Details

analyze320.0ms (5.5%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

30.0ms	132×	body	8192	exit
7.0ms	197×	body	128	valid
3.0ms	27×	body	512	valid
2.0ms	30×	body	256	valid
0.0ms	2×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify244.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4886	18
1	4886	18

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: 16.2b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
5.5b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite50.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_4121`
48×	`add-sqr-sqrt_binary64_4142`
38×	`times-frac_binary64_4127`
23×	`add-cube-cbrt_binary64_4153`
10×	`difference-of-squares_binary64_4090`
9×	`associate-/l*_binary64_4068`
8×	`distribute-lft-out_binary64_4074`
7×	`associate-/r*_binary64_4067` `add-cbrt-cube_binary64_4154`
6×	`add-exp-log_binary64_4156`
5×	`add-log-exp_binary64_4157` `distribute-lft-out--_binary64_4075`
3×	`pow1_binary64_4179`
2×	`div-exp_binary64_4169` `div-inv_binary64_4118` `associate-/r/_binary64_4069` `cbrt-undiv_binary64_4152` `associate-/l/_binary64_4070` `flip-+_binary64_4095` `frac-2neg_binary64_4132` `div-sub_binary64_4126` `flip3-+_binary64_4124` `clear-num_binary64_4120`
1×	`+-commutative_binary64_4053` `sum-log_binary64_4209` `flip--_binary64_4096` `associate-+r-_binary64_4057` `flip3--_binary64_4125`

Counts

3 → 91

Calls

3 calls:

21.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
14.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

series245.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
82.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
68.0ms	(/.f64 x (exp.f64 wj))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5056	2095

prune119.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Merged error: 0.2b

Counts

102 → 7

Compiler

Compiled 2164 to 893 computations (58.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_4142`
3×	`associate-l_binary64_4064` `associate-r_binary64_4063` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121` `pow1_binary64_4179`
2×	`associate-*r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `distribute-lft-in_binary64_4072` `flip-+_binary64_4095` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `flip3-+_binary64_4124` `distribute-rgt-in_binary64_4073`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

series65.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5340	316

prune37.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	23	9	32

Merged error: 0.2b

Counts

32 → 9

Compiler

Compiled 570 to 344 computations (39.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4149`
23×	`add-sqr-sqrt_binary64_4142`
18×	`cbrt-div_binary64_4150`
15×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
11×	`pow1_binary64_4179`
9×	`pow1/3_binary64_4200` `flip-+_binary64_4095` `flip3-+_binary64_4124`
6×	`associate-l_binary64_4064` `associate-r_binary64_4063` `add-exp-log_binary64_4156` `swap-sqr_binary64_4088`
4×	`add-log-exp_binary64_4157` `unswap-sqr_binary64_4089` `add-cbrt-cube_binary64_4154` `frac-times_binary64_4131`
2×	`pow-prod-up_binary64_4188` `pow-sqr_binary64_4094` `pow-prod-down_binary64_4189` `associate-l/_binary64_4066` `associate-r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `pow-plus_binary64_4181` `prod-exp_binary64_4167` `*-commutative_binary64_4054` `pow2_binary64_4199`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

series930.0ms (16%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
232.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
228.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
223.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4834	1829
1	4834	1829

prune166.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	97	11	108

Merged error: 0.2b

Counts

108 → 11

Compiler

Compiled 3232 to 2225 computations (31.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 wj (*.f64 x -2)))) 5)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_4149`
11×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
9×	`unpow-prod-down_binary64_4197`
6×	`cbrt-div_binary64_4150`
5×	`add-exp-log_binary64_4156` `pow1_binary64_4179`
4×	`add-log-exp_binary64_4157` `pow1/3_binary64_4200` `add-cbrt-cube_binary64_4154`
3×	`flip-+_binary64_4095` `flip3-+_binary64_4124` `pow-unpow_binary64_4195`
2×	`pow-pow_binary64_4190`
1×	`pow-to-exp_binary64_4187` `pow-exp_binary64_4186` `sqr-pow_binary64_4093`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 wj (*.f64 x -2)))) 5)
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

series1.3s (21.8%)

Counts

4 → 12

Calls

4 calls:

593.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 wj (*.f64 x -2)))) 5)
232.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
230.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
211.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4886	1338
1	4886	1338

prune135.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	76	10	86

Merged error: 0.2b

Counts

86 → 10

Compiler

Compiled 2593 to 1897 computations (26.8% saved)

regimes51.0ms (0.9%)

Compiler: Compiled 560 to 362 computations (35.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.8s (30.1%)

Algorithm

1×

intervals

Results

832.0ms	3734×	body	8192	exit
265.0ms	6515×	body	128	valid
87.0ms	718×	body	512	valid
61.0ms	738×	body	256	valid
5.0ms	29×	body	1024	valid
4.0ms	77×	body	128	invalid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 321 to 206 computations (35.8% saved)

Details

analyze320.0ms (5.5%)

sample54.0ms (0.9%)

simplify244.0ms (4.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite50.0ms (0.9%)

series245.0ms (4.2%)

simplify55.0ms (0.9%)

prune119.0ms (2%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series65.0ms (1.1%)

simplify59.0ms (1%)

prune37.0ms (0.6%)

localize9.0ms (0.2%)

rewrite31.0ms (0.5%)

series930.0ms (16%)

simplify96.0ms (1.6%)

prune166.0ms (2.8%)

localize13.0ms (0.2%)

rewrite23.0ms (0.4%)

series1.3s (21.8%)

simplify75.0ms (1.3%)

prune135.0ms (2.3%)

regimes51.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (30.1%)

Profiling