Details

analyze423.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5216	32
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	213×	body	128	valid
2.0ms	20×	body	1024	valid
2.0ms	16×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify191.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

22.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
2.6b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite126.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

11.6b

Rules

21×	`*-un-lft-identity_binary64_21561`
17×	`add-sqr-sqrt_binary64_21583`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `cancel-sign-sub-inv_binary64_21527`
9×	`add-cube-cbrt_binary64_21596`
8×	`times-frac_binary64_21567`
6×	`associate-l_binary64_21502`
5×	`pow1_binary64_21622` `add-log-exp_binary64_21600`
4×	`associate-l/_binary64_21504` `associate-/r/_binary64_21507` `associate-/r_binary64_21505` `difference-of-squares_binary64_21530`
3×	`distribute-lft-out_binary64_21512` `flip3--_binary64_21565` `flip--_binary64_21536` `associate-r_binary64_21501`
2×	`prod-exp_binary64_21610` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `cbrt-unprod_binary64_21594` `div-inv_binary64_21558` `associate-/l/_binary64_21508` `flip3-+_binary64_21564` `flip-+_binary64_21535` `distribute-lft-out--_binary64_21513`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-/l_binary64_21506` `diff-log_binary64_21653` `sub-neg_binary64_21554` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `-commutative_binary64_21492`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series345.0ms (7.4%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

128.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
115.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
58.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1482 to 1094 computations (26.2% saved)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5272	1940

prune103.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 1911 to 1152 computations (39.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
2.6b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite142.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_21561`
33×	`add-sqr-sqrt_binary64_21583`
25×	`add-cube-cbrt_binary64_21596` `times-frac_binary64_21567`
18×	`associate-l_binary64_21502`
13×	`cancel-sign-sub-inv_binary64_21527`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
8×	`distribute-rgt-in_binary64_21511` `associate--r+_binary64_21497` `distribute-lft-in_binary64_21510`
7×	`distribute-lft-out_binary64_21512`
6×	`associate-r_binary64_21501`
5×	`add-log-exp_binary64_21600` `pow1_binary64_21622` `sub-neg_binary64_21554`
4×	`associate-/r/_binary64_21507` `associate-/r*_binary64_21505`
3×	`flip3--_binary64_21565` `flip--_binary64_21536` `associate-/l*_binary64_21506`
2×	`div-exp_binary64_21612` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `cbrt-undiv_binary64_21595` `frac-times_binary64_21571` `unswap-sqr_binary64_21529` `associate-*r/_binary64_21503` `div-inv_binary64_21558` `flip3-+_binary64_21564` `flip-+_binary64_21535` `difference-of-squares_binary64_21530`
1×	`diff-log_binary64_21653` `pow-prod-down_binary64_21632` `associate-l/_binary64_21504` `distribute-lft-out--_binary64_21513` `-commutative_binary64_21492` `frac-2neg_binary64_21572` `clear-num_binary64_21560`

Counts

3 → 105

Calls

3 calls:

15.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
6.0ms	(/.f64 y (+.f64 y 1))
5.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series326.0ms (6.9%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

142.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
113.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
34.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1562 to 1186 computations (24.1% saved)

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4963	2490
1	4963	2490

prune135.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Error

0.0b

Counts

157 → 4

Compiler

Compiled 2616 to 1762 computations (32.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.5b	(/.f64 (*.f64 y x) (+.f64 y 1))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_21561`
6×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
4×	`times-frac_binary64_21567` `associate-/r*_binary64_21505`
3×	`add-cube-cbrt_binary64_21596` `add-sqr-sqrt_binary64_21583`
2×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `distribute-lft-out_binary64_21512` `associate-/r/_binary64_21507`
1×	`pow1_binary64_21622` `prod-exp_binary64_21610` `add-log-exp_binary64_21600` `cbrt-unprod_binary64_21594` `frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `flip3-+_binary64_21564` `flip-+_binary64_21535` `associate-/l*_binary64_21506`

Counts

1 → 25

Calls

1 calls:

7.0ms

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

Compiler

Compiled 417 to 280 computations (32.9% saved)

series92.0ms (2%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

80.0ms

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

Compiler

Compiled 394 to 287 computations (27.2% saved)

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5117	486

prune30.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Error

0.0b

Counts

44 → 4

Compiler

Compiled 571 to 353 computations (38.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (-.f64 y (.f64 y y)) (-.f64 1 x))

rewrite50.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_21583`
9×	`*-un-lft-identity_binary64_21561`
6×	`flip3--_binary64_21565` `flip--_binary64_21536` `cancel-sign-sub-inv_binary64_21527` `associate-r_binary64_21501`
5×	`add-cube-cbrt_binary64_21596` `associate-l_binary64_21502`
4×	`frac-times_binary64_21571` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
3×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `difference-of-squares_binary64_21530`
2×	`sub-neg_binary64_21554` `associate-l/_binary64_21504` `associate-r/_binary64_21503`
1×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `add-log-exp_binary64_21600` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `distribute-rgt-out--_binary64_21515` `distribute-lft-out--_binary64_21513` `*-commutative_binary64_21492`

Counts

1 → 39

Calls

1 calls:

10.0ms

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

Compiler

Compiled 853 to 394 computations (53.8% saved)

series131.0ms (2.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

122.0ms

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

Compiler

Compiled 422 to 319 computations (24.4% saved)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4965	838
1	4965	838

prune38.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	51	4	55

Error

0.0b

Counts

55 → 4

Compiler

Compiled 827 to 386 computations (53.3% saved)

regimes648.0ms (13.8%)

Accuracy

Total 0.1b remaining (71.7%)

Threshold costs 0.1b (71.7%)

Compiler

Compiled 4864 to 4062 computations (16.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	261	103
1	261	103

end0.0ms (0%)

sample1.5s (32.8%)

Algorithm

1×

intervals

Results

205.0ms	6319×	body	128	valid
75.0ms	582×	body	1024	valid
64.0ms	687×	body	512	valid
24.0ms	406×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 1011 to 828 computations (18.1% saved)

Details

analyze423.0ms (9%)

sample25.0ms (0.5%)

simplify191.0ms (4.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite126.0ms (2.7%)

series345.0ms (7.4%)

simplify70.0ms (1.5%)

prune103.0ms (2.2%)

localize10.0ms (0.2%)

rewrite142.0ms (3%)

series326.0ms (6.9%)

simplify78.0ms (1.7%)

prune135.0ms (2.9%)

localize7.0ms (0.1%)

rewrite31.0ms (0.7%)

series92.0ms (2%)

simplify60.0ms (1.3%)

prune30.0ms (0.6%)

localize7.0ms (0.1%)

rewrite50.0ms (1.1%)

series131.0ms (2.8%)

simplify65.0ms (1.4%)

prune38.0ms (0.8%)

regimes648.0ms (13.8%)

bsearch2.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.5s (32.8%)

Profiling