Details

analyze341.0ms (11.4%)

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
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
2.0ms	46×	body	80	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	719	15
1	719	15

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
1.0b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `insert-posit16` `flip--_binary64`
1×	`sub-neg_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
8.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

series246.0ms (8.2%)

Counts

2 → 6

Calls

2 calls:

217.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
29.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

simplify101.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4960	959
1	4960	959

prune51.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

Compiler

Compiled 919 to 507 computations (44.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.6b	(*.f64 (/.f64 x y) z)

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `insert-posit16` `associate-l/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
8.0ms	(*.f64 (/.f64 x y) z)
7.0ms	(/.f64 (+.f64 x 4) y)

series145.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
39.0ms	(/.f64 (+.f64 x 4) y)
38.0ms	(*.f64 (/.f64 x y) z)

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4924	1192
1	4924	1192

prune80.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	90	4	94

Merged error: 0b

Counts

94 → 4

Compiler

Compiled 1627 to 797 computations (51% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.5b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-l*_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`frac-add_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `insert-posit16` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

13.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))
10.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

series155.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

85.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))
70.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5030	1105

prune61.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Merged error: 0b

Counts

71 → 4

Compiler

Compiled 1266 to 744 computations (41.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.8b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
2.2b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
18×	`pow1_binary64` `add-sqr-sqrt_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `insert-posit16`
3×	`associate-*l/_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 90

Calls

4 calls:

16.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
14.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series515.0ms (17.3%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
148.0ms	(cbrt.f64 z)
144.0ms	(cbrt.f64 z)
59.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

simplify81.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	995
1	4953	995

prune91.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	102	4	106

Merged error: 0b

Counts

106 → 4

Compiler

Compiled 2061 to 945 computations (54.1% saved)

regimes34.0ms (1.1%)

Compiler: Compiled 171 to 150 computations (12.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	15
1	38	15

end0.0ms (0%)

sample655.0ms (21.9%)

Algorithm

1×

intervals

Results

307.0ms	8000×	body	80	valid
47.0ms	1226×	body	80	invalid

Compiler

Compiled 78 to 67 computations (14.1% saved)

Details

analyze341.0ms (11.4%)

sample22.0ms (0.7%)

simplify88.0ms (2.9%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series246.0ms (8.2%)

simplify101.0ms (3.4%)

prune51.0ms (1.7%)

localize8.0ms (0.3%)

rewrite30.0ms (1%)

series145.0ms (4.9%)

simplify75.0ms (2.5%)

prune80.0ms (2.7%)

localize8.0ms (0.3%)

rewrite26.0ms (0.9%)

series155.0ms (5.2%)

simplify85.0ms (2.8%)

prune61.0ms (2%)

localize12.0ms (0.4%)

rewrite37.0ms (1.2%)

series515.0ms (17.3%)

simplify81.0ms (2.7%)

prune91.0ms (3.1%)

regimes34.0ms (1.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample655.0ms (21.9%)

Profiling