Details

analyze257.0ms (10.1%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify159.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	10
1	30	10

prune2.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131`
4×	`add-cube-cbrt_binary64_3142` `add-exp-log_binary64_3145` `pow1_binary64_3168` `add-log-exp_binary64_3146` `associate-r_binary64_3052` `add-cbrt-cube_binary64_3143`
3×	`associate-l_binary64_3053`
2×	`associate-*r/_binary64_3054` `flip3-+_binary64_3113` `associate-+r+_binary64_3044` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `flip-+_binary64_3084`
1×	`+-commutative_binary64_3042` `distribute-lft-out_binary64_3063` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `sum-log_binary64_3198` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078`

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series108.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
53.0ms	(*.f64 y (+.f64 z x))

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5049	467

prune32.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

Compiler

Compiled 565 to 175 computations (69% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.3b	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
1.3b	(sqrt.f64 (*.f64 y (+.f64 x z)))
1.3b	(sqrt.f64 (*.f64 y (+.f64 x z)))

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_3168`
32×	`sqrt-pow1_binary64_3127`
23×	`pow-prod-down_binary64_3178`
20×	`associate-*r/_binary64_3054`
16×	`sqrt-div_binary64_3126`
14×	`add-sqr-sqrt_binary64_3131`
12×	`*-un-lft-identity_binary64_3110` `pow1/2_binary64_3187`
10×	`add-cube-cbrt_binary64_3142` `pow-prod-up_binary64_3177`
9×	`flip3-+_binary64_3113` `flip-+_binary64_3084`
8×	`add-exp-log_binary64_3145` `associate-r_binary64_3052` `add-cbrt-cube_binary64_3143`
7×	`associate-l_binary64_3053`
6×	`sqrt-prod_binary64_3125` `pow-sqr_binary64_3083`
4×	`frac-times_binary64_3120` `swap-sqr_binary64_3077` `add-log-exp_binary64_3146`
2×	`prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `associate-l/_binary64_3055` `-commutative_binary64_3043` `unswap-sqr_binary64_3078`
1×	`rem-square-sqrt_binary64_3122` `pow2_binary64_3188` `distribute-lft-out_binary64_3063` `sqrt-unprod_binary64_3129` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `pow-plus_binary64_3170`

Counts

4 → 106

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
7.0ms	(*.f64 y (+.f64 x z))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))

series266.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))
76.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))
57.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
55.0ms	(*.f64 y (+.f64 x z))

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5461	1303

prune84.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

Compiler

Compiled 2054 to 527 computations (74.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_3131`
10×	`-un-lft-identity_binary64_3110` `add-exp-log_binary64_3145` `pow1_binary64_3168` `associate-l*_binary64_3053` `add-cbrt-cube_binary64_3143`
8×	`add-cube-cbrt_binary64_3142`
7×	`sqrt-prod_binary64_3125` `associate-r_binary64_3052`
5×	`add-log-exp_binary64_3146`
4×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `associate-*l/_binary64_3055`
3×	`flip3-+_binary64_3113` `flip-+_binary64_3084`
2×	`associate-r/_binary64_3054` `-commutative_binary64_3043` `unswap-sqr_binary64_3078`
1×	`+-commutative_binary64_3042` `distribute-lft-out_binary64_3063` `sum-log_binary64_3198`

Counts

3 → 59

Calls

3 calls:

11.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y)))
8.0ms	(*.f64 (+.f64 x z) (sqrt.f64 y))
4.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y))))

series250.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(*.f64 (+.f64 x z) (sqrt.f64 y))
83.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y))))
70.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y)))

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4976	862
1	4976	862

prune45.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

Compiler

Compiled 1036 to 289 computations (72.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_3110` `sqrt-div_binary64_3126`
15×	`add-sqr-sqrt_binary64_3131`
14×	`associate-r_binary64_3052`
13×	`sqrt-prod_binary64_3125`
12×	`pow1_binary64_3168`
11×	`add-exp-log_binary64_3145` `add-cbrt-cube_binary64_3143`
10×	`add-cube-cbrt_binary64_3142` `associate-*r/_binary64_3054`
9×	`flip3-+_binary64_3113` `flip-+_binary64_3084`
6×	`add-log-exp_binary64_3146`
4×	`frac-times_binary64_3120` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `associate-l_binary64_3053`
3×	`distribute-lft-out_binary64_3063`
2×	`associate-l/_binary64_3055` `-commutative_binary64_3043` `unswap-sqr_binary64_3078`
1×	`+-commutative_binary64_3042` `rem-sqrt-square_binary64_3123` `sqrt-pow1_binary64_3127` `sum-log_binary64_3198` `pow1/2_binary64_3187`

Counts

4 → 82

Calls

4 calls:

14.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
8.0ms	(*.f64 y (sqrt.f64 (+.f64 x z)))
4.0ms	(sqrt.f64 (+.f64 z x))
4.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x))))

series316.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
91.0ms	(*.f64 y (sqrt.f64 (+.f64 x z)))
78.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x))))
41.0ms	(sqrt.f64 (+.f64 z x))

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5003	1443

prune62.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	94	6	100

Merged error: 0b

Counts

100 → 6

Compiler

Compiled 1693 to 437 computations (74.2% saved)

regimes57.0ms (2.3%)

Compiler: Compiled 388 to 270 computations (30.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample516.0ms (20.3%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
14.0ms	602×	body	128	invalid

Compiler

Compiled 107 to 76 computations (29% saved)

Details

analyze257.0ms (10.1%)

sample17.0ms (0.7%)

simplify159.0ms (6.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite14.0ms (0.6%)

series108.0ms (4.2%)

simplify60.0ms (2.4%)

prune32.0ms (1.2%)

localize7.0ms (0.3%)

rewrite44.0ms (1.7%)

series266.0ms (10.5%)

simplify61.0ms (2.4%)

prune84.0ms (3.3%)

localize8.0ms (0.3%)

rewrite29.0ms (1.1%)

series250.0ms (9.8%)

simplify56.0ms (2.2%)

prune45.0ms (1.8%)

localize9.0ms (0.4%)

rewrite37.0ms (1.4%)

series316.0ms (12.4%)

simplify38.0ms (1.5%)

prune62.0ms (2.4%)

regimes57.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample516.0ms (20.3%)

Profiling