Details

analyze89.0ms (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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

prune2.0ms (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: 28.7b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+.f64 (.f64 re re) (.f64 im im))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series94.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
44.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify175.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4915	469
1	4915	469

prune30.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Merged error: 7.9b

Counts

35 → 5

Compiler

Compiled 451 to 122 computations (72.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
7×	`pow1_binary64`
6×	`cbrt-prod_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 65

Calls

4 calls:

6.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series281.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
52.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
50.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
50.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify178.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4905	1145
1	4905	1145

prune78.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	77	5	82

Merged error: 7.9b

Counts

82 → 5

Compiler

Compiled 2594 to 361 computations (86.1% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

4.2b	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
26.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`log-prod_binary64` `exp-sum_binary64`
8×	`pow1_binary64` `sqrt-div_binary64`
6×	`cbrt-prod_binary64`
5×	`exp-prod_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`cbrt-div_binary64` `log-pow_binary64` `exp-diff_binary64` `log-div_binary64`
1×	`pow1/3_binary64` `rem-exp-log_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series272.0ms (12%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
47.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
46.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
46.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify147.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4894	1279
1	4894	1279

prune90.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 7.9b

Counts

90 → 5

Compiler

Compiled 2982 to 407 computations (86.4% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify19.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 7.9b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes164.0ms (7.2%)

Compiler: Compiled 506 to 295 computations (41.7% saved)

bsearch27.0ms (1.2%)

Steps

Iters	Range		Point
8	2.5228489614243994e+109	3.2656734255202333e+112	1.2524305671933436e+112
8	-1.5184560566348106e+89	-1.0176689622611568e+86	-2.4399094822712194e+88

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample486.0ms (21.5%)

Algorithm

1×

intervals

Results

254.0ms

8000×

body

valid

Compiler

Compiled 71 to 46 computations (35.2% saved)

Details

analyze89.0ms (4%)

sample14.0ms (0.6%)

simplify20.0ms (0.9%)

prune2.0ms (0.1%)

localize8.0ms (0.4%)

rewrite11.0ms (0.5%)

series94.0ms (4.2%)

simplify175.0ms (7.7%)

prune30.0ms (1.3%)

localize9.0ms (0.4%)

rewrite22.0ms (1%)

series281.0ms (12.4%)

simplify178.0ms (7.9%)

prune78.0ms (3.5%)

localize13.0ms (0.6%)

rewrite25.0ms (1.1%)

series272.0ms (12%)

simplify147.0ms (6.5%)

prune90.0ms (4%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify19.0ms (0.9%)

prune0.0ms (0%)

regimes164.0ms (7.2%)

bsearch27.0ms (1.2%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample486.0ms (21.5%)

Profiling