Details

analyze416.0ms (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 33 to 24 computations (27.3% saved)

sample47.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	118×	body	256	valid
8.0ms	283×	pre	128	true
7.0ms	48×	body	512	valid
4.0ms	90×	body	128	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify330.0ms (5%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`
521×	`associate-/l/_binary64`
427×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (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

Error

53.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	53.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
28.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

50.7b

Rules

20×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1868 to 1088 computations (41.8% saved)

series189.0ms (2.9%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

61.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
48.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
16.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2276 to 1674 computations (26.4% saved)

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64`
244×	`distribute-rgt-in_binary64`
224×	`distribute-rgt-neg-in_binary64`
214×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-in_binary64`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5261	2923

prune66.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Error

0.2b

Counts

108 → 6

Alt Table

Status	Error	Program
	53.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) a)))
	53.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
▶	0.9b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	53.4b	(/.f64 1 (/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)))
	53.6b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	1.3b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))

Compiler

Compiled 1898 to 1090 computations (42.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite358.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

112×	`add-exp-log_binary64`
54×	`prod-exp_binary64`
42×	`add-sqr-sqrt_binary64`
39×	`pow-to-exp_binary64` `div-exp_binary64` `pow-exp_binary64`
29×	`unpow-prod-down_binary64`

Counts

4 → 186

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7244 to 4588 computations (36.7% saved)

series197.0ms (3%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

72.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
57.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
33.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
29.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3018 to 2226 computations (26.2% saved)

simplify149.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

610×	`log-prod_binary64`
399×	`associate-l_binary64`
323×	`associate-r_binary64`
302×	`times-frac_binary64`
301×	`associate-/l*_binary64`

Counts

216 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3547
1	558	3204
2	3245	3125
3	4512	3125
4	5297	3125

prune106.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Error

0.2b

Counts

161 → 6

Alt Table

Status	Error	Program
	53.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) a)))
	53.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
✓	0.9b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	53.4b	(/.f64 1 (/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)))
	53.6b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
▶	1.3b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))

Compiler

Compiled 2738 to 1706 computations (37.7% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite328.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

46×	`pow1_binary64`
36×	`add-exp-log_binary64`
26×	`add-cbrt-cube_binary64`
23×	`add-sqr-sqrt_binary64`
19×	`pow-prod-down_binary64` `prod-exp_binary64`

Counts

4 → 127

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 7637 to 4549 computations (40.4% saved)

series195.0ms (2.9%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

89.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
34.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
31.0ms	(pow.f64 (*.f64 a c) 3)
31.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 2927 to 2104 computations (28.1% saved)

simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

482×	`unswap-sqr_binary64`
340×	`associate-r_binary64`
327×	`associate-l_binary64`
307×	`log-prod_binary64`
265×	`exp-prod_binary64`

Counts

166 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	4838
1	679	3974
2	3039	3944
3	4546	3935
4	5030	3935

prune165.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	137	9	146

Error

0.1b

Counts

146 → 9

Alt Table

Status	Error	Program
	53.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) a)))
	1.7b	(/.f64 (-.f64 (pow.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) 3) (pow.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))) 3)) (.f64 (.f64 a 3) (+.f64 (.f64 (/.f64 (.f64 a c) b) (.f64 (/.f64 (.f64 a c) b) 9/4)) (.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))))))))
	53.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
✓	0.9b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	53.4b	(/.f64 1 (/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)))
	53.6b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
▶	1.2b	(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 a c) b) a)) (/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3)))
	2.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (.f64 a 3))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (.f64 a 3)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3))))
✓	1.3b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))

Compiler

Compiled 5255 to 3233 computations (38.5% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite246.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`add-exp-log_binary64`
13×	`pow1_binary64`
12×	`add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `pow-unpow_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 83

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 4926 to 3042 computations (38.2% saved)

series261.0ms (3.9%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

158.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
31.0ms	(pow.f64 (*.f64 a c) 4)
28.0ms	(pow.f64 (*.f64 a c) 3)
28.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3222 to 2286 computations (29.1% saved)

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

918×	`times-frac_binary64`
423×	`distribute-rgt-in_binary64`
195×	`unswap-sqr_binary64`
164×	`associate-r_binary64`
158×	`associate-l_binary64`

Counts

118 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	3292
1	451	2893
2	1873	2858
3	5129	2858

prune101.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	87	9	96

Error

0.1b

Counts

96 → 9

Alt Table

Status	Error	Program
	53.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) a)))
	1.7b	(/.f64 (-.f64 (pow.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) 3) (pow.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))) 3)) (.f64 (.f64 a 3) (+.f64 (.f64 (/.f64 (.f64 a c) b) (.f64 (/.f64 (.f64 a c) b) 9/4)) (.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))))))))
	53.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	0.9b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	53.4b	(/.f64 1 (/.f64 3 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)))
	53.6b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	1.2b	(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 a c) b) a)) (/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3)))
	2.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (.f64 a 3))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (.f64 a 3)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3))))
	1.3b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))

Compiler

Compiled 2581 to 1599 computations (38% saved)

regimes978.0ms (14.8%)

Accuracy

Total 1.4b remaining (88.6%)

Threshold costs 0b (0%)

Compiler

Compiled 22658 to 14998 computations (33.8% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
24×	`+-commutative_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
14×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
6×	`unsub-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

end2.0ms (0%)

Compiler: Compiled 48 to 37 computations (22.9% saved)

sample1.9s (28.3%)

Algorithm

1×

intervals

Results

367.0ms	3786×	body	256	valid
267.0ms	8865×	pre	128	true
205.0ms	1476×	body	512	valid
136.0ms	2738×	body	128	valid
38.0ms	865×	body	128	nan

Compiler

Compiled 664 to 441 computations (33.6% saved)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

Details

analyze416.0ms (6.3%)

sample47.0ms (0.7%)

simplify330.0ms (5%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite147.0ms (2.2%)

series189.0ms (2.9%)

simplify95.0ms (1.4%)

prune66.0ms (1%)

localize28.0ms (0.4%)

rewrite358.0ms (5.4%)

series197.0ms (3%)

simplify149.0ms (2.3%)

prune106.0ms (1.6%)

localize34.0ms (0.5%)

rewrite328.0ms (4.9%)

series195.0ms (2.9%)

simplify160.0ms (2.4%)

prune165.0ms (2.5%)

localize30.0ms (0.5%)

rewrite246.0ms (3.7%)

series261.0ms (3.9%)

simplify96.0ms (1.4%)

prune101.0ms (1.5%)

regimes978.0ms (14.8%)

simplify10.0ms (0.2%)

end2.0ms (0%)

sample1.9s (28.3%)

Profiling

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67