Details

analyze38.0ms (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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	232×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify26.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	311	10
1	311	10

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

simplify129.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5349	228

prune42.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

Compiler

Compiled 277 to 165 computations (40.4% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 3/2) (.f64 y 1/2))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5137	209

prune19.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

Compiler

Compiled 267 to 194 computations (27.3% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

rewrite104.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

44.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
18.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
18.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
18.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series206.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
55.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
44.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
37.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify102.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4907	2505
1	4907	2505

prune125.0ms (4.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

Compiler

Compiled 3753 to 2194 computations (41.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

rewrite94.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
42×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
36×	`cbrt-div_binary64`
22×	`add-cube-cbrt_binary64`
12×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

52.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
13.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

series223.0ms (8%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
58.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
56.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
46.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))

simplify172.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4883	3788
1	4883	3788

prune274.0ms (9.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	130	10	140

Merged error: 0.0b

Counts

140 → 10

Compiler

Compiled 7218 to 4337 computations (39.9% saved)

regimes161.0ms (5.8%)

Compiler: Compiled 1068 to 735 computations (31.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample931.0ms (33.3%)

Algorithm

1×

intervals

Results

157.0ms	7378×	body	80	valid
20.0ms	227×	body	1280	valid
12.0ms	169×	body	640	valid
9.0ms	87×	body	2560	valid
5.0ms	87×	body	320	valid
2.0ms	52×	body	160	valid
0.0ms	6×	body	80	invalid

Compiler

Compiled 300 to 212 computations (29.3% saved)

Details

analyze38.0ms (1.4%)

sample12.0ms (0.4%)

simplify26.0ms (0.9%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

rewrite9.0ms (0.3%)

series6.0ms (0.2%)

simplify129.0ms (4.6%)

prune42.0ms (1.5%)

localize9.0ms (0.3%)

rewrite5.0ms (0.2%)

series6.0ms (0.2%)

simplify63.0ms (2.3%)

prune19.0ms (0.7%)

localize15.0ms (0.5%)

rewrite104.0ms (3.7%)

series206.0ms (7.4%)

simplify102.0ms (3.6%)

prune125.0ms (4.5%)

localize13.0ms (0.4%)

rewrite94.0ms (3.4%)

series223.0ms (8%)

simplify172.0ms (6.2%)

prune274.0ms (9.8%)

regimes161.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample931.0ms (33.3%)

Profiling