Details

analyze702.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	40
1	264	40
0	3	3
1	3	3

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample516.0ms (2.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	76×	body	128	invalid

Compiler

Compiled 2671 to 3670 computations (-37.4% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	104	10
1	104	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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_419`
6×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`add-sqr-sqrt_binary64_441`
4×	`frac-times_binary64_429` `associate-l_binary64_360` `associate-r_binary64_359`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361` `distribute-lft-out_binary64_370`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `*-commutative_binary64_350`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

Compiler

Compiled 492 to 257 computations (47.8% saved)

series173.0ms (0.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

162.0ms

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

Compiler

Compiled 383 to 228 computations (40.5% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4982	622
1	4982	622

prune38.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Compiler

Compiled 563 to 277 computations (50.8% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite53.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64_419`
7×	`add-log-exp_binary64_458`
6×	`add-sqr-sqrt_binary64_441` `flip3-+_binary64_422` `associate-*r/_binary64_361` `flip-+_binary64_393`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `frac-add_binary64_427` `associate-r_binary64_359`
3×	`sum-log_binary64_510` `associate-l_binary64_360`
2×	`distribute-rgt-out_binary64_372` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `associate-+l+_binary64_352` `distribute-lft-in_binary64_368`
1×	`distribute-lft1-in_binary64_374` `associate-+r+_binary64_351` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 822 to 198 computations (75.9% saved)

series327.0ms (1.8%)

Error

Counts

2 → 33

Calls

2 calls:

204.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
108.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 746 to 401 computations (46.2% saved)

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4774	902
1	4774	902

prune49.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Error

Counts

81 → 3

Compiler

Compiled 932 to 262 computations (71.9% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 z 1) (+.f64 y x))
0.0b	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))
0.0b	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))
0.3b	(.f64 (sqrt.f64 (.f64 (+.f64 z 1) (+.f64 y x))) (sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))

rewrite413.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

160×	`sqrt-div_binary64_436`
148×	`frac-times_binary64_429`
126×	`flip3-+_binary64_422` `flip-+_binary64_393`
61×	`pow1_binary64_480`
50×	`associate-l/_binary64_362` `associate-r/_binary64_361`
32×	`sqrt-pow1_binary64_437`
23×	`pow-prod-down_binary64_490`
14×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
12×	`pow1/2_binary64_499`
10×	`pow-prod-up_binary64_489` `add-cube-cbrt_binary64_454`
8×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-l_binary64_360` `associate-r_binary64_359`
6×	`pow-sqr_binary64_392` `sqrt-prod_binary64_435`
4×	`add-log-exp_binary64_458` `swap-sqr_binary64_386`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `distribute-lft-out_binary64_370`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `sqrt-unprod_binary64_439` `rem-square-sqrt_binary64_431` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 197

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 z 1) (+.f64 y x))) (sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))
9.0ms	(*.f64 (+.f64 z 1) (+.f64 y x))
7.0ms	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))
7.0ms	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))

Compiler

Compiled 7036 to 3791 computations (46.1% saved)

series679.0ms (3.7%)

Error

Counts

4 → 62

Calls

4 calls:

176.0ms	(*.f64 (+.f64 z 1) (+.f64 y x))
157.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 z 1) (+.f64 y x))) (sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))
153.0ms	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))
138.0ms	(sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))

Compiler

Compiled 3178 to 2108 computations (33.7% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5103	7224

prune346.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	259	3	262

Error

Counts

262 → 3

Compiler

Compiled 6663 to 3346 computations (49.8% saved)

regimes176.0ms (1%)

Accuracy

Total 0.0b remaining (87%)

Threshold costs 0.0b (87%)

Compiler

Compiled 1142 to 980 computations (14.2% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

Remove

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample14.4s (79.2%)

Algorithm

1×

intervals

Results

177.0ms	7996×	body	128	valid
96.0ms	2111×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 81088 to 111394 computations (-37.4% saved)

Details

analyze702.0ms (3.9%)

sample516.0ms (2.8%)

simplify9.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite40.0ms (0.2%)

series173.0ms (0.9%)

simplify69.0ms (0.4%)

prune38.0ms (0.2%)

localize5.0ms (0%)

rewrite53.0ms (0.3%)

series327.0ms (1.8%)

simplify61.0ms (0.3%)

prune49.0ms (0.3%)

localize8.0ms (0%)

rewrite413.0ms (2.3%)

series679.0ms (3.7%)

simplify114.0ms (0.6%)

prune346.0ms (1.9%)

regimes176.0ms (1%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample14.4s (79.2%)

Profiling