Details

analyze58.0ms (2%)

Algorithm

1×

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify168.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	165	10
1	165	10

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1783`
3×	`-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `associate-l_binary64_1705` `associate-r*_binary64_1704`
2×	`associate-*r/_binary64_1706` `sub-neg_binary64_1755`
1×	`flip3--_binary64_1766` `pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `add-log-exp_binary64_1798` `cbrt-unprod_binary64_1792` `distribute-rgt-in_binary64_1714` `flip--_binary64_1737` `*-commutative_binary64_1695` `distribute-lft-in_binary64_1713`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series67.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

67.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

simplify118.0ms (4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4815	308
1	4815	308

prune26.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

Compiler

Compiled 395 to 219 computations (44.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (neg.f64 (.f64 x y)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`associate-r_binary64_1704`
5×	`add-sqr-sqrt_binary64_1783`
3×	`-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `associate-l*_binary64_1705`
1×	`distribute-lft-neg-in_binary64_1721` `pow-prod-down_binary64_1830` `distribute-rgt-neg-out_binary64_1724` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `distribute-rgt-neg-in_binary64_1722` `add-log-exp_binary64_1798` `neg-mul-1_binary64_1758` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (neg.f64 (*.f64 x y)))

series37.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(*.f64 x (neg.f64 (*.f64 x y)))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4772	258
1	4772	258

prune22.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

Compiler

Compiled 367 to 125 computations (65.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
23.3b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
23.3b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
23.3b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1820`
10×	`add-sqr-sqrt_binary64_1783`
9×	`pow1/3_binary64_1841`
8×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
7×	`cbrt-prod_binary64_1790`
6×	`add-exp-log_binary64_1797`
4×	`add-log-exp_binary64_1798` `swap-sqr_binary64_1729` `add-cbrt-cube_binary64_1795` `associate-l_binary64_1705` `associate-r_binary64_1704`
2×	`pow-sqr_binary64_1735` `pow-prod-down_binary64_1830` `pow-prod-up_binary64_1829`
1×	`prod-exp_binary64_1808` `pow-plus_binary64_1822` `unswap-sqr_binary64_1730` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `pow2_binary64_1840`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

series638.0ms (21.7%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
156.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
150.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
143.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5796	881

prune67.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

Compiler

Compiled 1876 to 403 computations (78.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1790`
23×	`add-sqr-sqrt_binary64_1783`
15×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
11×	`pow1_binary64_1820`
9×	`pow1/3_binary64_1841`
6×	`swap-sqr_binary64_1729` `add-exp-log_binary64_1797` `associate-l_binary64_1705` `associate-r_binary64_1704`
4×	`unswap-sqr_binary64_1730` `add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795`
2×	`pow-sqr_binary64_1735` `pow-prod-down_binary64_1830` `pow-prod-up_binary64_1829`
1×	`prod-exp_binary64_1808` `pow-plus_binary64_1822` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `pow2_binary64_1840`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series651.0ms (22.2%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
163.0ms	(cbrt.f64 x)
159.0ms	(cbrt.f64 x)
156.0ms	(cbrt.f64 x)

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune61.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

Compiler

Compiled 1499 to 392 computations (73.8% saved)

regimes106.0ms (3.6%)

Compiler: Compiled 869 to 583 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	10
1	44	10

end0.0ms (0%)

sample618.0ms (21%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
2.0ms	75×	body	128	invalid

Compiler

Compiled 274 to 183 computations (33.2% saved)

Details

analyze58.0ms (2%)

sample18.0ms (0.6%)

simplify168.0ms (5.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.3%)

series67.0ms (2.3%)

simplify118.0ms (4%)

prune26.0ms (0.9%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series37.0ms (1.3%)

simplify56.0ms (1.9%)

prune22.0ms (0.8%)

localize9.0ms (0.3%)

rewrite22.0ms (0.7%)

series638.0ms (21.7%)

simplify68.0ms (2.3%)

prune67.0ms (2.3%)

localize9.0ms (0.3%)

rewrite17.0ms (0.6%)

series651.0ms (22.2%)

simplify70.0ms (2.4%)

prune61.0ms (2.1%)

regimes106.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample618.0ms (21%)

Profiling