Details

analyze40.0ms (1.6%)

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)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

prune7.0ms (0.3%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series34.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify62.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4848	179
1	4848	179

prune19.0ms (0.8%)

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 218 to 154 computations (29.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 x (.f64 27 y))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series33.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4903	177
1	4903	177

prune18.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	19	8	27

Merged error: 0.0b

Counts

27 → 8

Compiler

Compiled 236 to 166 computations (29.7% saved)

localize8.0ms (0.3%)

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)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series644.0ms (26.5%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt.f64 y)
174.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
152.0ms	(cbrt.f64 y)
140.0ms	(cbrt.f64 y)

simplify75.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune70.0ms (2.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

Compiler

Compiled 1331 to 638 computations (52.1% 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)))
9.2b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.2b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.2b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.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))

series570.0ms (23.5%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
142.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
138.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
118.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

simplify87.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5508	724

prune75.0ms (3.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

Compiler

Compiled 1462 to 1039 computations (28.9% saved)

regimes78.0ms (3.2%)

Compiler: Compiled 456 to 366 computations (19.7% 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%)

sample446.0ms (18.4%)

Algorithm

1×

intervals

Results

149.0ms	8000×	body	128	valid
1.0ms	80×	body	128	invalid

Compiler

Compiled 120 to 98 computations (18.3% saved)

Details

analyze40.0ms (1.6%)

sample10.0ms (0.4%)

simplify9.0ms (0.4%)

prune7.0ms (0.3%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series34.0ms (1.4%)

simplify62.0ms (2.6%)

prune19.0ms (0.8%)

localize4.0ms (0.1%)

rewrite6.0ms (0.3%)

series33.0ms (1.4%)

simplify68.0ms (2.8%)

prune18.0ms (0.7%)

localize8.0ms (0.3%)

rewrite16.0ms (0.7%)

series644.0ms (26.5%)

simplify75.0ms (3.1%)

prune70.0ms (2.9%)

localize8.0ms (0.3%)

rewrite26.0ms (1.1%)

series570.0ms (23.5%)

simplify87.0ms (3.6%)

prune75.0ms (3.1%)

regimes78.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample446.0ms (18.4%)

Profiling