Details

analyze39.0ms (1.8%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify243.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5228	9

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (.f64 (.f64 x y) y))
0.1b	(.f64 (.f64 x y) y)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850`
4×	`add-log-exp_binary64_6853`
3×	`associate-r_binary64_6759` `pow-prod-down_binary64_6885` `cbrt-unprod_binary64_6847` `*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `prod-exp_binary64_6863` `add-cube-cbrt_binary64_6849`
1×	`exp-to-pow_binary64_6876` `rem-exp-log_binary64_6854` `exp-prod_binary64_6866` `associate-l_binary64_6760` `*-commutative_binary64_6750`

Counts

2 → 28

Calls

2 calls:

6.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

series91.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(.f64 (.f64 x y) y)
43.0ms	(exp.f64 (.f64 (.f64 x y) y))

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4984	310
1	4984	310

prune20.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

Compiler

Compiled 338 to 98 computations (71% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850`
9×	`pow-prod-down_binary64_6885` `cbrt-unprod_binary64_6847` `associate-l_binary64_6760` `prod-exp_binary64_6863`
7×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `add-cube-cbrt_binary64_6849`
6×	`add-log-exp_binary64_6853`
3×	`associate-r_binary64_6759` `*-commutative_binary64_6750`
1×	`exp-to-pow_binary64_6876` `rem-exp-log_binary64_6854` `exp-prod_binary64_6866`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))
3.0ms	(exp.f64 (.f64 y (.f64 x y)))

series102.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 y (.f64 x y))
28.0ms	(.f64 y (.f64 x y))
26.0ms	(.f64 y (.f64 x y))
20.0ms	(exp.f64 (.f64 y (.f64 x y)))

simplify76.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4905	634
1	4905	634

prune68.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

Compiler

Compiled 2014 to 309 computations (84.7% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))
18.0b	(sqrt.f64 (.f64 y (.f64 y x)))
18.0b	(sqrt.f64 (.f64 y (.f64 y x)))

rewrite29.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64_6875`
14×	`add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850`
12×	`pow-prod-down_binary64_6885`
6×	`cbrt-unprod_binary64_6847` `-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `sqrt-pow1_binary64_6834` `associate-l*_binary64_6760` `prod-exp_binary64_6863` `add-cube-cbrt_binary64_6849`
4×	`add-log-exp_binary64_6853`
2×	`associate-r_binary64_6759` `sqrt-prod_binary64_6832` `pow1/2_binary64_6894` `*-commutative_binary64_6750`

Counts

4 → 60

Calls

4 calls:

9.0ms	(.f64 y (.f64 x y))
6.0ms	(.f64 y (.f64 x y))
4.0ms	(sqrt.f64 (.f64 y (.f64 y x)))
4.0ms	(sqrt.f64 (.f64 y (.f64 y x)))

series157.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt.f64 (.f64 y (.f64 y x)))
51.0ms	(sqrt.f64 (.f64 y (.f64 y x)))
28.0ms	(.f64 y (.f64 x y))
27.0ms	(.f64 y (.f64 x y))

simplify99.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4918	724
1	4918	724

prune72.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

Compiler

Compiled 2527 to 421 computations (83.3% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))
0.8b	(exp.f64 (log.f64 (.f64 y (.f64 y x))))
20.2b	(log.f64 (.f64 y (.f64 y x)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64_6875`
20×	`add-exp-log_binary64_6852`
14×	`add-cbrt-cube_binary64_6850`
12×	`pow-prod-down_binary64_6885`
9×	`prod-exp_binary64_6863`
7×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `add-cube-cbrt_binary64_6849`
6×	`cbrt-unprod_binary64_6847` `exp-prod_binary64_6866` `associate-l_binary64_6760` `log-pow_binary64_6903`
4×	`add-log-exp_binary64_6853`
3×	`rem-log-exp_binary64_6855`
2×	`associate-r_binary64_6759` `log-prod_binary64_6900` `*-commutative_binary64_6750`
1×	`exp-sum_binary64_6860` `rem-exp-log_binary64_6854`

Counts

4 → 65

Calls

4 calls:

5.0ms	(.f64 y (.f64 x y))
5.0ms	(exp.f64 (log.f64 (.f64 y (.f64 y x))))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(log.f64 (.f64 y (.f64 y x)))

series229.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(exp.f64 (log.f64 (.f64 y (.f64 y x))))
67.0ms	(log.f64 (.f64 y (.f64 y x)))
27.0ms	(.f64 y (.f64 x y))
25.0ms	(.f64 y (.f64 x y))

simplify89.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4892	648
1	4892	648

prune70.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

Compiler

Compiled 2134 to 296 computations (86.1% saved)

regimes50.0ms (2.4%)

Compiler: Compiled 402 to 222 computations (44.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms (0%)

sample486.0ms (23%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
3.0ms	115×	body	128	invalid

Compiler

Compiled 107 to 62 computations (42.1% saved)

Details

analyze39.0ms (1.8%)

sample14.0ms (0.7%)

simplify243.0ms (11.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite13.0ms (0.6%)

series91.0ms (4.3%)

simplify66.0ms (3.1%)

prune20.0ms (1%)

localize8.0ms (0.4%)

rewrite27.0ms (1.3%)

series102.0ms (4.8%)

simplify76.0ms (3.6%)

prune68.0ms (3.2%)

localize15.0ms (0.7%)

rewrite29.0ms (1.4%)

series157.0ms (7.4%)

simplify99.0ms (4.7%)

prune72.0ms (3.4%)

localize17.0ms (0.8%)

rewrite27.0ms (1.3%)

series229.0ms (10.8%)

simplify89.0ms (4.2%)

prune70.0ms (3.3%)

regimes50.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample486.0ms (23%)

Profiling