Details

analyze717.0ms (27%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4969	28
1	4969	28
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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample29.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms	169×	body	128	valid
4.0ms	37×	body	1024	valid
2.0ms	17×	body	2048	valid
2.0ms	23×	body	512	valid
1.0ms	33×	body	128	invalid
1.0ms	11×	body	512	invalid
1.0ms	10×	body	256	valid
0.0ms	4×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify184.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	5795	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_14422`
7×	`*-un-lft-identity_binary64_14400`
6×	`cancel-sign-sub-inv_binary64_14366`
5×	`add-cube-cbrt_binary64_14435` `associate-r_binary64_14340`
4×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
3×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `associate-l_binary64_14341` `add-cbrt-cube_binary64_14436`
2×	`sub-neg_binary64_14393` `associate-*r/_binary64_14342`
1×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `difference-of-squares_binary64_14369` `flip--_binary64_14375` `flip3--_binary64_14404` `add-log-exp_binary64_14439` `distribute-lft-out--_binary64_14352` `*-commutative_binary64_14331` `unswap-sqr_binary64_14368`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

series32.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 y (-.f64 x z))

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	314

prune24.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 326 to 87 computations (73.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_14422`
21×	`sqrt-prod_binary64_14416`
19×	`*-un-lft-identity_binary64_14400`
18×	`sqrt-div_binary64_14417`
16×	`associate-r_binary64_14340`
13×	`pow1_binary64_14461`
11×	`add-exp-log_binary64_14438` `add-cube-cbrt_binary64_14435` `add-cbrt-cube_binary64_14436`
10×	`associate-*r/_binary64_14342`
9×	`flip--_binary64_14375` `flip3--_binary64_14404`
4×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `frac-times_binary64_14410` `difference-of-squares_binary64_14369` `add-log-exp_binary64_14439` `distribute-lft-out--_binary64_14352` `associate-l_binary64_14341`
2×	`sqrt-pow1_binary64_14418` `associate-l/_binary64_14343` `pow1/2_binary64_14480` `rem-sqrt-square_binary64_14413` `-commutative_binary64_14331` `unswap-sqr_binary64_14368`

Counts

4 → 91

Calls

4 calls:

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

series165.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
34.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
32.0ms	(sqrt.f64 (-.f64 x z))
32.0ms	(sqrt.f64 (-.f64 x z))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5258	1453

prune65.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 1696 to 399 computations (76.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

2.4b	(-.f64 (.f64 x x) (.f64 z z))
9.1b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
21.0b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_14400`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
9×	`add-sqr-sqrt_binary64_14422`
7×	`add-cube-cbrt_binary64_14435`
5×	`add-log-exp_binary64_14439` `pow1_binary64_14461`
4×	`associate-/r_binary64_14344` `associate-r/_binary64_14342` `times-frac_binary64_14406` `associate-r_binary64_14340`
3×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `flip--_binary64_14375` `flip3--_binary64_14404` `associate-l_binary64_14341`
2×	`associate-/l/_binary64_14347` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434` `difference-of-squares_binary64_14369` `distribute-lft-out_binary64_14351` `div-exp_binary64_14451` `associate-/r/_binary64_14346` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
1×	`flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `flip-+_binary64_14374` `diff-log_binary64_14492` `-commutative_binary64_14331` `unswap-sqr_binary64_14368` `associate-/l_binary64_14345`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
4.0ms	(-.f64 (.f64 x x) (.f64 z z))

series171.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
58.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
24.0ms	(-.f64 (.f64 x x) (.f64 z z))

simplify60.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5066	1047

prune43.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1195 to 233 computations (80.5% saved)

regimes62.0ms (2.3%)

Accuracy

Total 0.0b remaining (93.2%)

Threshold costs 0.0b (93.2%)

Compiler

Compiled 420 to 304 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample919.0ms (34.6%)

Algorithm

1×

intervals

Results

195.0ms	5812×	body	128	valid
100.0ms	851×	body	1024	valid
73.0ms	496×	body	2048	valid
48.0ms	548×	body	512	valid
48.0ms	1267×	body	128	invalid
26.0ms	300×	body	512	invalid
22.0ms	187×	body	1024	invalid
18.0ms	293×	body	256	valid
14.0ms	197×	body	256	invalid

Compiler

Compiled 122 to 90 computations (26.2% saved)

Details

analyze717.0ms (27%)

sample29.0ms (1.1%)

simplify184.0ms (6.9%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series32.0ms (1.2%)

simplify46.0ms (1.7%)

prune24.0ms (0.9%)

localize6.0ms (0.2%)

rewrite34.0ms (1.3%)

series165.0ms (6.2%)

simplify49.0ms (1.8%)

prune65.0ms (2.5%)

localize8.0ms (0.3%)

rewrite26.0ms (1%)

series171.0ms (6.4%)

simplify60.0ms (2.2%)

prune43.0ms (1.6%)

regimes62.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample919.0ms (34.6%)

Profiling