Details

analyze265.0ms (8.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14
72.6%	3.9%	23.5%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample192.0ms (5.9%)

Algorithm

2×

intervals

Results

9.0ms	512×	body	128	valid
4.0ms	173×	body	128	invalid

Compiler

Compiled 2081 to 2426 computations (-16.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) y)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

6×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
3×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `associate-r_binary64_7520`
2×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
1×	`add-log-exp_binary64_7619` `associate-l_binary64_7521` `*-commutative_binary64_7511`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 184 to 55 computations (70.1% saved)

series92.0ms (2.8%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

88.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5057	198

prune16.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.1b

Counts

25 → 4

Compiler

Compiled 203 to 60 computations (70.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite76.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`add-exp-log_binary64_7618` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1232 to 292 computations (76.3% saved)

series486.0ms (15%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

129.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
116.0ms	(cbrt.f64 y)
115.0ms	(cbrt.f64 y)
115.0ms	(cbrt.f64 y)

Compiler

Compiled 519 to 345 computations (33.5% saved)

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune70.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Error

0.1b

Counts

89 → 4

Compiler

Compiled 1263 to 365 computations (71.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.0b	(.f64 x (.f64 y y))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
3×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `add-sqr-sqrt_binary64_7602` `associate-l_binary64_7521`
2×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
1×	`add-log-exp_binary64_7619` `unswap-sqr_binary64_7548` `associate-r_binary64_7520` `*-commutative_binary64_7511`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 193 to 56 computations (71% saved)

series88.0ms (2.7%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

85.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5061	210

prune19.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Error

0.0b

Counts

29 → 7

Compiler

Compiled 245 to 78 computations (68.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.8b	(.f64 (.f64 y y) (cbrt.f64 x))
6.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))

rewrite82.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`pow1_binary64_7641` `add-exp-log_binary64_7618`
18×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `add-cbrt-cube_binary64_7616` `cbrt-unprod_binary64_7613`
10×	`add-sqr-sqrt_binary64_7602` `cbrt-prod_binary64_7611`
8×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
7×	`associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619`
2×	`associate-l_binary64_7521` `*-commutative_binary64_7511` `unswap-sqr_binary64_7548` `pow1/3_binary64_7662`

Counts

4 → 73

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))
7.0ms	(.f64 (.f64 y y) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1296 to 227 computations (82.5% saved)

series599.0ms (18.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

257.0ms	(.f64 (.f64 y y) (cbrt.f64 x))
120.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))
105.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 x)

Compiler

Compiled 624 to 438 computations (29.8% saved)

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4883	755
1	4883	755

prune59.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Error

0.0b

Counts

98 → 7

Compiler

Compiled 1125 to 236 computations (79% saved)

regimes111.0ms (3.4%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

Compiler

Compiled 809 to 475 computations (41.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample769.0ms (23.7%)

Algorithm

1×

intervals

Results

163.0ms	8000×	body	128	valid
47.0ms	2676×	body	128	invalid

Compiler

Compiled 276 to 164 computations (40.6% saved)

Details

analyze265.0ms (8.2%)

sample192.0ms (5.9%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite21.0ms (0.7%)

series92.0ms (2.8%)

simplify54.0ms (1.7%)

prune16.0ms (0.5%)

localize7.0ms (0.2%)

rewrite76.0ms (2.3%)

series486.0ms (15%)

simplify75.0ms (2.3%)

prune70.0ms (2.2%)

localize3.0ms (0.1%)

rewrite21.0ms (0.6%)

series88.0ms (2.7%)

simplify62.0ms (1.9%)

prune19.0ms (0.6%)

localize7.0ms (0.2%)

rewrite82.0ms (2.5%)

series599.0ms (18.5%)

simplify55.0ms (1.7%)

prune59.0ms (1.8%)

regimes111.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample769.0ms (23.7%)

Profiling