Details

analyze537.0ms (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	72
1	38	72
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
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	82×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune4.0ms (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

Error

18.1b

Counts

2 → 1

Compiler

Compiled 26 to 21 computations (19.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.2b	(+.f64 (.f64 x y) (.f64 x z))
1.6b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
17.1b	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_16144`
5×	`add-sqr-sqrt_binary64_16127`
4×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `sum-log_binary64_16196` `pow1_binary64_16166`
3×	`flip-+_binary64_16079` `sqrt-prod_binary64_16121` `add-exp-log_binary64_16143` `flip3-+_binary64_16108` `add-cbrt-cube_binary64_16141`
2×	`sqrt-div_binary64_16122` `+-commutative_binary64_16035`
1×	`rem-sqrt-square_binary64_16118` `sqrt-pow1_binary64_16123` `associate-+l+_binary64_16038` `pow1/2_binary64_16185` `distribute-lft-out_binary64_16056`

Counts

3 → 40

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	(+.f64 (.f64 x y) (.f64 x z))

series179.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
28.0ms	(+.f64 (.f64 x y) (.f64 x z))
24.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5034	871

prune53.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Error

18.0b

Counts

50 → 6

Compiler

Compiled 1061 to 344 computations (67.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_16127` `add-log-exp_binary64_16144`
6×	`*-un-lft-identity_binary64_16105` `sqrt-prod_binary64_16121` `add-cube-cbrt_binary64_16140` `pow1_binary64_16166`
4×	`flip-+_binary64_16079` `sqrt-div_binary64_16122` `associate-+l+_binary64_16038` `add-exp-log_binary64_16143` `flip3-+_binary64_16108` `add-cbrt-cube_binary64_16141`
2×	`rem-sqrt-square_binary64_16118` `sqrt-pow1_binary64_16123` `distribute-lft-in_binary64_16054` `sum-log_binary64_16196` `distribute-rgt-in_binary64_16055` `+-commutative_binary64_16035` `pow1/2_binary64_16185`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series280.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
115.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
24.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
23.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5007	1386

prune71.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Error

18.0b

Counts

74 → 7

Compiler

Compiled 2351 to 484 computations (79.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

17.1b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))))
17.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite64.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_16137`
30×	`flip-+_binary64_16079` `flip3-+_binary64_16108`
28×	`frac-times_binary64_16115`
26×	`sqrt-div_binary64_16122`
24×	`pow1_binary64_16166`
15×	`sqrt-pow1_binary64_16123`
14×	`associate-*l/_binary64_16048`
12×	`pow1/3_binary64_16187`
9×	`pow-prod-up_binary64_16175` `cbrt-prod_binary64_16136`
8×	`associate-*r/_binary64_16047`
7×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
6×	`pow-plus_binary64_16168`
5×	`pow-prod-down_binary64_16176`
4×	`add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141`
3×	`pow-sqr_binary64_16078`
2×	`pow2_binary64_16186`
1×	`sqrt-prod_binary64_16121` `pow3_binary64_16188` `pow1/2_binary64_16185`

Counts

4 → 89

Calls

4 calls:

27.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))))
9.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series814.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
228.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
218.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
131.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5262	4356

prune125.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Error

18.0b

Counts

108 → 7

Compiler

Compiled 4823 to 822 computations (83% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`sqrt-prod_binary64_16121` `add-sqr-sqrt_binary64_16127`
8×	`*-un-lft-identity_binary64_16105` `sqrt-div_binary64_16122` `add-cube-cbrt_binary64_16140` `pow1_binary64_16166`
4×	`flip-+_binary64_16079` `rem-sqrt-square_binary64_16118` `sqrt-pow1_binary64_16123` `add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `flip3-+_binary64_16108` `pow1/2_binary64_16185` `add-cbrt-cube_binary64_16141`

Counts

4 → 60

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series492.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
125.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
121.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
119.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5018	1632

prune104.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	71	8	79

Error

18.0b

Counts

79 → 8

Compiler

Compiled 4204 to 597 computations (85.8% saved)

regimes281.0ms (6.1%)

Accuracy

Total 0.1b remaining (0.4%)

Threshold costs 0.1b (0.4%)

Compiler

Compiled 4064 to 1874 computations (53.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

Compiler

Compiled 28 to 22 computations (21.4% saved)

end0.0ms (0%)

sample1.2s (25.4%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
97.0ms	2281×	body	128	nan

Compiler

Compiled 758 to 373 computations (50.8% saved)

Details

analyze537.0ms (11.6%)

sample27.0ms (0.6%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite20.0ms (0.4%)

series179.0ms (3.9%)

simplify60.0ms (1.3%)

prune53.0ms (1.1%)

localize11.0ms (0.2%)

rewrite36.0ms (0.8%)

series280.0ms (6.1%)

simplify63.0ms (1.4%)

prune71.0ms (1.5%)

localize13.0ms (0.3%)

rewrite64.0ms (1.4%)

series814.0ms (17.6%)

simplify70.0ms (1.5%)

prune125.0ms (2.7%)

localize21.0ms (0.5%)

rewrite36.0ms (0.8%)

series492.0ms (10.6%)

simplify62.0ms (1.3%)

prune104.0ms (2.3%)

regimes281.0ms (6.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (25.4%)

Profiling