Details

analyze136.0ms (3.5%)

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
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify196.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5072	43

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.1b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_2380`
17×	`add-sqr-sqrt_binary64_2457` `add-exp-log_binary64_2471` `pow1_binary64_2494`
16×	`add-cbrt-cube_binary64_2469`
15×	`*-un-lft-identity_binary64_2436`
13×	`associate-r_binary64_2378`
10×	`add-cube-cbrt_binary64_2468`
7×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466`
5×	`associate-l_binary64_2379`
4×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `frac-add_binary64_2444` `add-log-exp_binary64_2472`
3×	`distribute-rgt-in_binary64_2388` `*-commutative_binary64_2369` `unpow-prod-down_binary64_2512` `flip3--_binary64_2440` `pow-unpow_binary64_2510` `unswap-sqr_binary64_2404` `flip--_binary64_2411` `distribute-lft-in_binary64_2387`
2×	`sub-neg_binary64_2429` `difference-of-squares_binary64_2405`
1×	`distribute-lft-out_binary64_2389` `distribute-lft-out--_binary64_2390` `unpow2_binary64_2498` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `sqr-pow_binary64_2408`

Counts

4 → 94

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series242.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
66.0ms	(.f64 (.f64 a a) (-.f64 1 a))
58.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
45.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4986	1872
1	4986	1872

prune157.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

Compiler

Compiled 3819 to 1988 computations (47.9% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.1b	(.f64 a (.f64 b b))
0.1b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(.f64 a (.f64 a (*.f64 b b)))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `pow1_binary64_2494`
15×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466`
14×	`add-sqr-sqrt_binary64_2457`
13×	`*-un-lft-identity_binary64_2436`
12×	`associate-r_binary64_2378`
8×	`add-cube-cbrt_binary64_2468` `associate-l_binary64_2379`
4×	`-commutative_binary64_2369` `add-log-exp_binary64_2472` `associate-r/_binary64_2380`
3×	`unswap-sqr_binary64_2404`
2×	`distribute-rgt-in_binary64_2388` `distribute-lft-in_binary64_2387` `sub-neg_binary64_2429` `difference-of-squares_binary64_2405`
1×	`flip3-+_binary64_2439` `distribute-lft-out_binary64_2389` `distribute-lft-out--_binary64_2390` `flip-+_binary64_2410` `flip3--_binary64_2440` `flip--_binary64_2411`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

series210.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (.f64 a a) (-.f64 1 a))
47.0ms	(.f64 (.f64 b b) (+.f64 3 a))
47.0ms	(.f64 a (.f64 a (*.f64 b b)))
46.0ms	(.f64 a (.f64 b b))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4925	1053
1	4925	1053

prune170.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

Compiler

Compiled 4121 to 2336 computations (43.3% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.1b	(.f64 (.f64 b b) (+.f64 3 a))
0.2b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
25.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2457` `add-exp-log_binary64_2471` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494`
14×	`add-cbrt-cube_binary64_2469`
10×	`add-cube-cbrt_binary64_2468` `associate-r_binary64_2378`
7×	`cbrt-prod_binary64_2464`
6×	`prod-exp_binary64_2482` `unpow-prod-down_binary64_2512` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466`
4×	`add-log-exp_binary64_2472` `associate-*r/_binary64_2380`
3×	`pow-unpow_binary64_2510`
2×	`distribute-rgt-in_binary64_2388` `-commutative_binary64_2369` `unswap-sqr_binary64_2404` `sqr-pow_binary64_2408` `associate-l*_binary64_2379` `distribute-lft-in_binary64_2387` `sub-neg_binary64_2429` `difference-of-squares_binary64_2405`
1×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `distribute-lft-out_binary64_2389` `distribute-lft-out--_binary64_2390` `flip-+_binary64_2410` `flip3--_binary64_2440` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `flip--_binary64_2411`

Counts

4 → 82

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

series531.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

356.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
73.0ms	(.f64 (.f64 a a) (-.f64 1 a))
55.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
47.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5021	1342

prune134.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

Compiler

Compiled 3282 to 1719 computations (47.6% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
21.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
27.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_2464`
12×	`add-sqr-sqrt_binary64_2457` `unpow-prod-down_binary64_2512` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
6×	`pow-unpow_binary64_2510` `add-exp-log_binary64_2471` `pow1_binary64_2494`
4×	`add-log-exp_binary64_2472` `add-cbrt-cube_binary64_2469` `sqr-pow_binary64_2408`
2×	`pow1/3_binary64_2515` `unpow2_binary64_2498` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `pow-pow_binary64_2505`

Counts

4 → 66

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

series513.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4))
156.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)
143.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
49.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5264	1488

prune129.0ms (3.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

Compiler

Compiled 3658 to 1721 computations (53% saved)

regimes86.0ms (2.2%)

Compiler: Compiled 913 to 600 computations (34.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample813.0ms (21.1%)

Algorithm

1×

intervals

Results

508.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 204 to 137 computations (32.8% saved)

Details

analyze136.0ms (3.5%)

sample24.0ms (0.6%)

simplify196.0ms (5.1%)

prune3.0ms (0.1%)

localize15.0ms (0.4%)

rewrite49.0ms (1.3%)

series242.0ms (6.3%)

simplify77.0ms (2%)

prune157.0ms (4.1%)

localize25.0ms (0.6%)

rewrite45.0ms (1.2%)

series210.0ms (5.4%)

simplify77.0ms (2%)

prune170.0ms (4.4%)

localize18.0ms (0.5%)

rewrite38.0ms (1%)

series531.0ms (13.8%)

simplify66.0ms (1.7%)

prune134.0ms (3.5%)

localize22.0ms (0.6%)

rewrite32.0ms (0.8%)

series513.0ms (13.3%)

simplify42.0ms (1.1%)

prune129.0ms (3.4%)

regimes86.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample813.0ms (21.1%)

Profiling