Details

analyze1.7s (35.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	70
1	314	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14
44.8%	44.4%	10.7%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 16 to 16 computations (0% saved)

sample837.0ms (16.8%)

Algorithm

2×

intervals

Results

14.0ms	512×	body	128	valid
5.0ms	165×	body	128	invalid

Compiler

Compiled 2711 to 4063 computations (-49.9% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	158	10
1	158	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 (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3868`
1×	`diff-log_binary64_3921` `pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `flip3--_binary64_3833` `*-un-lft-identity_binary64_3829` `sub-neg_binary64_3822` `flip--_binary64_3804` `cancel-sign-sub-inv_binary64_3795`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 187 to 46 computations (75.4% saved)

series211.0ms (4.2%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

198.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4946	379
1	4946	379

prune20.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Compiler

Compiled 311 to 50 computations (83.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
1.9b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.9b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

rewrite137.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_3851`
24×	`sqrt-prod_binary64_3845`
21×	`pow1_binary64_3890`
16×	`sqrt-div_binary64_3846`
14×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
10×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
9×	`flip3--_binary64_3833` `flip--_binary64_3804`
8×	`swap-sqr_binary64_3796`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-l_binary64_3770` `associate-r_binary64_3769`
5×	`pow-prod-up_binary64_3899`
4×	`rem-sqrt-square_binary64_3842` `frac-times_binary64_3839` `unswap-sqr_binary64_3797`
3×	`pow-prod-down_binary64_3900` `pow-sqr_binary64_3802`
2×	`associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `sqrt-unprod_binary64_3849` `sqr-abs_binary64_3844` `rem-square-sqrt_binary64_3841` `*-commutative_binary64_3760` `diff-log_binary64_3921` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 2860 to 329 computations (88.5% saved)

series866.0ms (17.4%)

Error

0.0b

Counts

4 → 86

Calls

4 calls:

206.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
201.0ms	(-.f64 (.f64 x y) (.f64 t z))
198.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
197.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3868 to 2042 computations (47.2% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5084	3033

prune138.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	186	2	188

Error

0.0b

Counts

188 → 2

Compiler

Compiled 3520 to 467 computations (86.7% saved)

regimes102.0ms (2%)

Accuracy

Total 0.0b remaining (22.8%)

Threshold costs 0.0b (22.8%)

Compiler

Compiled 475 to 437 computations (8% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Remove

(sort z t)

(sort x y)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample734.0ms (14.7%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
67.0ms	2472×	body	128	invalid

Compiler

Compiled 78 to 72 computations (7.7% saved)

Details

analyze1.7s (35.1%)

sample837.0ms (16.8%)

simplify12.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series211.0ms (4.2%)

simplify65.0ms (1.3%)

prune20.0ms (0.4%)

localize8.0ms (0.2%)

rewrite137.0ms (2.7%)

series866.0ms (17.4%)

simplify64.0ms (1.3%)

prune138.0ms (2.8%)

regimes102.0ms (2%)

bsearch0.0ms (0%)

simplify22.0ms (0.4%)

end0.0ms (0%)

sample734.0ms (14.7%)

Profiling