Details

analyze327.0ms (11.1%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	245×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	17×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify164.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_16591` `add-sqr-sqrt_binary64_16613`
4×	`add-cube-cbrt_binary64_16626` `pow1_binary64_16652` `associate-r_binary64_16531` `add-log-exp_binary64_16630` `add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
3×	`associate-l_binary64_16532`
2×	`associate-+l+_binary64_16524` `distribute-rgt-in_binary64_16541` `flip3-+_binary64_16594` `distribute-lft-in_binary64_16540` `associate-*r/_binary64_16533` `flip-+_binary64_16565`
1×	`prod-exp_binary64_16640` `+-commutative_binary64_16521` `sum-log_binary64_16682` `*-commutative_binary64_16522` `distribute-lft-out_binary64_16542` `pow-prod-down_binary64_16662` `unswap-sqr_binary64_16559` `cbrt-unprod_binary64_16624`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series107.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
52.0ms	(*.f64 x (+.f64 y z))

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4998	518
1	4998	518

prune62.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

Compiler

Compiled 1131 to 615 computations (45.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_16591` `add-sqr-sqrt_binary64_16613`
4×	`add-cube-cbrt_binary64_16626` `pow1_binary64_16652` `associate-r_binary64_16531` `add-log-exp_binary64_16630` `add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
3×	`associate-l_binary64_16532`
2×	`associate-+r+_binary64_16523` `distribute-rgt-in_binary64_16541` `flip3-+_binary64_16594` `distribute-lft-in_binary64_16540` `associate-*r/_binary64_16533` `flip-+_binary64_16565`
1×	`prod-exp_binary64_16640` `+-commutative_binary64_16521` `sum-log_binary64_16682` `*-commutative_binary64_16522` `distribute-lft-out_binary64_16542` `pow-prod-down_binary64_16662` `unswap-sqr_binary64_16559` `cbrt-unprod_binary64_16624`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series106.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
47.0ms	(*.f64 z (+.f64 x 5))

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5063	518

prune87.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	41	6	47

Merged error: 0b

Counts

47 → 6

Compiler

Compiled 1555 to 999 computations (35.8% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
3.6b	(.f64 z (-.f64 (.f64 x x) 25))
7.2b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_16613`
13×	`*-un-lft-identity_binary64_16591`
10×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
9×	`add-cube-cbrt_binary64_16626`
6×	`cancel-sign-sub-inv_binary64_16557`
5×	`associate-/r*_binary64_16535` `times-frac_binary64_16597` `pow1_binary64_16652` `add-log-exp_binary64_16630`
4×	`distribute-rgt-in_binary64_16541` `distribute-lft-in_binary64_16540` `associate-r/_binary64_16533` `associate-r*_binary64_16531`
3×	`flip--_binary64_16566` `associate-l_binary64_16532` `flip3--_binary64_16595` `difference-of-squares_binary64_16560`
2×	`distribute-lft-out--_binary64_16543` `associate-/r/_binary64_16537` `prod-exp_binary64_16640` `associate-/l/_binary64_16538` `sub-neg_binary64_16584` `cbrt-unprod_binary64_16624` `cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
1×	`frac-2neg_binary64_16602` `+-commutative_binary64_16521` `associate-/l_binary64_16536` `sum-log_binary64_16682` `-commutative_binary64_16522` `flip3-+_binary64_16594` `div-inv_binary64_16588` `pow-prod-down_binary64_16662` `clear-num_binary64_16590` `unswap-sqr_binary64_16559` `flip-+_binary64_16565`

Counts

3 → 69

Calls

3 calls:

12.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
8.0ms	(.f64 z (-.f64 (.f64 x x) 25))
8.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))

series356.0ms (12.1%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
136.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
80.0ms	(.f64 z (-.f64 (.f64 x x) 25))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5326	1324

prune96.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	80	4	84

Merged error: 0b

Counts

84 → 4

Compiler

Compiled 1934 to 1092 computations (43.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
8.8b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite75.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_16597`
149×	`add-sqr-sqrt_binary64_16613`
123×	`*-un-lft-identity_binary64_16591`
81×	`add-cube-cbrt_binary64_16626`
47×	`difference-of-squares_binary64_16560`
30×	`associate-/r*_binary64_16535`
21×	`distribute-lft-out--_binary64_16543`
11×	`associate-/r/_binary64_16537`
10×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
8×	`associate-/l*_binary64_16536`
6×	`flip--_binary64_16566` `div-inv_binary64_16588` `flip3--_binary64_16595`
5×	`add-log-exp_binary64_16630`
4×	`cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
3×	`pow1_binary64_16652`
2×	`frac-2neg_binary64_16602` `associate-/l/_binary64_16538` `clear-num_binary64_16590`
1×	`+-commutative_binary64_16521` `sum-log_binary64_16682` `flip3-+_binary64_16594` `flip-+_binary64_16565` `div-sub_binary64_16596`

Counts

3 → 179

Calls

3 calls:

25.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
14.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
10.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

series314.0ms (10.7%)

Counts

3 → 9

Calls

3 calls:

146.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
137.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
31.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4976	5138
1	4976	5138

prune230.0ms (7.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	188	4	192

Merged error: 0b

Counts

192 → 4

Compiler

Compiled 4933 to 2697 computations (45.3% saved)

regimes46.0ms (1.6%)

Compiler: Compiled 264 to 222 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample576.0ms (19.6%)

Algorithm

1×

intervals

Results

227.0ms	7709×	body	128	valid
19.0ms	661×	body	128	invalid
16.0ms	134×	body	1024	valid
7.0ms	95×	body	512	valid
3.0ms	60×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 88 to 75 computations (14.8% saved)

Details

analyze327.0ms (11.1%)

sample18.0ms (0.6%)

simplify164.0ms (5.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.6%)

series107.0ms (3.6%)

simplify70.0ms (2.4%)

prune62.0ms (2.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series106.0ms (3.6%)

simplify72.0ms (2.4%)

prune87.0ms (3%)

localize10.0ms (0.3%)

rewrite34.0ms (1.2%)

series356.0ms (12.1%)

simplify56.0ms (1.9%)

prune96.0ms (3.3%)

localize10.0ms (0.3%)

rewrite75.0ms (2.6%)

series314.0ms (10.7%)

simplify75.0ms (2.6%)

prune230.0ms (7.8%)

regimes46.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample576.0ms (19.6%)

Profiling