Details

analyze199.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14
0	2	2
1	2	2

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
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
74.9%	15.6%	9.5%	9
79.6%	10.9%	9.5%	10
81.2%	7.8%	11%	11
83.5%	5.5%	11%	12
84.3%	3.9%	11.8%	13
85.5%	2.7%	11.8%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample101.0ms (2.3%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 1781 to 2373 computations (-33.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

prune2.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 y 1))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
4×	`associate-r_binary64_20137`
3×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232` `associate-l_binary64_20138`
2×	`associate-*r/_binary64_20139`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `add-log-exp_binary64_20236` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146` `flip3-+_binary64_20200` `flip-+_binary64_20171` `distribute-lft-out_binary64_20148` `*-commutative_binary64_20128`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

Compiler

Compiled 249 to 170 computations (31.7% saved)

series77.0ms (1.7%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

71.0ms

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

Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	257
1	4894	257

prune25.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Compiler

Compiled 269 to 174 computations (35.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 y x) x)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_20236`
2×	`*-un-lft-identity_binary64_20197`
1×	`sum-log_binary64_20288` `pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219` `flip3-+_binary64_20200` `flip-+_binary64_20171` `distribute-lft1-in_binary64_20152` `distribute-rgt-out_binary64_20150` `+-commutative_binary64_20127`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 y x) x)

Compiler

Compiled 146 to 45 computations (69.2% saved)

series68.0ms (1.5%)

Error

Counts

1 → 9

Calls

1 calls:

62.0ms

(+.f64 (*.f64 y x) x)

Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4948	192
1	4948	192

prune12.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 175 to 61 computations (65.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 y y) 1)
6.2b	(.f64 x (-.f64 (.f64 y y) 1))
8.8b	(/.f64 (.f64 x (-.f64 (.f64 y y) 1)) (-.f64 y 1))

rewrite110.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_20219`
18×	`*-un-lft-identity_binary64_20197`
10×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232`
9×	`cancel-sign-sub-inv_binary64_20163`
8×	`difference-of-squares_binary64_20166`
7×	`times-frac_binary64_20203` `associate-/r*_binary64_20141`
6×	`associate-r_binary64_20137`
5×	`pow1_binary64_20258` `add-log-exp_binary64_20236`
4×	`difference-of-sqr-1_binary64_20167` `flip3--_binary64_20201` `associate-*r/_binary64_20139` `flip--_binary64_20172` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146`
3×	`sub-neg_binary64_20190` `associate-l_binary64_20138`
2×	`prod-exp_binary64_20246` `div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `cbrt-unprod_binary64_20230` `distribute-lft-out--_binary64_20149` `associate-/l/_binary64_20144` `associate-/r/_binary64_20143`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194` `associate-/l_binary64_20142` `pow-prod-down_binary64_20268` `unswap-sqr_binary64_20165` `-commutative_binary64_20128` `diff-log_binary64_20289`

Counts

3 → 81

Calls

3 calls:

11.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) 1)) (-.f64 y 1))
8.0ms	(.f64 x (-.f64 (.f64 y y) 1))
4.0ms	(-.f64 (*.f64 y y) 1)

Compiler

Compiled 1492 to 890 computations (40.3% saved)

series393.0ms (8.8%)

Error

Counts

3 → 24

Calls

3 calls:

207.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) 1)) (-.f64 y 1))
123.0ms	(.f64 x (-.f64 (.f64 y y) 1))
50.0ms	(-.f64 (*.f64 y y) 1)

Compiler

Compiled 555 to 444 computations (20% saved)

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4978	1126
1	4978	1126

prune81.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1353 to 717 computations (47% saved)

regimes116.0ms (2.6%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 636 to 547 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample3.1s (67.9%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
24.0ms	1155×	body	128	invalid

Compiler

Compiled 55076 to 73365 computations (-33.2% saved)

Details

analyze199.0ms (4.4%)

sample101.0ms (2.3%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize3.0ms (0.1%)

rewrite30.0ms (0.7%)

series77.0ms (1.7%)

simplify69.0ms (1.5%)

prune25.0ms (0.6%)

localize3.0ms (0.1%)

rewrite13.0ms (0.3%)

series68.0ms (1.5%)

simplify64.0ms (1.4%)

prune12.0ms (0.3%)

localize7.0ms (0.1%)

rewrite110.0ms (2.4%)

series393.0ms (8.8%)

simplify58.0ms (1.3%)

prune81.0ms (1.8%)

regimes116.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (67.9%)

Profiling