Details

analyze306.0ms (13.8%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify94.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	104	10
1	104	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760`
6×	`flip3-+_binary64_763` `flip-+_binary64_734`
5×	`add-sqr-sqrt_binary64_782`
4×	`frac-times_binary64_770` `associate-r_binary64_700` `associate-l_binary64_701`
3×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
2×	`associate-l/_binary64_703` `distribute-lft-out_binary64_711` `associate-r/_binary64_702`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 30

Calls

2 calls:

9.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
0.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))

series106.0ms (4.8%)

Counts

1 → 18

Calls

1 calls:

106.0ms

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

Compiler

Compiled 241 to 194 computations (19.5% saved)

simplify79.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4982	622
1	4982	622

prune34.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Error

0.0b

Counts

49 → 2

Compiler

Compiled 546 to 261 computations (52.2% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_799`
6×	`associate-l/_binary64_703` `-un-lft-identity_binary64_760` `flip3-+_binary64_763` `flip-+_binary64_734` `add-sqr-sqrt_binary64_782`
4×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `frac-add_binary64_768` `add-cbrt-cube_binary64_796` `associate-l_binary64_701` `pow1_binary64_821`
3×	`associate-r_binary64_700` `sum-log_binary64_851`
1×	`unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `prod-exp_binary64_809` `associate-+r+_binary64_692` `+-commutative_binary64_690` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 38

Calls

4 calls:

10.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) z)
0.0ms	(*.f64 (+.f64 x y) z)
0.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))

series216.0ms (9.7%)

Counts

2 → 33

Calls

2 calls:

131.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
84.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 469 to 360 computations (23.2% saved)

simplify79.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4959	860
1	4959	860

prune40.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Error

0.0b

Counts

73 → 2

Compiler

Compiled 852 to 233 computations (72.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	81
1	28	81

regimes106.0ms (4.8%)

Compiler: Compiled 386 to 428 computations (-10.9% saved)

bsearch0.0ms (0%)

regimes269.0ms (12.1%)

Compiler: Compiled 182 to 282 computations (-54.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes109.0ms (4.9%)

Compiler: Compiled 68 to 134 computations (-97.1% saved)

bsearch20.0ms (0.9%)

Steps

Iters	Range		Point
2	42.16250606631296	48.680051193511154	42.97719920721273
9	-0.7427544069914732	-1.7965597479731115e-06	-4.615500328805919e-06

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes41.0ms (1.8%)

Compiler: Compiled 36 to 90 computations (-150% saved)

bsearch0.0ms (0%)

regimes28.0ms (1.2%)

Accuracy

Total 0.0b remaining (60.7%)

Threshold costs 0.0b (60.7%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch4.0ms (0.2%)

Compiler: Compiled 57 to 42 computations (26.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	71
1	37	71

end0.0ms (0%)

sample618.0ms (27.8%)

Algorithm

1×

intervals

Results

207.0ms	7999×	body	128	valid
15.0ms	615×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 116 to 118 computations (-1.7% saved)

Pareto

0.5584320309627294

Details

analyze306.0ms (13.8%)

sample16.0ms (0.7%)

simplify94.0ms (4.2%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite11.0ms (0.5%)

series106.0ms (4.8%)

simplify79.0ms (3.6%)

prune34.0ms (1.5%)

localize5.0ms (0.2%)

rewrite22.0ms (1%)

series216.0ms (9.7%)

simplify79.0ms (3.5%)

prune40.0ms (1.8%)

simplify3.0ms (0.1%)

regimes106.0ms (4.8%)

bsearch0.0ms (0%)

regimes269.0ms (12.1%)

bsearch1.0ms (0%)

regimes109.0ms (4.9%)

bsearch20.0ms (0.9%)

regimes41.0ms (1.8%)

bsearch0.0ms (0%)

regimes28.0ms (1.2%)

bsearch4.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample618.0ms (27.8%)

Profiling