Details

analyze233.0ms (4.1%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

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

8.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.7b	(.f64 y (+.f64 1 (.f64 z z)))
5.6b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10996`
26×	`add-exp-log_binary64_11028`
20×	`add-sqr-sqrt_binary64_11012`
18×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
16×	`add-cbrt-cube_binary64_11026`
13×	`associate-/l*_binary64_10935`
12×	`div-exp_binary64_11041`
6×	`cbrt-undiv_binary64_11024`
5×	`prod-exp_binary64_11039`
4×	`pow1_binary64_11051` `associate-*r/_binary64_10932`
3×	`associate-r_binary64_10930` `cbrt-unprod_binary64_11023` `div-inv_binary64_10987` `associate-l_binary64_10931`
2×	`add-log-exp_binary64_11029` `1-exp_binary64_11034` `flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-/r/_binary64_10936` `rec-exp_binary64_11040`
1×	`associate-/l/_binary64_10937` `clear-num_binary64_10989` `unswap-sqr_binary64_10958` `associate-/r_binary64_10934` `distribute-rgt-in_binary64_10940` `frac-2neg_binary64_11001` `-commutative_binary64_10921` `pow-prod-down_binary64_11061` `distribute-lft-in_binary64_10939`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series283.0ms (5%)

Counts

2 → 25

Calls

2 calls:

212.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
71.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 518 to 464 computations (10.4% saved)

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4965	1732
1	4965	1732

prune106.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Error

5.3b

Counts

100 → 9

Compiler

Compiled 1714 to 1025 computations (40.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.2b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
4.0b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite54.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_10996`
126×	`add-sqr-sqrt_binary64_11012`
93×	`*-un-lft-identity_binary64_10990`
86×	`add-cube-cbrt_binary64_11025`
76×	`add-exp-log_binary64_11028`
45×	`associate-r_binary64_10930`
40×	`div-exp_binary64_11041`
28×	`add-cbrt-cube_binary64_11026`
20×	`prod-exp_binary64_11039`
13×	`associate-/l_binary64_10935` `associate-l*_binary64_10931`
12×	`unswap-sqr_binary64_10958` `cbrt-undiv_binary64_11024`
10×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `div-inv_binary64_10987`
6×	`cbrt-unprod_binary64_11023`
4×	`pow1_binary64_11051` `associate-/r/_binary64_10936`
3×	`associate-/r*_binary64_10934`
2×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964`
1×	`associate-/l/_binary64_10937` `frac-times_binary64_11000` `associate-r/_binary64_10932` `clear-num_binary64_10989` `frac-2neg_binary64_11001` `-commutative_binary64_10921` `associate-*l/_binary64_10933` `pow-prod-down_binary64_11061`

Counts

2 → 182

Calls

2 calls:

27.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series333.0ms (5.8%)

Counts

2 → 29

Calls

2 calls:

218.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
115.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

Compiler

Compiled 664 to 588 computations (11.4% saved)

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4992	4771
1	4992	4771

prune245.0ms (4.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	207	4	211
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	210	10	220

Error

5.3b

Counts

220 → 10

Compiler

Compiled 4561 to 2823 computations (38.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.1b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
4.0b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite66.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_10996`
230×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
58×	`associate-/l*_binary64_10935`
26×	`add-exp-log_binary64_11028`
22×	`div-inv_binary64_10987`
17×	`div-exp_binary64_11041`
16×	`add-cbrt-cube_binary64_11026`
10×	`associate-/r/_binary64_10936`
9×	`cbrt-undiv_binary64_11024`
6×	`associate-/r*_binary64_10934`
5×	`flip3-+_binary64_10993` `flip-+_binary64_10964`
2×	`associate-/l/_binary64_10937` `pow1_binary64_11051` `add-log-exp_binary64_11029` `clear-num_binary64_10989` `1-exp_binary64_11034` `frac-2neg_binary64_11001` `rec-exp_binary64_11040`

Counts

2 → 276

Calls

2 calls:

20.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series323.0ms (5.7%)

Counts

2 → 29

Calls

2 calls:

206.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
117.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

Compiler

Compiled 630 to 554 computations (12.1% saved)

simplify137.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4940	9408
1	4940	9408

prune406.0ms (7.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	302	3	305
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	306	9	315

Error

5.3b

Counts

315 → 9

Compiler

Compiled 7468 to 4240 computations (43.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
3.2b	(.f64 (/.f64 1 y) (/.f64 1 (.f64 x (+.f64 1 (*.f64 z z)))))
3.8b	(.f64 x (+.f64 1 (.f64 z z)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64_11028`
44×	`prod-exp_binary64_11039`
34×	`div-exp_binary64_11041`
31×	`add-cbrt-cube_binary64_11026`
25×	`add-sqr-sqrt_binary64_11012`
17×	`times-frac_binary64_10996` `1-exp_binary64_11034` `rec-exp_binary64_11040` `*-un-lft-identity_binary64_10990`
16×	`add-cube-cbrt_binary64_11025` `associate-l_binary64_10931`
15×	`pow1_binary64_11051`
12×	`associate-r_binary64_10930`
10×	`cbrt-unprod_binary64_11023`
9×	`cbrt-undiv_binary64_11024`
7×	`associate-*r/_binary64_10932` `pow-prod-down_binary64_11061`
6×	`pow-flip_binary64_11064`
4×	`unswap-sqr_binary64_10958` `associate-/r/_binary64_10936`
3×	`add-log-exp_binary64_11029` `associate-/l*_binary64_10935` `flip3-+_binary64_10993` `flip-+_binary64_10964` `div-inv_binary64_10987` `inv-pow_binary64_11075`
2×	`*-commutative_binary64_10921`
1×	`frac-times_binary64_11000` `clear-num_binary64_10989` `associate-/r_binary64_10934` `distribute-rgt-in_binary64_10940` `frac-2neg_binary64_11001` `un-div-inv_binary64_10988` `associate-l/_binary64_10933` `distribute-lft-in_binary64_10939`

Counts

3 → 127

Calls

3 calls:

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

series389.0ms (6.8%)

Counts

3 → 38

Calls

3 calls:

202.0ms	(.f64 (/.f64 1 y) (/.f64 1 (.f64 x (+.f64 1 (*.f64 z z)))))
101.0ms	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
85.0ms	(.f64 x (+.f64 1 (.f64 z z)))

Compiler

Compiled 849 to 768 computations (9.5% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5487	2718

prune141.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	165	9	174

Error

5.3b

Counts

174 → 9

Compiler

Compiled 2678 to 1631 computations (39.1% saved)

regimes796.0ms (14%)

Accuracy

Total 1.1b remaining (19%)

Threshold costs 0b (0%)

Compiler

Compiled 8869 to 7295 computations (17.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	16	32

end0.0ms (0%)

sample1.7s (29.3%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
15.0ms	430×	body	128	invalid

Compiler

Compiled 1152 to 939 computations (18.5% saved)

Details

analyze233.0ms (4.1%)

sample17.0ms (0.3%)

simplify96.0ms (1.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite21.0ms (0.4%)

series283.0ms (5%)

simplify89.0ms (1.6%)

prune106.0ms (1.9%)

localize8.0ms (0.1%)

rewrite54.0ms (0.9%)

series333.0ms (5.8%)

simplify116.0ms (2%)

prune245.0ms (4.3%)

localize8.0ms (0.1%)

rewrite66.0ms (1.2%)

series323.0ms (5.7%)

simplify137.0ms (2.4%)

prune406.0ms (7.1%)

localize8.0ms (0.1%)

rewrite40.0ms (0.7%)

series389.0ms (6.8%)

simplify99.0ms (1.7%)

prune141.0ms (2.5%)

regimes796.0ms (14%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (29.3%)

Profiling