Details

analyze396.0ms (12.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	40
1	423	40
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
3×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-r_binary64_18091`
2×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
1×	`add-log-exp_binary64_18190` `associate-l_binary64_18092` `*-commutative_binary64_18082`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) y)

Compiler

Compiled 220 to 142 computations (35.5% saved)

series61.0ms (2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

57.0ms

(*.f64 (*.f64 x 3) y)

Compiler

Compiled 126 to 106 computations (15.9% saved)

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5268	200

prune21.0ms (0.7%)

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

0.0b

Counts

25 → 4

Compiler

Compiled 263 to 157 computations (40.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (.f64 3 y))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
3×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-l_binary64_18092`
2×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
1×	`add-log-exp_binary64_18190` `associate-r_binary64_18091` `*-commutative_binary64_18082`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 3 y))

Compiler

Compiled 220 to 142 computations (35.5% saved)

series56.0ms (1.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

53.0ms

(*.f64 x (*.f64 3 y))

Compiler

Compiled 126 to 106 computations (15.9% saved)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4889	198
1	4889	198

prune17.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	24	4	28

Error

0.0b

Counts

28 → 4

Compiler

Compiled 258 to 151 computations (41.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 3 (.f64 x y))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
3×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-l_binary64_18092`
2×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
1×	`add-log-exp_binary64_18190` `associate-r_binary64_18091` `*-commutative_binary64_18082`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 3 (*.f64 x y))

Compiler

Compiled 220 to 130 computations (40.9% saved)

series54.0ms (1.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

51.0ms

(*.f64 3 (*.f64 x y))

Compiler

Compiled 126 to 106 computations (15.9% saved)

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5204	198

prune15.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	24	4	28

Error

0.0b

Counts

28 → 4

Compiler

Compiled 251 to 145 computations (42.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 3 (.f64 x y))) (cbrt.f64 (.f64 3 (*.f64 x y))))
7.6b	(cbrt.f64 (.f64 3 (.f64 x y)))
7.6b	(cbrt.f64 (.f64 3 (.f64 x y)))
7.6b	(cbrt.f64 (.f64 3 (.f64 x y)))

rewrite95.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_18212`
10×	`add-sqr-sqrt_binary64_18173`
9×	`pow1/3_binary64_18233`
8×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
7×	`cbrt-prod_binary64_18182`
6×	`add-exp-log_binary64_18189`
4×	`add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187` `swap-sqr_binary64_18118` `associate-l_binary64_18092` `associate-r_binary64_18091`
2×	`pow-prod-down_binary64_18222` `pow-prod-up_binary64_18221` `pow-sqr_binary64_18124`
1×	`pow2_binary64_18232` `pow-plus_binary64_18214` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `unswap-sqr_binary64_18119` `*-commutative_binary64_18082`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 x y))) (cbrt.f64 (.f64 3 (*.f64 x y))))
4.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))

Compiler

Compiled 1629 to 948 computations (41.8% saved)

series980.0ms (31.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

290.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 x y))) (cbrt.f64 (.f64 3 (*.f64 x y))))
225.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))
219.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))
214.0ms	(cbrt.f64 (.f64 3 (.f64 x y)))

Compiler

Compiled 2022 to 1595 computations (21.1% saved)

simplify96.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5003	910

prune88.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Error

0.0b

Counts

86 → 4

Compiler

Compiled 1888 to 1094 computations (42.1% saved)

regimes185.0ms (6%)

Accuracy

Total 0.1b remaining (95.7%)

Threshold costs 0.1b (95.7%)

Compiler

Compiled 1575 to 1317 computations (16.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

Remove

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample714.0ms (23.1%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
6.0ms	276×	body	128	invalid

Compiler

Compiled 247 to 208 computations (15.8% saved)

Details

analyze396.0ms (12.8%)

sample21.0ms (0.7%)

simplify15.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite24.0ms (0.8%)

series61.0ms (2%)

simplify58.0ms (1.9%)

prune21.0ms (0.7%)

localize5.0ms (0.2%)

rewrite18.0ms (0.6%)

series56.0ms (1.8%)

simplify60.0ms (1.9%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

rewrite18.0ms (0.6%)

series54.0ms (1.7%)

simplify67.0ms (2.2%)

prune15.0ms (0.5%)

localize9.0ms (0.3%)

rewrite95.0ms (3.1%)

series980.0ms (31.7%)

simplify96.0ms (3.1%)

prune88.0ms (2.9%)

regimes185.0ms (6%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample714.0ms (23.1%)

Profiling