Details

analyze385.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
8.0ms	115×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify239.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5309	25

prune3.0ms (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: 0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_10649`
20×	`add-sqr-sqrt_binary64_10671`
19×	`log-prod_binary64_10735`
15×	`pow1_binary64_10710`
14×	`add-log-exp_binary64_10688` `add-cube-cbrt_binary64_10684`
9×	`log-pow_binary64_10738` `associate-+l+_binary64_10582` `distribute-lft-out_binary64_10600` `associate-+r+_binary64_10581`
6×	`associate-*l/_binary64_10592` `sum-log_binary64_10740` `cancel-sign-sub-inv_binary64_10615` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `distribute-rgt-in_binary64_10599` `distribute-lft-out--_binary64_10601` `distribute-lft-in_binary64_10598` `flip3--_binary64_10653` `flip--_binary64_10624`
5×	`associate-+l-_binary64_10584` `associate-l_binary64_10590`
4×	`frac-add_binary64_10657` `flip-+_binary64_10623` `log-div_binary64_10736` `flip3-+_binary64_10652` `associate-r_binary64_10589` `diff-log_binary64_10741`
2×	`difference-of-squares_binary64_10618` `sub-neg_binary64_10642` `+-commutative_binary64_10579` `associate--l+_binary64_10586` `associate--l-_binary64_10587`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

Counts

4 → 106

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series1.4s (11.6%)

Counts

4 → 65

Calls

4 calls:

735.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
294.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
163.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
162.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

Compiler

Compiled 1996 to 1800 computations (9.8% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5001	3267

prune194.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	7	172

Merged error: 0.0b

Counts

172 → 7

Compiler

Compiled 3707 to 1364 computations (63.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_10649`
25×	`log-prod_binary64_10735`
20×	`add-sqr-sqrt_binary64_10671`
16×	`add-cube-cbrt_binary64_10684`
13×	`add-log-exp_binary64_10688` `pow1_binary64_10710` `distribute-lft-out_binary64_10600`
12×	`associate--l+_binary64_10586`
11×	`associate-+r+_binary64_10581`
9×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
7×	`log-pow_binary64_10738` `sum-log_binary64_10740` `associate-+l+_binary64_10582`
6×	`cancel-sign-sub-inv_binary64_10615` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
5×	`associate-l_binary64_10590`
4×	`associate-r_binary64_10589`
3×	`flip-+_binary64_10623` `flip3-+_binary64_10652` `diff-log_binary64_10741` `associate-+r-_binary64_10583`
2×	`associate-+l-_binary64_10584` `associate-*l/_binary64_10592` `sub-neg_binary64_10642` `+-commutative_binary64_10579` `flip3--_binary64_10653` `log-div_binary64_10736` `flip--_binary64_10624`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `distribute-lft-out--_binary64_10601`

Counts

4 → 104

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
10.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
8.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series1.7s (14.4%)

Counts

4 → 58

Calls

4 calls:

735.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
497.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
270.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
173.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

Compiler

Compiled 1742 to 1534 computations (11.9% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5027	2980

prune156.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	162	7	169

Merged error: 0.0b

Counts

169 → 7

Compiler

Compiled 3377 to 1508 computations (55.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t))
0.1b	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite60.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_10649` `log-prod_binary64_10735`
29×	`add-sqr-sqrt_binary64_10671`
21×	`add-cube-cbrt_binary64_10684`
16×	`pow1_binary64_10710` `distribute-rgt-in_binary64_10599` `associate-+l+_binary64_10582` `distribute-lft-in_binary64_10598`
12×	`sqrt-prod_binary64_10665`
11×	`add-log-exp_binary64_10688` `associate-r_binary64_10589` `associate-l_binary64_10590`
10×	`log-pow_binary64_10738`
9×	`cancel-sign-sub-inv_binary64_10615`
8×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `associate-+r+_binary64_10581`
6×	`associate-*l/_binary64_10592` `flip3--_binary64_10653` `flip--_binary64_10624`
5×	`sum-log_binary64_10740` `distribute-lft-out_binary64_10600`
4×	`frac-add_binary64_10657`
3×	`sub-neg_binary64_10642` `flip-+_binary64_10623` `flip3-+_binary64_10652`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-+l-_binary64_10584` `pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `sqrt-pow1_binary64_10667` `pow1/2_binary64_10729` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `-commutative_binary64_10580` `distribute-lft-out--_binary64_10601` `log-div_binary64_10736` `associate-r/_binary64_10591` `diff-log_binary64_10741`
1×	`associate--l+_binary64_10586` `associate-+r-_binary64_10583`

Counts

4 → 129

Calls

4 calls:

18.0ms	(+.f64 (*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t))
11.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
8.0ms	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series1.0s (8.8%)

Counts

4 → 49

Calls

4 calls:

671.0ms	(+.f64 (*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t))
178.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
86.0ms	(*.f64 (log.f64 (sqrt.f64 t)) (-.f64 a 1/2))
83.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))

Compiler

Compiled 2517 to 1961 computations (22.1% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4966	3605
1	4966	3605

prune246.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	176	9	185

Merged error: 0.0b

Counts

185 → 9

Compiler

Compiled 5688 to 2218 computations (61% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 a 1/2) (log.f64 (fabs.f64 (cbrt.f64 t)))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 (cbrt.f64 t)))))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`log-prod_binary64_10735`
22×	`*-un-lft-identity_binary64_10649`
21×	`associate-+r+_binary64_10581`
16×	`add-sqr-sqrt_binary64_10671` `add-cube-cbrt_binary64_10684`
12×	`cbrt-prod_binary64_10680` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `sqrt-prod_binary64_10665`
10×	`associate-+l+_binary64_10582`
8×	`associate-*l/_binary64_10592` `pow1_binary64_10710`
6×	`add-log-exp_binary64_10688` `distribute-lft-out_binary64_10600`
4×	`log-pow_binary64_10738` `frac-add_binary64_10657` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624`
3×	`flip-+_binary64_10623` `flip3-+_binary64_10652`
2×	`associate-+l-_binary64_10584` `sum-log_binary64_10740` `+-commutative_binary64_10579` `pow1/3_binary64_10731` `log-div_binary64_10736`

Counts

4 → 86

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 a 1/2) (log.f64 (fabs.f64 (cbrt.f64 t)))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 (cbrt.f64 t)))))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series1.1s (9.7%)

Counts

4 → 26

Calls

4 calls:

727.0ms	(+.f64 (.f64 (-.f64 a 1/2) (log.f64 (fabs.f64 (cbrt.f64 t)))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 (cbrt.f64 t)))))
181.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
113.0ms	(cbrt.f64 t)
103.0ms	(cbrt.f64 t)

Compiler

Compiled 1915 to 1630 computations (14.9% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	2003
1	4973	2003

prune174.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	112	9	121

Merged error: 0b

Counts

121 → 9

Compiler

Compiled 4471 to 1774 computations (60.3% saved)

regimes1.6s (13.7%)

Compiler: Compiled 15920 to 12591 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms (0%)

sample2.8s (24.4%)

Algorithm

1×

intervals

Results

652.0ms	8000×	body	128	valid
314.0ms	4319×	body	128	nan
2.0ms	31×	body	128	invalid

Compiler

Compiled 1489 to 1182 computations (20.6% saved)

Details

analyze385.0ms (3.3%)

sample43.0ms (0.4%)

simplify239.0ms (2.1%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite52.0ms (0.4%)

series1.4s (11.6%)

simplify78.0ms (0.7%)

prune194.0ms (1.7%)

localize17.0ms (0.1%)

rewrite50.0ms (0.4%)

series1.7s (14.4%)

simplify75.0ms (0.6%)

prune156.0ms (1.3%)

localize19.0ms (0.2%)

rewrite60.0ms (0.5%)

series1.0s (8.8%)

simplify95.0ms (0.8%)

prune246.0ms (2.1%)

localize31.0ms (0.3%)

rewrite35.0ms (0.3%)

series1.1s (9.7%)

simplify68.0ms (0.6%)

prune174.0ms (1.5%)

regimes1.6s (13.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (24.4%)

Profiling