Details

analyze441.0ms (17.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	32×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`add-cube-cbrt_binary64_4205`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `associate-r_binary64_4110`
3×	`associate-l_binary64_4111` `cancel-sign-sub-inv_binary64_4136`
2×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `associate-*r/_binary64_4112` `associate--l+_binary64_4107`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `flip3-+_binary64_4173` `flip-+_binary64_4144` `distribute-lft-out_binary64_4121` `*-commutative_binary64_4101` `diff-log_binary64_4262` `flip3--_binary64_4174` `sub-neg_binary64_4163` `flip--_binary64_4145`

Counts

2 → 39

Calls

2 calls:

10.0ms	(*.f64 x (+.f64 y z))
7.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 529 to 154 computations (70.9% saved)

series217.0ms (8.4%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

116.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
86.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 606 to 344 computations (43.2% saved)

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5136	655

prune40.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 684 to 142 computations (79.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_4192`
7×	`-un-lft-identity_binary64_4170` `associate-l*_binary64_4111`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
3×	`associate-r_binary64_4110`
2×	`associate-*l/_binary64_4113` `difference-of-squares_binary64_4139`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `flip3--_binary64_4174` `flip--_binary64_4145` `difference-of-sqr-1_binary64_4140` `distribute-lft-out--_binary64_4122` `*-commutative_binary64_4101` `sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 586 to 323 computations (44.9% saved)

series187.0ms (7.3%)

Error

Counts

2 → 27

Calls

2 calls:

120.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
57.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 525 to 317 computations (39.6% saved)

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5092	615

prune34.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Error

Counts

65 → 3

Compiler

Compiled 693 to 205 computations (70.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y z))
0.0b	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
0.1b	(*.f64 x (sqrt.f64 (+.f64 z y)))
0.2b	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))

rewrite105.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`*-un-lft-identity_binary64_4170`
16×	`add-sqr-sqrt_binary64_4192` `sqrt-div_binary64_4187`
14×	`associate-r_binary64_4110`
13×	`sqrt-prod_binary64_4186`
12×	`pow1_binary64_4231`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
10×	`associate-*r/_binary64_4112`
8×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
6×	`add-log-exp_binary64_4209`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `frac-times_binary64_4180` `associate-l_binary64_4111`
3×	`distribute-lft-out_binary64_4121` `cancel-sign-sub-inv_binary64_4136`
2×	`associate-l/_binary64_4113` `-commutative_binary64_4101` `unswap-sqr_binary64_4138`
1×	`diff-log_binary64_4262` `flip3--_binary64_4174` `sub-neg_binary64_4163` `flip--_binary64_4145` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

4 → 85

Calls

4 calls:

13.0ms	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
13.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))
8.0ms	(*.f64 x (sqrt.f64 (+.f64 z y)))
3.0ms	(sqrt.f64 (+.f64 y z))

Compiler

Compiled 1893 to 402 computations (78.8% saved)

series373.0ms (14.5%)

Error

Counts

4 → 54

Calls

4 calls:

116.0ms	(-.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z))) z)
100.0ms	(*.f64 x (sqrt.f64 (+.f64 z y)))
90.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 y z)))
41.0ms	(sqrt.f64 (+.f64 y z))

Compiler

Compiled 1639 to 1006 computations (38.6% saved)

simplify72.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5224	1601

prune82.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	3	142

Error

Counts

142 → 3

Compiler

Compiled 1988 to 428 computations (78.5% saved)

regimes81.0ms (3.2%)

Accuracy

Total 0.0b remaining (65.4%)

Threshold costs 0.0b (65.4%)

Compiler

Compiled 384 to 358 computations (6.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample665.0ms (25.9%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
18.0ms	672×	body	128	invalid

Compiler

Compiled 107 to 99 computations (7.5% saved)

Details

analyze441.0ms (17.1%)

sample19.0ms (0.7%)

simplify19.0ms (0.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite42.0ms (1.6%)

series217.0ms (8.4%)

simplify62.0ms (2.4%)

prune40.0ms (1.6%)

localize6.0ms (0.2%)

rewrite44.0ms (1.7%)

series187.0ms (7.3%)

simplify63.0ms (2.4%)

prune34.0ms (1.3%)

localize9.0ms (0.3%)

rewrite105.0ms (4.1%)

series373.0ms (14.5%)

simplify72.0ms (2.8%)

prune82.0ms (3.2%)

regimes81.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample665.0ms (25.9%)

Profiling