0ms	617×	body	128	valid

Compiler

Compiled 77 to 64 computations (16.9% saved)

Details

analyze1.3s (16.6%)

sample139.0ms (1.7%)

simplify178.0ms (2.2%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite19.0ms (0.2%)

series184.0ms (2.3%)

simplify55.0ms (0.7%)

prune186.0ms (2.3%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series115.0ms (1.4%)

simplify81.0ms (1%)

prune28.0ms (0.3%)

localize9.0ms (0.1%)

rewrite30.0ms (0.4%)

series173.0ms (2.2%)

simplify68.0ms (0.9%)

prune112.0ms (1.4%)

localize8.0ms (0.1%)

rewrite40.0ms (0.5%)

series481.0ms (6%)

simplify86.0ms (1.1%)

prune242.0ms (3%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (55%)

Profiling