Details

analyze386.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	52
1	489	52
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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify16.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	231	13
1	231	13

prune2.0ms (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 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5914`
1×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `diff-log_binary64_5967` `sub-neg_binary64_5868` `add-sqr-sqrt_binary64_5897` `cancel-sign-sub-inv_binary64_5841` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `flip--_binary64_5850`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series34.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify64.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4982	267
1	4982	267

prune16.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

0.0b

Counts

16 → 2

Compiler

Compiled 251 to 143 computations (43% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
2.6b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.6b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.6b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite36.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
18×	`cbrt-div_binary64_5907`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`flip3--_binary64_5879` `pow1/3_binary64_5957` `flip--_binary64_5850`
6×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `associate-l_binary64_5816` `swap-sqr_binary64_5842`
4×	`frac-times_binary64_5885` `unswap-sqr_binary64_5843` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `pow-sqr_binary64_5848` `associate-l/_binary64_5818` `pow-prod-up_binary64_5945` `associate-r/_binary64_5817`
1×	`pow-plus_binary64_5938` `cbrt-unprod_binary64_5908` `pow2_binary64_5956` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

series365.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
89.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
89.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
87.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5065	2471

prune150.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Error

0.0b

Counts

101 → 3

Compiler

Compiled 3806 to 2206 computations (42% saved)

localize23.0ms (0.9%)

Local error

Found 4 expressions with local error:

2.6b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.6b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.6b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
26.8b	(cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 16 (pow.f64 (.f64 y z) 2))))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_5906`
8×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875` `cbrt-div_binary64_5907`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `pow1/3_binary64_5957` `add-log-exp_binary64_5914`
3×	`flip3--_binary64_5879` `flip--_binary64_5850`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
8.0ms	(cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 16 (pow.f64 (.f64 y z) 2))))
7.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
6.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

series325.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
84.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
74.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
72.0ms	(cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 16 (pow.f64 (.f64 y z) 2))))

simplify89.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4924	1487
1	4924	1487

prune138.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Error

0.0b

Counts

67 → 3

Compiler

Compiled 3371 to 1972 computations (41.5% saved)

regimes95.0ms (3.8%)

Accuracy

Total 0.0b remaining (6.3%)

Threshold costs 0.0b (6.3%)

Compiler

Compiled 809 to 603 computations (25.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample585.0ms (23.5%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
13.0ms	471×	body	128	invalid

Compiler

Compiled 128 to 97 computations (24.2% saved)

Details

analyze386.0ms (15.5%)

sample17.0ms (0.7%)

simplify16.0ms (0.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series34.0ms (1.4%)

simplify64.0ms (2.6%)

prune16.0ms (0.6%)

localize10.0ms (0.4%)

rewrite36.0ms (1.4%)

series365.0ms (14.7%)

simplify78.0ms (3.2%)

prune150.0ms (6%)

localize23.0ms (0.9%)

rewrite39.0ms (1.6%)

series325.0ms (13.1%)

simplify89.0ms (3.6%)

prune138.0ms (5.6%)

regimes95.0ms (3.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample585.0ms (23.5%)

Profiling