Details

analyze489.0ms (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)

sample57.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	89×	body	256	valid
11.0ms	167×	body	128	valid
9.0ms	283×	pre	128	true
2.0ms	27×	body	128	nan

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify333.0ms (4.3%)

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

prune3.0ms (0%)

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

43.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	43.1b	(/.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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
38.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite152.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

40.0b

Rules

20×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
9×	`pow1_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
6.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(.f64 (.f64 3 a) c)
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1868 to 1088 computations (41.8% saved)

series152.0ms (1.9%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

52.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
41.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
29.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
11.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2276 to 1674 computations (26.4% saved)

simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l*_binary64`
251×	`distribute-rgt-in_binary64`
228×	`distribute-rgt-neg-in_binary64`
222×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-in_binary64`

Counts

137 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3206
1	584	2948
2	2128	2923
3	5331	2923

prune62.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Error

0.4b

Counts

111 → 10

Alt Table

Status	Error	Program
	43.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	3.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	43.1b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (*.f64 a -3)))))
▶	3.2b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	4.7b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))) (*.f64 3 a))
	43.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) 3) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)) a))
	43.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))))
	43.6b	(/.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b))) (.f64 3 a))
	42.5b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	43.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))))

Compiler

Compiled 2302 to 1329 computations (42.3% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite329.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

156×	`add-exp-log_binary64`
72×	`prod-exp_binary64`
60×	`div-exp_binary64`
46×	`pow-exp_binary64`
46×	`pow-to-exp_binary64`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
7.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 7281 to 4579 computations (37.1% saved)

series196.0ms (2.5%)

Error

0.4b

Counts

4 → 33

Calls

4 calls:

65.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
58.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
44.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
24.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3306 to 2454 computations (25.8% saved)

simplify151.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

538×	`unswap-sqr_binary64`
407×	`times-frac_binary64`
382×	`associate-/l*_binary64`
327×	`log-div_binary64`
271×	`associate-l_binary64`

Counts

219 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3909
1	635	3506
2	3356	3443
3	4950	3443
4	5175	3443

prune118.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	188	10	198

Error

0.4b

Counts

198 → 10

Alt Table

Status	Error	Program
	43.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
▶	3.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	43.1b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (*.f64 a -3)))))
✓	3.2b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	4.7b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))) (*.f64 3 a))
	43.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) 3) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)) a))
	43.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))))
	43.6b	(/.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b))) (.f64 3 a))
	42.5b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	43.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))))

Compiler

Compiled 4131 to 2587 computations (37.4% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite287.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

73×	`add-exp-log_binary64`
46×	`pow1_binary64`
42×	`add-cbrt-cube_binary64`
34×	`prod-exp_binary64`
18×	`cbrt-unprod_binary64`

Counts

4 → 140

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
9.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
5.0ms	(.f64 (.f64 c a) (*.f64 c a))
3.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 8105 to 4796 computations (40.8% saved)

series181.0ms (2.3%)

Error

0.4b

Counts

4 → 42

Calls

4 calls:

77.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
51.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
23.0ms	(.f64 (.f64 c a) (*.f64 c a))
23.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 3200 to 2362 computations (26.2% saved)

simplify146.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

357×	`associate-r_binary64`
350×	`times-frac_binary64`
322×	`associate-l_binary64`
249×	`associate-/l*_binary64`
177×	`associate-/r*_binary64`

Counts

182 → 158

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	5492
1	704	4398
2	4129	4362
3	5052	4362

prune146.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	155	13	168

Error

0.3b

Counts

168 → 13

Alt Table

Status	Error	Program
	43.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
✓	3.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	4.1b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (+.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (-.f64 (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 b (+.f64 (pow.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) 3) (pow.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) 3)))) (.f64 (.f64 3 a) (.f64 b (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 6)) 81/64) (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) -9/8)))))))
	4.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
	43.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))))
	43.6b	(/.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b))) (.f64 3 a))
▶	3.4b	(/.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
	43.1b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (*.f64 a -3)))))
✓	3.2b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	4.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))) a)))
	43.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) 3) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)) a))
	42.5b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	43.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))))

Compiler

Compiled 6138 to 3896 computations (36.5% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
0.5b	(pow.f64 (*.f64 c a) 2)
0.7b	(pow.f64 (*.f64 c a) 3)
0.9b	(pow.f64 (*.f64 c a) 4)

rewrite311.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

72×	`times-frac_binary64`
41×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
41×	`add-cube-cbrt_binary64`
37×	`unpow-prod-down_binary64`

Counts

4 → 170

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
3.0ms	(pow.f64 (*.f64 c a) 4)
3.0ms	(pow.f64 (*.f64 c a) 3)
3.0ms	(pow.f64 (*.f64 c a) 2)

Compiler

Compiled 7398 to 4606 computations (37.7% saved)

series121.0ms (1.6%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

49.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
22.0ms	(pow.f64 (*.f64 c a) 3)
22.0ms	(pow.f64 (*.f64 c a) 4)
21.0ms	(pow.f64 (*.f64 c a) 2)

Compiler

Compiled 2958 to 2154 computations (27.2% saved)

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

813×	`associate-*l/_binary64`
500×	`log-div_binary64`
394×	`associate-/r/_binary64`
253×	`unswap-sqr_binary64`
203×	`times-frac_binary64`

Counts

197 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2933
1	309	2840
2	1605	2768
3	4794	2768
4	5498	2768

prune108.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	157	13	170

Error

0.3b

Counts

170 → 13

Alt Table

Status	Error	Program
	43.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	3.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	4.1b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (+.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (-.f64 (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 b (+.f64 (pow.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) 3) (pow.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) 3)))) (.f64 (.f64 3 a) (.f64 b (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 6)) 81/64) (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) -9/8)))))))
	4.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
	43.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b) (.f64 3 a))))
	43.6b	(/.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (sqrt.f64 b))) (.f64 3 a))
	3.4b	(/.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
	43.1b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (*.f64 a -3)))))
	3.2b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	4.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (/.f64 3 (/.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 9/8) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))) a)))
	43.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) 3) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))) b)) a))
	42.5b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	43.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))))

Compiler

Compiled 3306 to 2011 computations (39.2% saved)

regimes1.9s (24.4%)

Accuracy

Total 2.9b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 44788 to 29521 computations (34.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
19×	`+-commutative_binary64`
19×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	67
1	60	67
2	80	67
3	98	67
4	131	67
5	159	67
6	176	67
7	184	67
8	185	67
9	182	67

end1.0ms (0%)

Compiler: Compiled 48 to 35 computations (27.1% saved)

sample2.2s (28.1%)

Algorithm

1×

intervals

Results

432.0ms	2869×	body	256	valid
394.0ms	5130×	body	128	valid
290.0ms	8901×	pre	128	true
57.0ms	901×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 1073 to 700 computations (34.8% saved)

Details

analyze489.0ms (6.3%)

sample57.0ms (0.7%)

simplify333.0ms (4.3%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite152.0ms (2%)

series152.0ms (1.9%)

simplify102.0ms (1.3%)

prune62.0ms (0.8%)

localize29.0ms (0.4%)

rewrite329.0ms (4.2%)

series196.0ms (2.5%)

simplify151.0ms (1.9%)

prune118.0ms (1.5%)

localize30.0ms (0.4%)

rewrite287.0ms (3.7%)

series181.0ms (2.3%)

simplify146.0ms (1.9%)

prune146.0ms (1.9%)

localize31.0ms (0.4%)

rewrite311.0ms (4%)

series121.0ms (1.6%)

simplify129.0ms (1.7%)

prune108.0ms (1.4%)

regimes1.9s (24.4%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample2.2s (28.1%)

Profiling