Details

analyze1.2s (23.5%)

Algorithm

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample34.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

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)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4550`
1×	`diff-log_binary64_4603` `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_4515` `*-un-lft-identity_binary64_4511` `sub-neg_binary64_4504` `flip--_binary64_4486` `cancel-sign-sub-inv_binary64_4477`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 187 to 46 computations (75.4% saved)

series175.0ms (3.5%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

162.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4946	379
1	4946	379

prune18.0ms (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

Counts

37 → 2

Compiler

Compiled 320 to 51 computations (84.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

rewrite147.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
18×	`cbrt-div_binary64_4543`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593` `flip3--_binary64_4515` `flip--_binary64_4486`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `frac-times_binary64_4521` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3392 to 341 computations (89.9% saved)

series1.8s (36%)

Error

Counts

4 → 89

Calls

4 calls:

523.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
378.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
375.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
350.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 10296 to 6415 computations (37.7% saved)

simplify164.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4977	5013
1	4977	5013

prune252.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Error

Counts

178 → 2

Compiler

Compiled 6114 to 1213 computations (80.2% saved)

regimes179.0ms (3.6%)

Accuracy

Total 0.0b remaining (14.7%)

Threshold costs 0.0b (14.7%)

Compiler

Compiled 664 to 458 computations (31% 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%)

sample858.0ms (17.4%)

Algorithm

1×

intervals

Results

256.0ms	8000×	body	128	valid
51.0ms	1336×	body	128	invalid

Compiler

Compiled 105 to 75 computations (28.6% saved)

Details

analyze1.2s (23.5%)

sample34.0ms (0.7%)

simplify16.0ms (0.3%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite13.0ms (0.3%)

series175.0ms (3.5%)

simplify93.0ms (1.9%)

prune18.0ms (0.4%)

localize12.0ms (0.2%)

rewrite147.0ms (3%)

series1.8s (36%)

simplify164.0ms (3.3%)

prune252.0ms (5.1%)

regimes179.0ms (3.6%)

bsearch0.0ms (0%)

simplify22.0ms (0.4%)

end0.0ms (0%)

sample858.0ms (17.4%)

Profiling