Details

analyze354.0ms (12.1%)

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 (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	46×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	718	15
1	718	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 (0.3%)

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` `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 → 43

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
7.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

series113.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
32.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4956	932
1	4956	932

prune49.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

Compiler

Compiled 895 to 493 computations (44.9% saved)

localize9.0ms (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)

rewrite31.0ms (1.1%)

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` `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 → 78

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

series155.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
42.0ms	(*.f64 (/.f64 x y) z)
34.0ms	(/.f64 (+.f64 x 4) y)

simplify79.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4932	1156
1	4932	1156

prune76.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

Compiler

Compiled 1585 to 776 computations (51% saved)

localize9.0ms (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))

rewrite29.0ms (1%)

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` `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 → 59

Calls

2 calls:

12.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
12.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series144.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))
66.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5026	1075

prune60.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

Compiler

Compiled 1238 to 726 computations (41.4% saved)

localize15.0ms (0.5%)

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 (1.3%)

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`
3×	`associate-*l/_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 86

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
12.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series544.0ms (18.6%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
154.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)
74.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4949	964
1	4949	964

prune88.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	98	4	102

Merged error: 0b

Counts

102 → 4

Compiler

Compiled 1986 to 911 computations (54.1% saved)

regimes36.0ms (1.2%)

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

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	15
1	38	15

end0.0ms (0%)

sample794.0ms (27.1%)

Algorithm

1×

intervals

Results

441.0ms	8000×	body	128	valid
50.0ms	1226×	body	128	invalid

Compiler

Compiled 78 to 67 computations (14.1% saved)

Details

analyze354.0ms (12.1%)

sample22.0ms (0.8%)

simplify58.0ms (2%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite19.0ms (0.6%)

series113.0ms (3.9%)

simplify61.0ms (2.1%)

prune49.0ms (1.7%)

localize9.0ms (0.3%)

rewrite31.0ms (1.1%)

series155.0ms (5.3%)

simplify79.0ms (2.7%)

prune76.0ms (2.6%)

localize9.0ms (0.3%)

rewrite29.0ms (1%)

series144.0ms (4.9%)

simplify55.0ms (1.9%)

prune60.0ms (2%)

localize15.0ms (0.5%)

rewrite37.0ms (1.3%)

series544.0ms (18.6%)

simplify81.0ms (2.8%)

prune88.0ms (3%)

regimes36.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample794.0ms (27.1%)

Profiling