Details

analyze218.0ms (5.2%)

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)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
2.0ms	32×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify132.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_4533`
6×	`associate-r_binary64_4451`
5×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
4×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `sqrt-prod_binary64_4527`
3×	`associate-l_binary64_4452`
2×	`unswap-sqr_binary64_4479`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sum-log_binary64_4602` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

2 → 33

Calls

2 calls:

11.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series63.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
30.0ms	(*.f64 y (sqrt.f64 z))

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4961	474
1	4961	474

prune41.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Error

0.0b

Counts

40 → 7

Compiler

Compiled 609 to 288 computations (52.7% saved)

localize8.0ms (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)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_4527`
25×	`add-sqr-sqrt_binary64_4533`
18×	`associate-r_binary64_4451`
15×	`pow1_binary64_4572` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
8×	`sqrt-pow1_binary64_4529`
4×	`add-log-exp_binary64_4550` `associate-l_binary64_4452` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582` `rem-sqrt-square_binary64_4524` `pow1/2_binary64_4591`
3×	`unswap-sqr_binary64_4479`
2×	`*-commutative_binary64_4442`

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))

series244.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt.f64 (sqrt.f64 z))
67.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
63.0ms	(sqrt.f64 (sqrt.f64 z))
39.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4909	1032
1	4909	1032

prune105.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	97	10	107

Error

Counts

107 → 10

Compiler

Compiled 1811 to 706 computations (61% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
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))) (pow.f64 z 1/4))

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_4527`
20×	`add-sqr-sqrt_binary64_4533`
19×	`add-exp-log_binary64_4549`
16×	`associate-r_binary64_4451`
12×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`add-cbrt-cube_binary64_4547`
10×	`prod-exp_binary64_4560`
8×	`pow1_binary64_4572`
6×	`add-log-exp_binary64_4550`
4×	`associate-l_binary64_4452` `cbrt-unprod_binary64_4544` `sqrt-pow1_binary64_4529`
3×	`unswap-sqr_binary64_4479` `unpow-prod-down_binary64_4590`
2×	`pow-exp_binary64_4579` `pow-to-exp_binary64_4580` `*-commutative_binary64_4442` `rem-sqrt-square_binary64_4524` `pow1/2_binary64_4591`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `sqr-pow_binary64_4483` `sum-log_binary64_4602` `pow-prod-down_binary64_4582`

Counts

4 → 80

Calls

4 calls:

17.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
16.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
7.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
4.0ms	(sqrt.f64 (sqrt.f64 z))

series286.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
85.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
70.0ms	(sqrt.f64 (sqrt.f64 z))
40.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

simplify110.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4926	1333
1	4926	1333

prune140.0ms (3.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Error

Counts

102 → 9

Compiler

Compiled 1778 to 956 computations (46.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_4533`
28×	`sqrt-prod_binary64_4527`
19×	`add-exp-log_binary64_4549`
12×	`associate-l_binary64_4452` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`add-cbrt-cube_binary64_4547`
10×	`prod-exp_binary64_4560`
9×	`pow1_binary64_4572` `unswap-sqr_binary64_4479`
8×	`associate-r_binary64_4451`
7×	`sqrt-pow1_binary64_4529`
6×	`add-log-exp_binary64_4550` `unpow-prod-down_binary64_4590`
4×	`sqr-pow_binary64_4483` `cbrt-unprod_binary64_4544`
3×	`pow1/2_binary64_4591`
2×	`pow-prod-up_binary64_4581` `pow-exp_binary64_4579` `pow-to-exp_binary64_4580` `*-commutative_binary64_4442` `rem-sqrt-square_binary64_4524`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `sum-log_binary64_4602` `pow-prod-down_binary64_4582`

Counts

4 → 88

Calls

4 calls:

9.0ms	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))
8.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
4.0ms	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series272.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt.f64 (sqrt.f64 z))
83.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
55.0ms	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
43.0ms	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4976	1635
1	4976	1635

prune127.0ms (3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	100	9	109

Error

Counts

109 → 9

Compiler

Compiled 1878 to 1068 computations (43.1% saved)

regimes442.0ms (10.5%)

Accuracy

Total 0.1b remaining (85.1%)

Threshold costs 0.1b (85.1%)

Compiler

Compiled 2710 to 2105 computations (22.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample1.5s (36.6%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
63.0ms	1142×	body	128	nan
25.0ms	413×	body	128	invalid

Compiler

Compiled 399 to 313 computations (21.6% saved)

Details

analyze218.0ms (5.2%)

sample27.0ms (0.7%)

simplify132.0ms (3.2%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite20.0ms (0.5%)

series63.0ms (1.5%)

simplify61.0ms (1.4%)

prune41.0ms (1%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series244.0ms (5.8%)

simplify97.0ms (2.3%)

prune105.0ms (2.5%)

localize21.0ms (0.5%)

rewrite56.0ms (1.3%)

series286.0ms (6.8%)

simplify110.0ms (2.6%)

prune140.0ms (3.3%)

localize15.0ms (0.4%)

rewrite34.0ms (0.8%)

series272.0ms (6.5%)

simplify92.0ms (2.2%)

prune127.0ms (3%)

regimes442.0ms (10.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (36.6%)

Profiling