Details

analyze40.0ms (1.5%)

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)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify164.0ms (6.2%)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_8052` `add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
3×	`cbrt-unprod_binary64_8024` `associate-r_binary64_7931` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062`
2×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991` `add-sqr-sqrt_binary64_8013`
1×	`-commutative_binary64_7922` `add-log-exp_binary64_8030` `associate-l*_binary64_7932`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series35.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4848	179
1	4848	179

prune39.0ms (1.5%)

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 501 to 397 computations (20.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_8052` `add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
3×	`cbrt-unprod_binary64_8024` `associate-l_binary64_7932` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062`
2×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991` `add-sqr-sqrt_binary64_8013`
1×	`-commutative_binary64_7922` `associate-r*_binary64_7931` `add-log-exp_binary64_8030`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series32.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify58.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4903	177
1	4903	177

prune26.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

Compiler

Compiled 378 to 280 computations (25.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_8022`
23×	`add-sqr-sqrt_binary64_8013`
15×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
11×	`pow1_binary64_8052`
9×	`pow1/3_binary64_8073`
6×	`associate-r_binary64_7931` `associate-l_binary64_7932` `swap-sqr_binary64_7958` `add-exp-log_binary64_8029`
4×	`add-cbrt-cube_binary64_8027` `add-log-exp_binary64_8030` `unswap-sqr_binary64_7959`
2×	`pow-sqr_binary64_7964` `pow-prod-up_binary64_8061` `pow-prod-down_binary64_8062`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `prod-exp_binary64_8040` `pow-plus_binary64_8054` `pow2_binary64_8072`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series634.0ms (23.8%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
158.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
153.0ms	(cbrt.f64 x)

simplify56.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5245	563

prune88.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 1596 to 850 computations (46.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
6.9b	(cbrt.f64 (.f64 (.f64 x 27) y))
6.9b	(cbrt.f64 (.f64 (.f64 x 27) y))
6.9b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_8052`
10×	`add-sqr-sqrt_binary64_8013`
9×	`pow1/3_binary64_8073`
8×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
7×	`cbrt-prod_binary64_8022`
6×	`add-exp-log_binary64_8029`
4×	`add-cbrt-cube_binary64_8027` `associate-r_binary64_7931` `add-log-exp_binary64_8030` `associate-l_binary64_7932` `swap-sqr_binary64_7958`
2×	`pow-sqr_binary64_7964` `pow-prod-up_binary64_8061` `pow-prod-down_binary64_8062`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `prod-exp_binary64_8040` `pow-plus_binary64_8054` `pow2_binary64_8072` `unswap-sqr_binary64_7959`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

series556.0ms (20.9%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
131.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
130.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
120.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4873	708
1	4873	708

prune130.0ms (4.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

Compiler

Compiled 2260 to 1677 computations (25.8% saved)

regimes105.0ms (3.9%)

Compiler: Compiled 753 to 619 computations (17.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample462.0ms (17.3%)

Algorithm

1×

intervals

Results

153.0ms	8000×	body	128	valid
1.0ms	76×	body	128	invalid

Compiler

Compiled 153 to 126 computations (17.6% saved)

Details

analyze40.0ms (1.5%)

sample15.0ms (0.6%)

simplify164.0ms (6.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series35.0ms (1.3%)

simplify59.0ms (2.2%)

prune39.0ms (1.5%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series32.0ms (1.2%)

simplify58.0ms (2.2%)

prune26.0ms (1%)

localize7.0ms (0.3%)

rewrite19.0ms (0.7%)

series634.0ms (23.8%)

simplify56.0ms (2.1%)

prune88.0ms (3.3%)

localize8.0ms (0.3%)

rewrite22.0ms (0.8%)

series556.0ms (20.9%)

simplify83.0ms (3.1%)

prune130.0ms (4.9%)

regimes105.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample462.0ms (17.3%)

Profiling