Details

analyze3.5s (27.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14
3.1%	96.6%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 24 to 24 computations (0% saved)

sample1.7s (13.1%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
12.0ms	270×	body	128	invalid

Compiler

Compiled 4619 to 6923 computations (-49.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune3.0ms (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 22 to 22 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_4550`
4×	`sum-log_binary64_4602`
2×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `*-un-lft-identity_binary64_4511` `flip-+_binary64_4485` `+-commutative_binary64_4441`
1×	`associate-+l+_binary64_4444`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 510 to 94 computations (81.6% saved)

series668.0ms (5.2%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

439.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
195.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5019	1056

prune58.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 989 to 116 computations (88.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 a b))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))
0.5b	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
0.5b	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))

rewrite160.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_4533`
24×	`sqrt-prod_binary64_4527`
21×	`pow1_binary64_4572`
16×	`sqrt-div_binary64_4528`
14×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
10×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529`
9×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
8×	`swap-sqr_binary64_4478`
6×	`add-log-exp_binary64_4550` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-l_binary64_4452` `associate-r_binary64_4451`
5×	`pow-prod-up_binary64_4581`
4×	`rem-sqrt-square_binary64_4524` `frac-times_binary64_4521` `unswap-sqr_binary64_4479`
3×	`pow-prod-down_binary64_4582` `pow-sqr_binary64_4484`
2×	`associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sqrt-unprod_binary64_4531` `sqr-abs_binary64_4526` `rem-square-sqrt_binary64_4523` `*-commutative_binary64_4442` `sum-log_binary64_4602` `+-commutative_binary64_4441`

Counts

4 → 99

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
5.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
4.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 4013 to 350 computations (91.3% saved)

series1.4s (11.3%)

Error

0.0b

Counts

4 → 112

Calls

4 calls:

440.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))
360.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
345.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
210.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 6658 to 3406 computations (48.8% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5058	3964

prune191.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	211	3	214

Error

0.0b

Counts

214 → 3

Compiler

Compiled 5082 to 530 computations (89.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
0.0b	(+.f64 (.f64 t z) (.f64 a b))
0.3b	(pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3)
35.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3))

rewrite112.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_4542`
11×	`add-log-exp_binary64_4550`
10×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
6×	`unpow-prod-down_binary64_4590` `cube-prod_binary64_4539`
5×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
4×	`flip3-+_binary64_4514` `cube-div_binary64_4540` `flip-+_binary64_4485` `sum-log_binary64_4602`
3×	`pow-unpow_binary64_4588`
2×	`cbrt-div_binary64_4543` `unpow3_binary64_4577` `cube-mult_binary64_4541` `sqr-pow_binary64_4483` `+-commutative_binary64_4441`
1×	`pow1/3_binary64_4593` `rem-cbrt-cube_binary64_4535` `pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `rem-cube-cbrt_binary64_4534` `associate-+r+_binary64_4443`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3))
7.0ms	(pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3)
7.0ms	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
4.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 1985 to 482 computations (75.7% saved)

series2.7s (21.4%)

Error

0.0b

Counts

4 → 168

Calls

4 calls:

1.3s	(pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3)
423.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))) 3))
420.0ms	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
220.0ms	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 14118 to 9828 computations (30.4% saved)

simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5158	10498

prune280.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	240	3	243

Error

0.0b

Counts

243 → 3

Compiler

Compiled 7842 to 1629 computations (79.2% saved)

regimes383.0ms (3%)

Accuracy

Total 0.0b remaining (28.8%)

Threshold costs 0.0b (28.8%)

Compiler

Compiled 2717 to 2574 computations (5.3% saved)

bsearch0.0ms (0%)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample1.2s (9.3%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
147.0ms	3990×	body	128	invalid

Compiler

Compiled 264 to 249 computations (5.7% saved)

Details

analyze3.5s (27.1%)

sample1.7s (13.1%)

simplify12.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite35.0ms (0.3%)

series668.0ms (5.2%)

simplify69.0ms (0.5%)

prune58.0ms (0.5%)

localize11.0ms (0.1%)

rewrite160.0ms (1.3%)

series1.4s (11.3%)

simplify92.0ms (0.7%)

prune191.0ms (1.5%)

localize11.0ms (0.1%)

rewrite112.0ms (0.9%)

series2.7s (21.4%)

simplify119.0ms (0.9%)

prune280.0ms (2.2%)

regimes383.0ms (3%)

bsearch0.0ms (0%)

simplify50.0ms (0.4%)

end0.0ms (0%)

sample1.2s (9.3%)

Profiling