Details

analyze99.0ms (1.9%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify154.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

3.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
3.4b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite120.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
13×	`add-sqr-sqrt_binary64_16127`
12×	`flip3--_binary64_16109` `flip--_binary64_16080`
11×	`*-un-lft-identity_binary64_16105`
8×	`frac-times_binary64_16115` `associate-/l/_binary64_16052`
6×	`add-cube-cbrt_binary64_16140` `cancel-sign-sub-inv_binary64_16071` `associate-l_binary64_16046`
5×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `associate-r_binary64_16045`
4×	`pow1_binary64_16166` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-l/_binary64_16048` `associate-r/_binary64_16047` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054`
3×	`difference-of-squares_binary64_16074`
2×	`add-log-exp_binary64_16144` `sub-neg_binary64_16098` `distribute-lft-out--_binary64_16057`
1×	`frac-2neg_binary64_16116` `times-frac_binary64_16111` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/l_binary64_16050` `associate-/r_binary64_16049` `pow-prod-down_binary64_16176` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

2 → 68

Calls

2 calls:

15.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
14.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series229.0ms (4.3%)

Error

3.2b

Counts

2 → 21

Calls

2 calls:

157.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
52.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune87.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Error

0.0b

Counts

90 → 6

Compiler

Compiled 1449 to 1059 computations (26.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite207.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`add-sqr-sqrt_binary64_16127`
78×	`*-un-lft-identity_binary64_16105`
70×	`times-frac_binary64_16111`
43×	`add-cube-cbrt_binary64_16140`
22×	`associate-l_binary64_16046`
21×	`difference-of-squares_binary64_16074`
19×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `associate-r_binary64_16045`
14×	`distribute-lft-out--_binary64_16057`
11×	`associate-/l*_binary64_16050`
6×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-/r*_binary64_16049`
5×	`pow1_binary64_16166`
4×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `div-inv_binary64_16102` `associate-/l/_binary64_16052`
3×	`add-log-exp_binary64_16144`
2×	`frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `flip3--_binary64_16109` `flip--_binary64_16080`
1×	`pow-prod-down_binary64_16176` `frac-times_binary64_16115` `associate-l/_binary64_16048` `associate-r/_binary64_16047` `*-commutative_binary64_16036`

Counts

3 → 145

Calls

3 calls:

23.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 2857 to 2101 computations (26.5% saved)

series265.0ms (5%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

161.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
59.0ms	(/.f64 (-.f64 1 x) y)
28.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 807 to 657 computations (18.6% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5283	2657

prune169.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	3	1	4
Picked	0	1	1
Done	1	0	1
Total	172	6	178

Error

Counts

178 → 6

Compiler

Compiled 2998 to 2168 computations (27.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite146.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-sqr-sqrt_binary64_16127`
48×	`*-un-lft-identity_binary64_16105`
37×	`times-frac_binary64_16111`
27×	`add-cube-cbrt_binary64_16140`
25×	`associate-l_binary64_16046`
14×	`difference-of-squares_binary64_16074`
12×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
7×	`pow1_binary64_16166` `distribute-lft-out--_binary64_16057`
6×	`associate-r_binary64_16045` `associate-/l*_binary64_16050`
3×	`prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `flip3--_binary64_16109` `flip--_binary64_16080` `associate-/r*_binary64_16049`
2×	`pow-prod-down_binary64_16176` `-commutative_binary64_16036` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `frac-times_binary64_16115` `sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-in_binary64_16054` `associate-r/_binary64_16047` `div-inv_binary64_16102` `associate-/l/_binary64_16052`
1×	`associate-*l/_binary64_16048` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104`

Counts

3 → 109

Calls

3 calls:

15.0ms	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
7.0ms	(/.f64 (-.f64 1 x) y)
4.0ms	(*.f64 x 1/3)

Compiler

Compiled 2102 to 1496 computations (28.8% saved)

series243.0ms (4.5%)

Error

Counts

3 → 24

Calls

3 calls:

150.0ms	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
59.0ms	(/.f64 (-.f64 1 x) y)
18.0ms	(*.f64 x 1/3)

Compiler

Compiled 757 to 617 computations (18.5% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4933	1932
1	4933	1932

prune119.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	133	6	139

Error

Counts

139 → 6

Compiler

Compiled 2276 to 1591 computations (30.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 x))
0.2b	(cbrt.f64 (-.f64 1 x))
0.2b	(cbrt.f64 (-.f64 1 x))
0.2b	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))

rewrite215.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`cbrt-prod_binary64_16136`
44×	`add-sqr-sqrt_binary64_16127`
42×	`*-un-lft-identity_binary64_16105`
18×	`cbrt-div_binary64_16137`
15×	`add-cube-cbrt_binary64_16140`
14×	`difference-of-squares_binary64_16074`
11×	`pow1_binary64_16166` `swap-sqr_binary64_16072`
9×	`pow1/3_binary64_16187` `flip3--_binary64_16109` `flip--_binary64_16080` `distribute-lft-out--_binary64_16057` `associate-l_binary64_16046` `associate-r_binary64_16045`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `frac-times_binary64_16115` `unswap-sqr_binary64_16073`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `*-commutative_binary64_16036`

Counts

4 → 107

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
3.0ms	(cbrt.f64 (-.f64 1 x))
3.0ms	(cbrt.f64 (-.f64 1 x))
3.0ms	(cbrt.f64 (-.f64 1 x))

Compiler

Compiled 3423 to 2727 computations (20.3% saved)

series213.0ms (4%)

Error

Counts

4 → 30

Calls

4 calls:

67.0ms	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
37.0ms	(cbrt.f64 (-.f64 1 x))
35.0ms	(cbrt.f64 (-.f64 1 x))
30.0ms	(cbrt.f64 (-.f64 1 x))

Compiler

Compiled 1978 to 1697 computations (14.2% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4966	1869
1	4966	1869

prune419.0ms (7.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	137	6	143

Error

Counts

143 → 6

Compiler

Compiled 3914 to 3074 computations (21.5% saved)

regimes647.0ms (12.1%)

Accuracy

Total 0.1b remaining (100%)

Threshold costs 0.1b (100%)

Compiler

Compiled 7086 to 6135 computations (13.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms (0%)

sample1.7s (31.4%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
10.0ms	338×	body	128	invalid

Compiler

Compiled 1240 to 1077 computations (13.1% saved)

Details

analyze99.0ms (1.9%)

sample20.0ms (0.4%)

simplify154.0ms (2.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite120.0ms (2.3%)

series229.0ms (4.3%)

simplify61.0ms (1.1%)

prune87.0ms (1.6%)

localize7.0ms (0.1%)

rewrite207.0ms (3.9%)

series265.0ms (5%)

simplify55.0ms (1%)

prune169.0ms (3.2%)

localize7.0ms (0.1%)

rewrite146.0ms (2.7%)

series243.0ms (4.5%)

simplify68.0ms (1.3%)

prune119.0ms (2.2%)

localize11.0ms (0.2%)

rewrite215.0ms (4%)

series213.0ms (4%)

simplify93.0ms (1.7%)

prune419.0ms (7.8%)

regimes647.0ms (12.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (31.4%)

Profiling