Details

analyze160.0ms (4.5%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	25×	body	128	nan
0.0ms	8×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify166.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 y (sqrt.f64 z))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_6501`
6×	`associate-r_binary64_6422`
4×	`*-un-lft-identity_binary64_6480` `sqrt-prod_binary64_6495` `add-cube-cbrt_binary64_6512`
3×	`add-exp-log_binary64_6515` `pow1_binary64_6538` `associate-l_binary64_6423` `add-cbrt-cube_binary64_6513`
2×	`unswap-sqr_binary64_6448`
1×	`prod-exp_binary64_6526` `pow-prod-down_binary64_6548` `cbrt-unprod_binary64_6510` `add-log-exp_binary64_6516` `*-commutative_binary64_6413`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 z))

series59.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(*.f64 y (sqrt.f64 z))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4972	277
1	4972	277

prune31.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

Compiler

Compiled 411 to 204 computations (50.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_6495`
25×	`add-sqr-sqrt_binary64_6501`
18×	`associate-r_binary64_6422`
15×	`*-un-lft-identity_binary64_6480` `pow1_binary64_6538` `add-cube-cbrt_binary64_6512`
11×	`add-exp-log_binary64_6515` `add-cbrt-cube_binary64_6513`
8×	`sqrt-pow1_binary64_6497`
4×	`rem-sqrt-square_binary64_6493` `pow1/2_binary64_6557` `prod-exp_binary64_6526` `pow-prod-down_binary64_6548` `cbrt-unprod_binary64_6510` `associate-l_binary64_6423` `add-log-exp_binary64_6516`
3×	`unswap-sqr_binary64_6448`
2×	`*-commutative_binary64_6413`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series347.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt.f64 (sqrt.f64 z))
96.0ms	(sqrt.f64 (sqrt.f64 z))
84.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4918	1032
1	4918	1032

prune93.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

Compiler

Compiled 1737 to 654 computations (62.3% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`sqrt-prod_binary64_6495`
18×	`add-exp-log_binary64_6515` `add-sqr-sqrt_binary64_6501`
16×	`associate-r_binary64_6422`
11×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
10×	`prod-exp_binary64_6526` `add-cbrt-cube_binary64_6513`
7×	`pow1_binary64_6538`
4×	`unpow-prod-down_binary64_6556` `cbrt-unprod_binary64_6510` `associate-l_binary64_6423` `sqrt-pow1_binary64_6497`
3×	`unswap-sqr_binary64_6448` `add-log-exp_binary64_6516`
2×	`sqr-pow_binary64_6452` `pow-exp_binary64_6545` `rem-sqrt-square_binary64_6493` `pow1/2_binary64_6557` `pow-to-exp_binary64_6546` `*-commutative_binary64_6413`
1×	`pow-prod-down_binary64_6548`

Counts

3 → 69

Calls

3 calls:

9.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
6.0ms	(*.f64 y (pow.f64 z 1/4))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series297.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

107.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
106.0ms	(sqrt.f64 (sqrt.f64 z))
84.0ms	(*.f64 y (pow.f64 z 1/4))

simplify99.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4892	959
1	4892	959

prune80.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

Compiler

Compiled 1435 to 832 computations (42% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`sqrt-prod_binary64_6495`
33×	`associate-r_binary64_6422`
28×	`add-sqr-sqrt_binary64_6501`
23×	`pow1_binary64_6538`
20×	`add-exp-log_binary64_6515` `add-cbrt-cube_binary64_6513`
19×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
10×	`prod-exp_binary64_6526` `pow-prod-down_binary64_6548` `cbrt-unprod_binary64_6510`
9×	`sqrt-pow1_binary64_6497`
5×	`associate-l_binary64_6423`
4×	`add-log-exp_binary64_6516`
3×	`unswap-sqr_binary64_6448` `rem-sqrt-square_binary64_6493` `pow1/2_binary64_6557` `*-commutative_binary64_6413`

Counts

4 → 108

Calls

4 calls:

18.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
15.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

series370.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
110.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
80.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
61.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5401	1566

prune114.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

Compiler

Compiled 2573 to 813 computations (68.4% saved)

regimes319.0ms (9%)

Compiler: Compiled 2969 to 2098 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample1.0s (28.8%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	128	valid
39.0ms	1068×	body	128	nan
15.0ms	407×	body	128	invalid

Compiler

Compiled 436 to 312 computations (28.4% saved)

Details

analyze160.0ms (4.5%)

sample23.0ms (0.6%)

simplify166.0ms (4.7%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

rewrite7.0ms (0.2%)

series59.0ms (1.7%)

simplify70.0ms (2%)

prune31.0ms (0.9%)

localize9.0ms (0.2%)

rewrite29.0ms (0.8%)

series347.0ms (9.8%)

simplify62.0ms (1.8%)

prune93.0ms (2.6%)

localize14.0ms (0.4%)

rewrite23.0ms (0.6%)

series297.0ms (8.4%)

simplify99.0ms (2.8%)

prune80.0ms (2.3%)

localize11.0ms (0.3%)

rewrite55.0ms (1.5%)

series370.0ms (10.4%)

simplify66.0ms (1.9%)

prune114.0ms (3.2%)

regimes319.0ms (9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28.8%)

Profiling