Details

analyze237.0ms (7.4%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify176.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	180	10
1	180	10

prune3.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_9212`
1×	`pow1_binary64_9234` `add-exp-log_binary64_9211` `add-cube-cbrt_binary64_9208` `sub-neg_binary64_9169` `diff-log_binary64_9265` `*-un-lft-identity_binary64_9176` `add-cbrt-cube_binary64_9209` `add-sqr-sqrt_binary64_9197` `flip--_binary64_9151` `flip3--_binary64_9180`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

series77.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

77.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5180	209

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 187 to 124 computations (33.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.2b	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_9197`
24×	`sqrt-prod_binary64_9191`
21×	`pow1_binary64_9234`
16×	`sqrt-div_binary64_9192`
14×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176`
10×	`sqrt-pow1_binary64_9193` `pow1/2_binary64_9253`
9×	`flip--_binary64_9151` `flip3--_binary64_9180`
8×	`swap-sqr_binary64_9143`
6×	`associate-r_binary64_9118` `add-exp-log_binary64_9211` `add-log-exp_binary64_9212` `add-cbrt-cube_binary64_9209` `associate-l_binary64_9119`
5×	`pow-prod-up_binary64_9243`
4×	`unswap-sqr_binary64_9144` `frac-times_binary64_9186`
3×	`pow-prod-down_binary64_9244` `pow-sqr_binary64_9149`
2×	`associate-r/_binary64_9120` `associate-l/_binary64_9121` `rem-sqrt-square_binary64_9189`
1×	`pow2_binary64_9254` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `sub-neg_binary64_9169` `rem-square-sqrt_binary64_9188` `diff-log_binary64_9265` `sqrt-unprod_binary64_9195` `*-commutative_binary64_9109` `pow-plus_binary64_9236`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
4.0ms	(-.f64 x (.f64 (.f64 y 4) z))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

series458.0ms (14.3%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
139.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
98.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
76.0ms	(-.f64 x (.f64 (.f64 y 4) z))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4929	2006
1	4929	2006

prune115.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

Compiler

Compiled 2334 to 1520 computations (34.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z)))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))

rewrite50.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`cbrt-prod_binary64_9204`
44×	`add-sqr-sqrt_binary64_9197`
29×	`sqrt-prod_binary64_9191`
22×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176`
18×	`sqrt-div_binary64_9192` `cbrt-div_binary64_9205`
11×	`pow1_binary64_9234` `swap-sqr_binary64_9143`
9×	`associate-r_binary64_9118` `unswap-sqr_binary64_9144` `pow1/3_binary64_9255` `associate-l_binary64_9119` `flip--_binary64_9151` `flip3--_binary64_9180`
6×	`add-exp-log_binary64_9211`
4×	`frac-times_binary64_9186` `add-log-exp_binary64_9212` `add-cbrt-cube_binary64_9209`
2×	`associate-r/_binary64_9120` `associate-l/_binary64_9121` `pow-prod-down_binary64_9244` `pow-sqr_binary64_9149` `pow-prod-up_binary64_9243`
1×	`pow2_binary64_9254` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `*-commutative_binary64_9109` `pow-plus_binary64_9236`

Counts

4 → 112

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z)))))
5.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))

series911.0ms (28.5%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z)))))
226.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
223.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))
219.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))))

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4932	3668
1	4932	3668

prune307.0ms (9.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0b

Counts

127 → 3

Compiler

Compiled 5813 to 4040 computations (30.5% saved)

regimes72.0ms (2.3%)

Compiler: Compiled 408 to 354 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample497.0ms (15.6%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
6.0ms	251×	body	128	invalid

Compiler

Compiled 77 to 68 computations (11.7% saved)

Details

analyze237.0ms (7.4%)

sample14.0ms (0.4%)

simplify176.0ms (5.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.1%)

series77.0ms (2.4%)

simplify59.0ms (1.9%)

prune12.0ms (0.4%)

localize8.0ms (0.2%)

rewrite36.0ms (1.1%)

series458.0ms (14.3%)

simplify56.0ms (1.7%)

prune115.0ms (3.6%)

localize12.0ms (0.4%)

rewrite50.0ms (1.6%)

series911.0ms (28.5%)

simplify82.0ms (2.6%)

prune307.0ms (9.6%)

regimes72.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample497.0ms (15.6%)

Profiling