Details

analyze769.0ms (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	40
1	423	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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

prune4.0ms (0.1%)

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 (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_4891`
1×	`diff-log_binary64_4944` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `flip3--_binary64_4856` `*-un-lft-identity_binary64_4852` `sub-neg_binary64_4845` `flip--_binary64_4827` `cancel-sign-sub-inv_binary64_4818`

Counts

1 → 12

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

Compiler

Compiled 187 to 123 computations (34.2% saved)

series233.0ms (3.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

216.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

Compiler

Compiled 247 to 209 computations (15.4% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4897	324
1	4897	324

prune35.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

0.0b

Counts

31 → 2

Compiler

Compiled 271 to 143 computations (47.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 -4 (.f64 z y)) x)
0.0b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
0.0b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (sqrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))

rewrite306.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_4874`
24×	`sqrt-prod_binary64_4868`
21×	`pow1_binary64_4913`
16×	`sqrt-div_binary64_4869`
14×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
10×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870`
9×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
8×	`swap-sqr_binary64_4819`
6×	`add-exp-log_binary64_4890` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `associate-l_binary64_4793` `associate-r_binary64_4792`
5×	`pow-prod-up_binary64_4922`
4×	`rem-sqrt-square_binary64_4865` `frac-times_binary64_4862` `unswap-sqr_binary64_4820`
3×	`pow-prod-down_binary64_4923` `pow-sqr_binary64_4825`
2×	`associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `sqrt-unprod_binary64_4872` `sqr-abs_binary64_4867` `rem-square-sqrt_binary64_4864` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

4 → 99

Calls

4 calls:

32.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (sqrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))
11.0ms	(+.f64 (.f64 -4 (.f64 z y)) x)
11.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
10.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))

Compiler

Compiled 2841 to 1616 computations (43.1% saved)

series815.0ms (11.3%)

Error

0.0b

Counts

4 → 61

Calls

4 calls:

214.0ms	(+.f64 (.f64 -4 (.f64 z y)) x)
194.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (sqrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))
161.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
160.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))

Compiler

Compiled 2442 to 1762 computations (27.8% saved)

simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5117	2243

prune246.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

0.0b

Counts

162 → 3

Compiler

Compiled 2858 to 1569 computations (45.1% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (cbrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))
0.6b	(cbrt.f64 (-.f64 x (.f64 4 (.f64 z y))))
0.6b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
0.6b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))

rewrite399.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
18×	`cbrt-div_binary64_4884`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
8×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
6×	`add-exp-log_binary64_4890` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `frac-times_binary64_4862` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`flip3--_binary64_4856` `flip--_binary64_4827` `pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783`

Counts

4 → 87

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (cbrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))
10.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
10.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
5.0ms	(cbrt.f64 (-.f64 x (.f64 4 (.f64 z y))))

Compiler

Compiled 4349 to 2524 computations (42% saved)

series1.7s (23.4%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

485.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x)) (cbrt.f64 (+.f64 (.f64 -4 (*.f64 z y)) x)))
343.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
332.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 z y)) x))
314.0ms	(cbrt.f64 (-.f64 x (.f64 4 (.f64 z y))))

Compiler

Compiled 7804 to 5760 computations (26.2% saved)

simplify174.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4968	3731
1	4968	3731

prune503.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

0.0b

Counts

146 → 3

Compiler

Compiled 6431 to 3806 computations (40.8% saved)

regimes302.0ms (4.2%)

Accuracy

Total 0.0b remaining (80.7%)

Threshold costs 0.0b (80.7%)

Compiler

Compiled 1626 to 1236 computations (24% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

Remove

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.3s (18.1%)

Algorithm

1×

intervals

Results

347.0ms	8000×	body	128	valid
11.0ms	280×	body	128	invalid

Compiler

Compiled 280 to 215 computations (23.2% saved)

Details

analyze769.0ms (10.7%)

sample39.0ms (0.5%)

simplify39.0ms (0.5%)

prune4.0ms (0.1%)

localize11.0ms (0.1%)

rewrite27.0ms (0.4%)

series233.0ms (3.2%)

simplify111.0ms (1.5%)

prune35.0ms (0.5%)

localize15.0ms (0.2%)

rewrite306.0ms (4.3%)

series815.0ms (11.3%)

simplify126.0ms (1.8%)

prune246.0ms (3.4%)

localize38.0ms (0.5%)

rewrite399.0ms (5.6%)

series1.7s (23.4%)

simplify174.0ms (2.4%)

prune503.0ms (7%)

regimes302.0ms (4.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample1.3s (18.1%)

Profiling