Details

analyze406.0ms (18.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	40
1	37	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
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune3.0ms (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

6.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y y) z))
9.1b	(/.f64 (*.f64 y y) z)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
6×	`*-un-lft-identity_binary64_23266`
4×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `add-log-exp_binary64_23305`
3×	`associate-/r*_binary64_23210` `times-frac_binary64_23272`
2×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `pow1_binary64_23327`
1×	`sum-log_binary64_23357` `+-commutative_binary64_23196` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `distribute-lft-out_binary64_23217` `cbrt-unprod_binary64_23299` `div-inv_binary64_23263` `flip-+_binary64_23240` `prod-exp_binary64_23315` `associate-/l*_binary64_23211` `flip3-+_binary64_23269`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
5.0ms	(/.f64 (*.f64 y y) z)

series43.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
15.0ms	(/.f64 (*.f64 y y) z)

simplify84.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4877	437
1	4877	437

prune31.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

0.0b

Counts

40 → 4

Compiler

Compiled 446 to 129 computations (71.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 z y)))
0.1b	(/.f64 y (/.f64 z y))

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_23272`
46×	`*-un-lft-identity_binary64_23266`
44×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
13×	`associate-/r*_binary64_23210`
7×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
5×	`div-inv_binary64_23263`
4×	`add-log-exp_binary64_23305`
3×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `associate-/l*_binary64_23211`
2×	`pow1_binary64_23327`
1×	`sum-log_binary64_23357` `+-commutative_binary64_23196` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `distribute-lft-out_binary64_23217` `flip-+_binary64_23240` `associate-/r/_binary64_23212` `flip3-+_binary64_23269`

Counts

2 → 82

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
6.0ms	(/.f64 y (/.f64 z y))

series50.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
18.0ms	(/.f64 y (/.f64 z y))

simplify106.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4958	1306
1	4958	1306

prune57.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1219 to 316 computations (74.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 y z)))
0.1b	(*.f64 y (/.f64 y z))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_23288`
13×	`associate-r_binary64_23206`
10×	`add-cube-cbrt_binary64_23301` `*-un-lft-identity_binary64_23266` `times-frac_binary64_23272`
7×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
4×	`pow1_binary64_23327` `add-log-exp_binary64_23305`
3×	`associate-l_binary64_23207`
2×	`cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234`
1×	`sum-log_binary64_23357` `div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `+-commutative_binary64_23196` `-commutative_binary64_23197` `associate-r/_binary64_23208` `pow-prod-down_binary64_23337` `div-inv_binary64_23263` `flip-+_binary64_23240` `flip3-+_binary64_23269`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 y (/.f64 y z))
3.0ms	(+.f64 x (*.f64 y (/.f64 y z)))

series44.0ms (2%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 x (*.f64 y (/.f64 y z)))
15.0ms	(*.f64 y (/.f64 y z))

simplify80.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4957	534
1	4957	534

prune31.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Error

Counts

54 → 5

Compiler

Compiled 603 to 171 computations (71.6% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_23297`
8×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `*-un-lft-identity_binary64_23266`
4×	`pow1_binary64_23327` `pow1/3_binary64_23348` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `add-log-exp_binary64_23305`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 y)

series328.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 z)
81.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5087	340

prune48.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Error

Counts

61 → 5

Compiler

Compiled 1352 to 312 computations (76.9% saved)

regimes139.0ms (6.2%)

Accuracy

Total 0.1b remaining (93.8%)

Threshold costs 0.1b (93.8%)

Compiler

Compiled 1088 to 716 computations (34.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample636.0ms (28.5%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
23.0ms	921×	body	128	invalid

Compiler

Compiled 177 to 120 computations (32.2% saved)

Details

analyze406.0ms (18.2%)

sample15.0ms (0.7%)

simplify8.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series43.0ms (1.9%)

simplify84.0ms (3.8%)

prune31.0ms (1.4%)

localize5.0ms (0.2%)

rewrite26.0ms (1.2%)

series50.0ms (2.2%)

simplify106.0ms (4.7%)

prune57.0ms (2.5%)

localize5.0ms (0.2%)

rewrite13.0ms (0.6%)

series44.0ms (2%)

simplify80.0ms (3.6%)

prune31.0ms (1.4%)

localize13.0ms (0.6%)

rewrite8.0ms (0.4%)

series328.0ms (14.7%)

simplify34.0ms (1.5%)

prune48.0ms (2.2%)

regimes139.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample636.0ms (28.5%)

Profiling