Details

analyze133.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify170.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune4.0ms (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: 9.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.0b	(/.f64 x (*.f64 y y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
3×	`associate-/l_binary64_10253` `add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `times-frac_binary64_10314` `-un-lft-identity_binary64_10308`
2×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342`
1×	`cbrt-unprod_binary64_10341` `associate-/r*_binary64_10252` `prod-exp_binary64_10357` `clear-num_binary64_10307` `add-log-exp_binary64_10347` `pow1_binary64_10369` `div-inv_binary64_10305` `frac-2neg_binary64_10319`

Counts

1 → 21

Calls

1 calls:

9.0ms

(/.f64 x (*.f64 y y))

series34.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(/.f64 x (*.f64 y y))

simplify140.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	6109	223

prune48.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

Compiler

Compiled 239 to 88 computations (63.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_10314`
43×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
13×	`associate-/l*_binary64_10253`
6×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
5×	`div-inv_binary64_10305`
3×	`associate-/r*_binary64_10252` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342`
1×	`associate-/l/_binary64_10255` `clear-num_binary64_10307` `add-log-exp_binary64_10347` `pow1_binary64_10369` `frac-2neg_binary64_10319`

Counts

1 → 70

Calls

1 calls:

12.0ms

(/.f64 (/.f64 x y) y)

series35.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(/.f64 (/.f64 x y) y)

simplify172.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4763	1069
1	4763	1069

prune107.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	71	9	80

Merged error: 0b

Counts

80 → 9

Compiler

Compiled 933 to 318 computations (65.9% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_10330`
25×	`times-frac_binary64_10314`
23×	`add-exp-log_binary64_10346`
17×	`*-un-lft-identity_binary64_10308`
15×	`add-cube-cbrt_binary64_10343`
13×	`associate-r_binary64_10248` `associate-l_binary64_10249` `add-cbrt-cube_binary64_10344`
8×	`prod-exp_binary64_10357` `div-exp_binary64_10359`
6×	`unswap-sqr_binary64_10276`
4×	`cbrt-unprod_binary64_10341` `cbrt-undiv_binary64_10342`
3×	`pow1_binary64_10369`
2×	`1-exp_binary64_10352` `rec-exp_binary64_10358` `div-inv_binary64_10305`
1×	`associate-r/_binary64_10250` `add-log-exp_binary64_10347` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `frac-times_binary64_10318` `*-commutative_binary64_10239`

Counts

1 → 56

Calls

1 calls:

27.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

series29.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

simplify185.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	5798	614

prune68.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	59	9	68

Merged error: 0b

Counts

68 → 9

Compiler

Compiled 676 to 252 computations (62.7% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
0.5b	(pow.f64 (cbrt.f64 y) 2)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite200.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Rules

281×	`times-frac_binary64_10314`
280×	`add-sqr-sqrt_binary64_10330`
124×	`*-un-lft-identity_binary64_10308`
99×	`add-cube-cbrt_binary64_10343`
95×	`add-exp-log_binary64_10346`
89×	`cbrt-prod_binary64_10339`
82×	`associate-r_binary64_10248`
55×	`unswap-sqr_binary64_10276`
48×	`div-exp_binary64_10359`
44×	`unpow-prod-down_binary64_10387`
37×	`associate-l_binary64_10249`
30×	`prod-exp_binary64_10357`
21×	`add-cbrt-cube_binary64_10344`
14×	`unpow2_binary64_10373` `sqr-pow_binary64_10280`
10×	`pow-to-exp_binary64_10377` `pow-exp_binary64_10376`
9×	`1-exp_binary64_10352` `rec-exp_binary64_10358` `cbrt-undiv_binary64_10342`
8×	`div-inv_binary64_10305`
7×	`pow1_binary64_10369`
6×	`cbrt-unprod_binary64_10341`
4×	`add-log-exp_binary64_10347`
3×	`pow1/3_binary64_10390` `pow-unpow_binary64_10385`
2×	`pow-pow_binary64_10380`
1×	`associate-r/_binary64_10250` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `frac-times_binary64_10318` `*-commutative_binary64_10239`

Counts

4 → 266

Calls

4 calls:

128.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
5.0ms	(pow.f64 (cbrt.f64 y) 2)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series561.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(pow.f64 (cbrt.f64 y) 2)
165.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 y)
74.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))

simplify194.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5024	4969

prune409.0ms (10%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	278	9	287

Merged error: 0b

Counts

287 → 9

Compiler

Compiled 4981 to 1793 computations (64% saved)

regimes278.0ms (6.8%)

Compiler: Compiled 1207 to 761 computations (37% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end0.0ms (0%)

sample1.2s (28.5%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
15.0ms	422×	body	128	invalid

Compiler

Compiled 281 to 181 computations (35.6% saved)

Details

analyze133.0ms (3.3%)

sample28.0ms (0.7%)

simplify170.0ms (4.2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite12.0ms (0.3%)

series34.0ms (0.8%)

simplify140.0ms (3.4%)

prune48.0ms (1.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series35.0ms (0.9%)

simplify172.0ms (4.2%)

prune107.0ms (2.6%)

localize9.0ms (0.2%)

rewrite36.0ms (0.9%)

series29.0ms (0.7%)

simplify185.0ms (4.5%)

prune68.0ms (1.7%)

localize21.0ms (0.5%)

rewrite200.0ms (4.9%)

series561.0ms (13.8%)

simplify194.0ms (4.8%)

prune409.0ms (10%)

regimes278.0ms (6.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.5%)

Profiling