Details

analyze415.0ms (15.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	52
1	87	52
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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	243×	body	128	valid
1.0ms	22×	body	128	invalid
1.0ms	6×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune5.0ms (0.2%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
4×	`associate-r_binary64_17750` `add-cube-cbrt_binary64_17845` `add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
3×	`associate-l_binary64_17751`
2×	`associate-+l+_binary64_17743` `distribute-rgt-in_binary64_17760` `flip-+_binary64_17784` `flip3-+_binary64_17813` `associate-*r/_binary64_17752` `distribute-lft-in_binary64_17759`
1×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `sum-log_binary64_17901` `*-commutative_binary64_17741` `+-commutative_binary64_17740` `distribute-lft-out_binary64_17761`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
6.0ms	(*.f64 x (+.f64 y z))

series54.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
26.0ms	(*.f64 x (+.f64 y z))

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5032	518

prune39.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Error

0.0b

Counts

43 → 6

Compiler

Compiled 698 to 319 computations (54.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
4×	`associate-r_binary64_17750` `add-cube-cbrt_binary64_17845` `add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
3×	`associate-l_binary64_17751`
2×	`distribute-rgt-in_binary64_17760` `flip-+_binary64_17784` `flip3-+_binary64_17813` `associate-*r/_binary64_17752` `distribute-lft-in_binary64_17759` `associate-+r+_binary64_17742`
1×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `sum-log_binary64_17901` `*-commutative_binary64_17741` `+-commutative_binary64_17740` `distribute-lft-out_binary64_17761`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series52.0ms (2%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
23.0ms	(*.f64 z (+.f64 x 5))

simplify101.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4956	518
1	4956	518

prune39.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Error

0.0b

Counts

48 → 7

Compiler

Compiled 694 to 389 computations (43.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 (*.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5))))
0.3b	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))
0.3b	(*.f64 z (sqrt.f64 (+.f64 x 5)))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-div_binary64_17827` `associate-r_binary64_17750`
12×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
10×	`add-exp-log_binary64_17848` `associate-*r/_binary64_17752` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
9×	`sqrt-prod_binary64_17826`
8×	`flip-+_binary64_17784` `add-cube-cbrt_binary64_17845` `flip3-+_binary64_17813`
5×	`add-log-exp_binary64_17849`
4×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `frac-times_binary64_17820` `associate-l_binary64_17751`
2×	`unswap-sqr_binary64_17778` `-commutative_binary64_17741` `associate-l/_binary64_17753` `distribute-lft-out_binary64_17761`
1×	`sum-log_binary64_17901` `+-commutative_binary64_17740`

Counts

3 → 66

Calls

3 calls:

12.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))
10.0ms	(*.f64 z (sqrt.f64 (+.f64 x 5)))
4.0ms	(+.f64 (.f64 y x) (.f64 (*.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5))))

series92.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(*.f64 z (sqrt.f64 (+.f64 x 5)))
30.0ms	(+.f64 (.f64 y x) (.f64 (*.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5))))
23.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 x 5))) (sqrt.f64 (+.f64 x 5)))

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4940	1185
1	4940	1185

prune80.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Error

0.0b

Counts

82 → 7

Compiler

Compiled 1556 to 964 computations (38% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (+.f64 x 5)))
0.1b	(*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
0.2b	(.f64 (.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
0.3b	(.f64 (.f64 (*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (+.f64 x 5)))

rewrite71.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`sqrt-div_binary64_17827`
41×	`sqrt-prod_binary64_17826`
36×	`associate-*r/_binary64_17752`
35×	`flip-+_binary64_17784` `flip3-+_binary64_17813`
32×	`frac-times_binary64_17820`
27×	`associate-r_binary64_17750`
23×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
22×	`pow1_binary64_17871`
20×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
16×	`associate-*l/_binary64_17753`
15×	`add-cube-cbrt_binary64_17845`
10×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859`
5×	`associate-l_binary64_17751`
4×	`sqrt-pow1_binary64_17828` `add-log-exp_binary64_17849` `distribute-lft-out_binary64_17761`
3×	`unswap-sqr_binary64_17778` `*-commutative_binary64_17741`
2×	`rem-sqrt-square_binary64_17823` `pow1/2_binary64_17890`

Counts

4 → 135

Calls

4 calls:

21.0ms	(.f64 (.f64 (*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (+.f64 x 5)))
15.0ms	(.f64 (.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
12.0ms	(*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
4.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x 5)))

series150.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
39.0ms	(.f64 (.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5))))
29.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x 5)))
27.0ms	(.f64 (.f64 (*.f64 z (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (sqrt.f64 (+.f64 x 5)))) (sqrt.f64 (+.f64 x 5)))

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	2845
1	4946	2845

prune203.0ms (7.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	147	7	154

Error

0.0b

Counts

154 → 7

Compiler

Compiled 3894 to 2686 computations (31% saved)

regimes164.0ms (6.2%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 1568 to 1210 computations (22.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample811.0ms (30.9%)

Algorithm

1×

intervals

Results

215.0ms	7673×	body	128	valid
17.0ms	647×	body	128	invalid
15.0ms	163×	body	1024	valid
8.0ms	107×	body	512	valid
3.0ms	57×	body	256	valid

Compiler

Compiled 391 to 305 computations (22% saved)

Details

analyze415.0ms (15.8%)

sample16.0ms (0.6%)

simplify8.0ms (0.3%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite15.0ms (0.6%)

series54.0ms (2.1%)

simplify78.0ms (3%)

prune39.0ms (1.5%)

localize7.0ms (0.2%)

rewrite13.0ms (0.5%)

series52.0ms (2%)

simplify101.0ms (3.8%)

prune39.0ms (1.5%)

localize8.0ms (0.3%)

rewrite32.0ms (1.2%)

series92.0ms (3.5%)

simplify75.0ms (2.9%)

prune80.0ms (3%)

localize11.0ms (0.4%)

rewrite71.0ms (2.7%)

series150.0ms (5.7%)

simplify78.0ms (3%)

prune203.0ms (7.7%)

regimes164.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample811.0ms (30.9%)

Profiling