Details

analyze44.0ms (1.4%)

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
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

Compiler

Compiled 6 to 6 computations (0% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify178.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

prune3.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
3×	`pow-prod-down_binary64_9581` `associate-r_binary64_9455` `prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
2×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513` `add-sqr-sqrt_binary64_9534`
1×	`add-log-exp_binary64_9549` `associate-l_binary64_9456` `*-commutative_binary64_9446`

Counts

1 → 18

Calls

1 calls:

8.0ms

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

series41.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4848	179
1	4848	179

prune21.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

Compiler

Compiled 211 to 149 computations (29.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(.f64 x (.f64 27 y))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
3×	`pow-prod-down_binary64_9581` `prod-exp_binary64_9559` `associate-l_binary64_9456` `cbrt-unprod_binary64_9543`
2×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513` `add-sqr-sqrt_binary64_9534`
1×	`associate-r_binary64_9455` `add-log-exp_binary64_9549` `*-commutative_binary64_9446`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series35.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4903	177
1	4903	177

prune20.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

Compiler

Compiled 217 to 153 computations (29.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9541`
23×	`add-sqr-sqrt_binary64_9534`
15×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513`
11×	`pow1_binary64_9571`
9×	`pow1/3_binary64_9592`
6×	`associate-r_binary64_9455` `add-exp-log_binary64_9548` `associate-l_binary64_9456` `swap-sqr_binary64_9480`
4×	`add-log-exp_binary64_9549` `add-cbrt-cube_binary64_9546` `unswap-sqr_binary64_9481`
2×	`pow-prod-down_binary64_9581` `pow-sqr_binary64_9486` `pow-prod-up_binary64_9580`
1×	`pow-plus_binary64_9573` `prod-exp_binary64_9559` `*-commutative_binary64_9446` `pow2_binary64_9591` `cbrt-unprod_binary64_9543`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series690.0ms (22.5%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
172.0ms	(cbrt.f64 y)
161.0ms	(cbrt.f64 y)
156.0ms	(cbrt.f64 y)

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune77.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

Compiler

Compiled 1329 to 636 computations (52.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_9541`
14×	`add-cube-cbrt_binary64_9545` `*-un-lft-identity_binary64_9513` `add-sqr-sqrt_binary64_9534`
9×	`unpow-prod-down_binary64_9589`
5×	`add-exp-log_binary64_9548` `pow1_binary64_9571`
4×	`add-log-exp_binary64_9549` `add-cbrt-cube_binary64_9546` `pow1/3_binary64_9592`
3×	`pow-unpow_binary64_9587`
2×	`pow-pow_binary64_9582`
1×	`pow-to-exp_binary64_9579` `pow-exp_binary64_9578` `sqr-pow_binary64_9485`

Counts

4 → 66

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))

series921.0ms (30.1%)

Counts

4 → 12

Calls

4 calls:

287.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
224.0ms	(cbrt.f64 (cbrt.f64 y))
206.0ms	(cbrt.f64 (cbrt.f64 y))
204.0ms	(cbrt.f64 (cbrt.f64 y))

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4848	782
1	4848	782

prune90.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	4	6
Picked	1	0	1
Done	0	3	3
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

Compiler

Compiled 1867 to 776 computations (58.4% saved)

regimes72.0ms (2.3%)

Compiler: Compiled 348 to 274 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample428.0ms (14%)

Algorithm

1×

intervals

Results

152.0ms	8000×	body	128	valid
1.0ms	67×	body	128	invalid

Compiler

Compiled 93 to 75 computations (19.4% saved)

Details

analyze44.0ms (1.4%)

sample19.0ms (0.6%)

simplify178.0ms (5.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series41.0ms (1.3%)

simplify76.0ms (2.5%)

prune21.0ms (0.7%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series35.0ms (1.1%)

simplify78.0ms (2.5%)

prune20.0ms (0.7%)

localize8.0ms (0.2%)

rewrite17.0ms (0.5%)

series690.0ms (22.5%)

simplify97.0ms (3.2%)

prune77.0ms (2.5%)

localize14.0ms (0.5%)

rewrite18.0ms (0.6%)

series921.0ms (30.1%)

simplify90.0ms (2.9%)

prune90.0ms (2.9%)

regimes72.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample428.0ms (14%)

Profiling