Details

analyze48.0ms (1.8%)

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)

sample11.0ms (0.4%)

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)

simplify162.0ms (6.1%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_5504` `add-cbrt-cube_binary64_5502` `pow1_binary64_5527`
3×	`pow-prod-down_binary64_5537` `associate-r_binary64_5411` `cbrt-unprod_binary64_5499` `prod-exp_binary64_5515`
2×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469` `add-sqr-sqrt_binary64_5490`
1×	`-commutative_binary64_5402` `associate-l*_binary64_5412` `add-log-exp_binary64_5505`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series31.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4848	179
1	4848	179

prune21.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

Compiler

Compiled 231 to 165 computations (28.6% saved)

localize4.0ms (0.1%)

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×	`add-exp-log_binary64_5504` `add-cbrt-cube_binary64_5502` `pow1_binary64_5527`
3×	`pow-prod-down_binary64_5537` `cbrt-unprod_binary64_5499` `associate-l_binary64_5412` `prod-exp_binary64_5515`
2×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469` `add-sqr-sqrt_binary64_5490`
1×	`associate-r_binary64_5411` `*-commutative_binary64_5402` `add-log-exp_binary64_5505`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series34.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4903	177
1	4903	177

prune19.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	19	9	28

Merged error: 0.0b

Counts

28 → 9

Compiler

Compiled 249 to 177 computations (28.9% 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 (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5497`
23×	`add-sqr-sqrt_binary64_5490`
15×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469`
11×	`pow1_binary64_5527`
9×	`pow1/3_binary64_5548`
6×	`swap-sqr_binary64_5436` `associate-r_binary64_5411` `add-exp-log_binary64_5504` `associate-l_binary64_5412`
4×	`add-cbrt-cube_binary64_5502` `unswap-sqr_binary64_5437` `add-log-exp_binary64_5505`
2×	`pow-prod-down_binary64_5537` `pow-prod-up_binary64_5536` `pow-sqr_binary64_5442`
1×	`pow2_binary64_5547` `cbrt-unprod_binary64_5499` `pow-plus_binary64_5529` `*-commutative_binary64_5402` `prod-exp_binary64_5515`

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)

series666.0ms (24.9%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
165.0ms	(cbrt.f64 y)
162.0ms	(cbrt.f64 y)
155.0ms	(cbrt.f64 y)

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune71.0ms (2.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Merged error: 0b

Counts

94 → 10

Compiler

Compiled 1332 to 642 computations (51.8% saved)

localize10.0ms (0.4%)

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)))
11.2b	(cbrt.f64 (.f64 (.f64 x 27) y))
11.2b	(cbrt.f64 (.f64 (.f64 x 27) y))
11.2b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5527`
10×	`add-sqr-sqrt_binary64_5490`
9×	`pow1/3_binary64_5548`
8×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469`
7×	`cbrt-prod_binary64_5497`
6×	`add-exp-log_binary64_5504`
4×	`swap-sqr_binary64_5436` `associate-r_binary64_5411` `add-cbrt-cube_binary64_5502` `associate-l_binary64_5412` `add-log-exp_binary64_5505`
2×	`pow-prod-down_binary64_5537` `pow-prod-up_binary64_5536` `pow-sqr_binary64_5442`
1×	`pow2_binary64_5547` `cbrt-unprod_binary64_5499` `unswap-sqr_binary64_5437` `pow-plus_binary64_5529` `*-commutative_binary64_5402` `prod-exp_binary64_5515`

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))

series560.0ms (21%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
131.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
131.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
127.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5508	724

prune76.0ms (2.8%)

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: 0b

Counts

80 → 10

Compiler

Compiled 1462 to 1039 computations (28.9% saved)

regimes95.0ms (3.5%)

Compiler: Compiled 612 to 502 computations (18% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample528.0ms (19.8%)

Algorithm

1×

intervals

Results

157.0ms	8000×	body	128	valid
2.0ms	98×	body	128	invalid

Compiler

Compiled 159 to 132 computations (17% saved)

Details

analyze48.0ms (1.8%)

sample11.0ms (0.4%)

simplify162.0ms (6.1%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series31.0ms (1.2%)

simplify57.0ms (2.1%)

prune21.0ms (0.8%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series34.0ms (1.3%)

simplify60.0ms (2.3%)

prune19.0ms (0.7%)

localize8.0ms (0.3%)

rewrite16.0ms (0.6%)

series666.0ms (24.9%)

simplify70.0ms (2.6%)

prune71.0ms (2.6%)

localize10.0ms (0.4%)

rewrite24.0ms (0.9%)

series560.0ms (21%)

simplify79.0ms (3%)

prune76.0ms (2.8%)

regimes95.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample528.0ms (19.8%)

Profiling