Details

analyze267.0ms (14.7%)

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
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	40×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify182.0ms (10.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	337	10
1	337	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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite25.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_77`
20×	`add-sqr-sqrt_binary64_98`
15×	`times-frac_binary64_83`
12×	`add-cube-cbrt_binary64_109`
5×	`associate-/l*_binary64_24`
4×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `distribute-lft-out--_binary64_31` `difference-of-squares_binary64_46`
3×	`associate-/r*_binary64_23`
2×	`div-sub_binary64_82` `pow1_binary64_135` `associate-/l/_binary64_26`
1×	`flip-+_binary64_51` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `flip--_binary64_52` `+-commutative_binary64_9` `associate-+r-_binary64_13` `div-exp_binary64_125` `clear-num_binary64_76` `flip3--_binary64_81` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `sum-log_binary64_165` `div-inv_binary64_74`

Counts

2 → 51

Calls

2 calls:

15.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

series99.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 (-.f64 y x) z)
45.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

simplify55.0ms (3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5196	779

prune36.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

Compiler

Compiled 743 to 195 computations (73.8% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 y x) z)
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
0.3b	(pow.f64 (/.f64 (-.f64 y x) z) 3)
33.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))

rewrite64.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_77`
84×	`add-sqr-sqrt_binary64_98`
75×	`times-frac_binary64_83`
52×	`add-cube-cbrt_binary64_109`
44×	`cbrt-prod_binary64_105`
38×	`unpow-prod-down_binary64_153` `cube-prod_binary64_102`
16×	`distribute-lft-out--_binary64_31` `difference-of-squares_binary64_46`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
6×	`add-log-exp_binary64_113`
5×	`pow1_binary64_135` `associate-/l*_binary64_24` `div-inv_binary64_74`
3×	`associate-/r*_binary64_23` `pow-unpow_binary64_151`
2×	`rem-cube-cbrt_binary64_99` `cube-div_binary64_103` `cbrt-undiv_binary64_108` `sqr-pow_binary64_49` `pow-exp_binary64_142` `cube-mult_binary64_104` `div-exp_binary64_125` `associate-/l/_binary64_26` `unpow3_binary64_140`
1×	`pow-to-exp_binary64_143` `rem-cbrt-cube_binary64_100` `flip-+_binary64_51` `div-sub_binary64_82` `flip3-+_binary64_80` `cbrt-div_binary64_106` `flip--_binary64_52` `+-commutative_binary64_9` `clear-num_binary64_76` `flip3--_binary64_81` `pow1/3_binary64_156` `frac-2neg_binary64_88` `pow-pow_binary64_146` `distribute-lft-out_binary64_30` `sum-log_binary64_165`

Counts

4 → 162

Calls

4 calls:

20.0ms	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
8.0ms	(pow.f64 (/.f64 (-.f64 y x) z) 3)
6.0ms	(/.f64 (-.f64 y x) z)

series286.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(pow.f64 (/.f64 (-.f64 y x) z) 3)
72.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
66.0ms	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3)))
51.0ms	(/.f64 (-.f64 y x) z)

simplify78.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5727	2785

prune125.0ms (6.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	2	176

Merged error: 0.0b

Counts

176 → 2

Compiler

Compiled 2707 to 980 computations (63.8% saved)

regimes35.0ms (1.9%)

Compiler: Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample526.0ms (29%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
42.0ms	1409×	body	128	invalid

Compiler

Compiled 32 to 31 computations (3.1% saved)

Details

analyze267.0ms (14.7%)

sample17.0ms (0.9%)

simplify182.0ms (10.1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite25.0ms (1.4%)

series99.0ms (5.5%)

simplify55.0ms (3%)

prune36.0ms (2%)

localize9.0ms (0.5%)

rewrite64.0ms (3.5%)

series286.0ms (15.8%)

simplify78.0ms (4.3%)

prune125.0ms (6.9%)

regimes35.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample526.0ms (29%)

Profiling