Details

analyze153.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	14
1	16	14
0	2	2
1	2	2

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

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

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 27) y)

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
3×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-r_binary64_4110`
2×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
1×	`add-log-exp_binary64_4209` `associate-l_binary64_4111` `*-commutative_binary64_4101`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 184 to 123 computations (33.2% saved)

series53.0ms (2.7%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

50.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 90 to 75 computations (16.7% saved)

simplify58.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4888	200
1	4888	200

prune19.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Error

0.0b

Counts

25 → 6

Compiler

Compiled 218 to 135 computations (38.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (.f64 27 y))

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
3×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-l_binary64_4111`
2×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
1×	`add-log-exp_binary64_4209` `associate-r_binary64_4110` `*-commutative_binary64_4101`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 27 y))

Compiler

Compiled 184 to 123 computations (33.2% saved)

series51.0ms (2.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

48.0ms

(*.f64 x (*.f64 27 y))

Compiler

Compiled 90 to 75 computations (16.7% saved)

simplify60.0ms (3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4915	198
1	4915	198

prune16.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Error

0.0b

Counts

30 → 7

Compiler

Compiled 224 to 138 computations (38.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 27 (.f64 x y))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
3×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-l_binary64_4111`
2×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
1×	`add-log-exp_binary64_4209` `associate-r_binary64_4110` `*-commutative_binary64_4101`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 27 (*.f64 x y))

Compiler

Compiled 184 to 111 computations (39.7% saved)

series48.0ms (2.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

45.0ms

(*.f64 27 (*.f64 x y))

Compiler

Compiled 90 to 75 computations (16.7% saved)

simplify65.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5051	198

prune17.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	24	7	31

Error

0.0b

Counts

31 → 7

Compiler

Compiled 219 to 134 computations (38.8% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite66.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`add-exp-log_binary64_4208` `swap-sqr_binary64_4137` `associate-l_binary64_4111` `associate-r_binary64_4110`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
2×	`pow-prod-down_binary64_4241` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
1×	`pow2_binary64_4251` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.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 452 computations (63.3% saved)

series316.0ms (16%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
77.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)
71.0ms	(cbrt.f64 y)

Compiler

Compiled 519 to 394 computations (24.1% saved)

simplify75.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune61.0ms (3.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	84	8	92

Error

Counts

92 → 8

Compiler

Compiled 1233 to 555 computations (55% saved)

regimes161.0ms (8.1%)

Accuracy

Total 0.3b remaining (97.7%)

Threshold costs 0.3b (97.7%)

Compiler

Compiled 1275 to 1009 computations (20.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

Remove

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample649.0ms (32.8%)

Algorithm

1×

intervals

Results

142.0ms	8000×	body	128	valid
1.0ms	87×	body	128	invalid

Compiler

Compiled 283 to 224 computations (20.8% saved)

Details

analyze153.0ms (7.7%)

sample22.0ms (1.1%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite21.0ms (1.1%)

series53.0ms (2.7%)

simplify58.0ms (2.9%)

prune19.0ms (1%)

localize3.0ms (0.2%)

rewrite17.0ms (0.9%)

series51.0ms (2.6%)

simplify60.0ms (3%)

prune16.0ms (0.8%)

localize3.0ms (0.2%)

rewrite19.0ms (1%)

series48.0ms (2.4%)

simplify65.0ms (3.3%)

prune17.0ms (0.8%)

localize7.0ms (0.4%)

rewrite66.0ms (3.3%)

series316.0ms (16%)

simplify75.0ms (3.8%)

prune61.0ms (3.1%)

regimes161.0ms (8.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

end0.0ms (0%)

sample649.0ms (32.8%)

Profiling