Details

analyze301.0ms (6.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20
0	2	2
1	2	2

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample199.0ms (4.2%)

Algorithm

2×

intervals

Results

12.0ms	512×	body	128	valid
4.0ms	172×	body	128	invalid

Compiler

Compiled 2719 to 3057 computations (-12.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

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

Error

5.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 x (*.f64 y y)) 3)
10.4b	(/.f64 x (*.f64 y y))

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_8284`
7×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `*-un-lft-identity_binary64_8262`
5×	`add-cube-cbrt_binary64_8297`
4×	`add-log-exp_binary64_8301` `times-frac_binary64_8268`
3×	`associate-/l*_binary64_8207` `cancel-sign-sub-inv_binary64_8228`
2×	`pow1_binary64_8323` `div-exp_binary64_8313` `cbrt-undiv_binary64_8296` `difference-of-squares_binary64_8231`
1×	`prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `div-inv_binary64_8259` `associate-/r*_binary64_8206` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237` `distribute-lft-out--_binary64_8214`

Counts

2 → 38

Calls

2 calls:

7.0ms	(-.f64 (/.f64 x (*.f64 y y)) 3)
5.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 515 to 219 computations (57.5% saved)

series226.0ms (4.7%)

Error

4.9b

Counts

2 → 18

Calls

2 calls:

117.0ms	(-.f64 (/.f64 x (*.f64 y y)) 3)
98.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4806	561
1	4806	561

prune47.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 572 to 240 computations (58% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (/.f64 x y) y) 3)
0.2b	(/.f64 (/.f64 x y) y)

rewrite112.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_8268`
54×	`add-sqr-sqrt_binary64_8284`
47×	`*-un-lft-identity_binary64_8262`
45×	`add-cube-cbrt_binary64_8297`
13×	`associate-/l*_binary64_8207`
7×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
5×	`div-inv_binary64_8259`
4×	`add-log-exp_binary64_8301`
3×	`div-exp_binary64_8313` `cbrt-undiv_binary64_8296` `associate-/r*_binary64_8206` `difference-of-squares_binary64_8231` `cancel-sign-sub-inv_binary64_8228`
2×	`pow1_binary64_8323`
1×	`frac-2neg_binary64_8273` `clear-num_binary64_8261` `associate-/l/_binary64_8209` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237` `distribute-lft-out--_binary64_8214`

Counts

2 → 88

Calls

2 calls:

20.0ms	(-.f64 (/.f64 (/.f64 x y) y) 3)
6.0ms	(/.f64 (/.f64 x y) y)

Compiler

Compiled 1439 to 536 computations (62.8% saved)

series232.0ms (4.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

128.0ms	(-.f64 (/.f64 (/.f64 x y) y) 3)
93.0ms	(/.f64 (/.f64 x y) y)

Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5112	1439

prune85.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Error

Counts

111 → 6

Compiler

Compiled 1372 to 564 computations (58.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
0.2b	(/.f64 y (/.f64 x y))
0.7b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite451.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

483×	`times-frac_binary64_8268`
254×	`add-sqr-sqrt_binary64_8284`
237×	`*-un-lft-identity_binary64_8262`
231×	`add-cube-cbrt_binary64_8297`
57×	`associate-/r*_binary64_8206`
29×	`add-exp-log_binary64_8300`
23×	`div-inv_binary64_8259`
18×	`div-exp_binary64_8313`
17×	`add-cbrt-cube_binary64_8298`
9×	`cbrt-undiv_binary64_8296`
7×	`difference-of-squares_binary64_8231`
6×	`associate-/r/_binary64_8208` `associate-/l*_binary64_8207`
5×	`add-log-exp_binary64_8301`
4×	`pow1_binary64_8323`
3×	`1-exp_binary64_8306` `rec-exp_binary64_8312` `cancel-sign-sub-inv_binary64_8228`
2×	`frac-2neg_binary64_8273` `clear-num_binary64_8261` `distribute-lft-out--_binary64_8214`
1×	`inv-pow_binary64_8347` `pow-flip_binary64_8336` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237`

Counts

3 → 297

Calls

3 calls:

52.0ms	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
13.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
7.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 6288 to 2782 computations (55.8% saved)

series345.0ms (7.2%)

Error

Counts

3 → 24

Calls

3 calls:

128.0ms	(-.f64 (/.f64 1 (/.f64 y (/.f64 x y))) 3)
106.0ms	(/.f64 y (/.f64 x y))
97.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))

Compiler

Compiled 450 to 416 computations (7.6% saved)

simplify125.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4895	5523
1	4895	5523

prune302.0ms (6.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	321	6	327

Error

Counts

327 → 6

Compiler

Compiled 5093 to 2221 computations (56.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
0.1b	(*.f64 y (/.f64 y x))
0.7b	(/.f64 1 (*.f64 y (/.f64 y x)))

rewrite105.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-exp-log_binary64_8300`
21×	`add-sqr-sqrt_binary64_8284`
17×	`add-cbrt-cube_binary64_8298` `*-un-lft-identity_binary64_8262`
14×	`add-cube-cbrt_binary64_8297`
13×	`times-frac_binary64_8268` `associate-r_binary64_8202`
10×	`div-exp_binary64_8313`
8×	`pow1_binary64_8323` `prod-exp_binary64_8311`
5×	`add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296`
4×	`cbrt-unprod_binary64_8295`
3×	`1-exp_binary64_8306` `rec-exp_binary64_8312` `div-inv_binary64_8259` `associate-/l_binary64_8207` `associate-l*_binary64_8203` `cancel-sign-sub-inv_binary64_8228`
2×	`pow-prod-down_binary64_8333` `pow-flip_binary64_8336` `associate-*r/_binary64_8204` `unswap-sqr_binary64_8230` `distribute-lft-out--_binary64_8214`
1×	`inv-pow_binary64_8347` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `associate-/r/_binary64_8208` `associate-/r_binary64_8206` `-commutative_binary64_8193` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237` `difference-of-squares_binary64_8231`

Counts

3 → 82

Calls

3 calls:

9.0ms	(*.f64 y (/.f64 y x))
9.0ms	(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
6.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))

Compiler

Compiled 1273 to 633 computations (50.3% saved)

series355.0ms (7.4%)

Error

Counts

3 → 24

Calls

3 calls:

139.0ms	(-.f64 (/.f64 1 (*.f64 y (/.f64 y x))) 3)
107.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))
96.0ms	(*.f64 y (/.f64 y x))

Compiler

Compiled 450 to 416 computations (7.6% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4913	982
1	4913	982

prune74.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	106	6	112

Error

Counts

112 → 6

Compiler

Compiled 1157 to 510 computations (55.9% saved)

regimes363.0ms (7.6%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 3117 to 2286 computations (26.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample1.1s (23.6%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
63.0ms	2677×	body	128	invalid

Compiler

Compiled 565 to 420 computations (25.7% saved)

Details

analyze301.0ms (6.3%)

sample199.0ms (4.2%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite56.0ms (1.2%)

series226.0ms (4.7%)

simplify81.0ms (1.7%)

prune47.0ms (1%)

localize5.0ms (0.1%)

rewrite112.0ms (2.3%)

series232.0ms (4.8%)

simplify83.0ms (1.7%)

prune85.0ms (1.8%)

localize6.0ms (0.1%)

rewrite451.0ms (9.4%)

series345.0ms (7.2%)

simplify125.0ms (2.6%)

prune302.0ms (6.3%)

localize6.0ms (0.1%)

rewrite105.0ms (2.2%)

series355.0ms (7.4%)

simplify78.0ms (1.6%)

prune74.0ms (1.5%)

regimes363.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (23.6%)

Profiling