Details

analyze20.0ms (0.4%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	241×	body	128	valid
0.0ms	5×	body	1024	valid
0.0ms	5×	body	256	valid
0.0ms	3×	body	512	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify183.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	79	7
1	79	7

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7342`
1×	`add-cube-cbrt_binary64_7338` `flip3--_binary64_7307` `add-sqr-sqrt_binary64_7325` `diff-log_binary64_7395` `sub-neg_binary64_7296` `add-exp-log_binary64_7341` `flip--_binary64_7278` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `cancel-sign-sub-inv_binary64_7269` `*-un-lft-identity_binary64_7303`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 3/8 y))

series39.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(-.f64 x (*.f64 3/8 y))

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5143	165

prune32.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

Compiler

Compiled 340 to 266 computations (21.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_7334`
23×	`add-sqr-sqrt_binary64_7325`
18×	`cbrt-div_binary64_7335`
15×	`add-cube-cbrt_binary64_7338` `*-un-lft-identity_binary64_7303`
11×	`pow1_binary64_7364`
9×	`flip3--_binary64_7307` `flip--_binary64_7278` `pow1/3_binary64_7385`
6×	`add-exp-log_binary64_7341` `swap-sqr_binary64_7270` `associate-l_binary64_7244` `associate-r_binary64_7243`
4×	`frac-times_binary64_7313` `add-cbrt-cube_binary64_7339` `unswap-sqr_binary64_7271` `add-log-exp_binary64_7342`
2×	`pow-prod-down_binary64_7374` `associate-r/_binary64_7245` `pow-sqr_binary64_7276` `associate-l/_binary64_7246` `pow-prod-up_binary64_7373`
1×	`pow-plus_binary64_7366` `*-commutative_binary64_7234` `cbrt-unprod_binary64_7336` `pow2_binary64_7384` `prod-exp_binary64_7352`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series965.0ms (18.6%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
245.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
236.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
236.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4800	1786
1	4800	1786

prune205.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

Compiler

Compiled 3535 to 2619 computations (25.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_7334`
12×	`cbrt-div_binary64_7335`
10×	`add-cube-cbrt_binary64_7338` `add-sqr-sqrt_binary64_7325` `*-un-lft-identity_binary64_7303`
4×	`flip3--_binary64_7307` `add-exp-log_binary64_7341` `flip--_binary64_7278` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `pow1/3_binary64_7385` `add-log-exp_binary64_7342`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series960.0ms (18.5%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
242.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
237.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify137.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4820	1218
1	4820	1218

prune219.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Merged error: 0b

Counts

76 → 8

Compiler

Compiled 3812 to 2912 computations (23.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`cbrt-prod_binary64_7334`
22×	`cbrt-div_binary64_7335`
15×	`add-cube-cbrt_binary64_7338` `add-sqr-sqrt_binary64_7325` `*-un-lft-identity_binary64_7303`
4×	`flip3--_binary64_7307` `add-exp-log_binary64_7341` `flip--_binary64_7278` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `pow1/3_binary64_7385` `add-log-exp_binary64_7342`

Counts

4 → 73

Calls

4 calls:

6.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
5.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
5.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

series961.0ms (18.5%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
241.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
239.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))))
230.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify146.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4785	1825
1	4785	1825

prune284.0ms (5.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0b

Counts

93 → 8

Compiler

Compiled 4896 to 3765 computations (23.1% saved)

regimes52.0ms (1%)

Compiler: Compiled 486 to 388 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample606.0ms (11.7%)

Algorithm

1×

intervals

Results

180.0ms	7436×	body	128	valid
17.0ms	176×	body	2048	valid
15.0ms	193×	body	1024	valid
8.0ms	123×	body	512	valid
3.0ms	72×	body	256	valid

Compiler

Compiled 254 to 205 computations (19.3% saved)

Details

analyze20.0ms (0.4%)

sample13.0ms (0.3%)

simplify183.0ms (3.5%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite5.0ms (0.1%)

series39.0ms (0.8%)

simplify104.0ms (2%)

prune32.0ms (0.6%)

localize8.0ms (0.2%)

rewrite30.0ms (0.6%)

series965.0ms (18.6%)

simplify106.0ms (2%)

prune205.0ms (4%)

localize14.0ms (0.3%)

rewrite21.0ms (0.4%)

series960.0ms (18.5%)

simplify137.0ms (2.6%)

prune219.0ms (4.2%)

localize21.0ms (0.4%)

rewrite36.0ms (0.7%)

series961.0ms (18.5%)

simplify146.0ms (2.8%)

prune284.0ms (5.5%)

regimes52.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample606.0ms (11.7%)

Profiling