Details

analyze2.4s (15.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample73.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	155×	body	128	invalid

Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

588×	`distribute-neg-frac_binary64`
554×	`associate-*l/_binary64`
502×	`associate-/r/_binary64`
499×	`div-sub_binary64`
465×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	41	28
2	107	28
3	317	28
4	739	25
5	1734	25
6	4288	25
7	4783	25
8	4917	25

prune7.0ms (0%)

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

Error

4.7b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	10.3b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
	22.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))

Compiler

Compiled 124 to 87 computations (29.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.8b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
1.2b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.9b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite194.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
13×	`add-cbrt-cube_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2505 to 1424 computations (43.2% saved)

series413.0ms (2.6%)

Error

4.5b

Counts

4 → 102

Calls

4 calls:

192.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
122.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
55.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
15.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4125 to 2752 computations (33.3% saved)

simplify185.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

524×	`*-commutative_binary64`
335×	`div-sub_binary64`
253×	`cancel-sign-sub-inv_binary64`
250×	`associate-/l*_binary64`
192×	`distribute-rgt-in_binary64`

Counts

189 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	4314
1	500	4061
2	1614	3983
3	3784	3851
4	4967	3851
5	5023	3851

prune128.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	117	13	130
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	14	132

Error

4.4b

Counts

132 → 14

Alt Table

Status	Error	Program
	37.9b	(/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))) (/.f64 c (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))
	11.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
	36.9b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) 3)) c)
	31.2b	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)) (.f64 (.f64 (.f64 t a) -4) (.f64 (.f64 t a) -4))) (.f64 c (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (*.f64 x y))) z))))
▶	10.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
	11.2b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) (cbrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) c))
	31.5b	(/.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) c)
	22.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	39.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	11.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c))) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)))
	31.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (*.f64 z c))
	10.8b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) (.f64 (*.f64 t a) -4)) c)
	10.9b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 z))) (.f64 (*.f64 t a) -4)) c)

Compiler

Compiled 2909 to 1638 computations (43.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
0.8b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
1.2b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
9.0b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite294.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

99×	`times-frac_binary64`
64×	`*-un-lft-identity_binary64`
64×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`
21×	`associate-/r*_binary64`

Counts

4 → 153

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
11.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
10.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
6.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5661 to 3123 computations (44.8% saved)

series696.0ms (4.4%)

Error

4.4b

Counts

4 → 136

Calls

4 calls:

257.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
192.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
126.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
60.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 7813 to 5252 computations (32.8% saved)

simplify334.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

303×	`distribute-rgt-in_binary64`
293×	`cancel-sign-sub-inv_binary64`
234×	`distribute-rgt-neg-in_binary64`
228×	`times-frac_binary64`
210×	`associate-r_binary64`

Counts

289 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	9751
1	833	9229
2	3077	9151
3	4824	9151
4	4998	9151
5	4959	9151

prune131.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	162	18	180

Error

4.4b

Counts

180 → 18

Alt Table

Status	Error	Program
	37.7b	(/.f64 1 (.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4)))))
	46.0b	(/.f64 b (*.f64 c z))
	46.2b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	11.2b	(/.f64 1 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (/.f64 (cbrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))
▶	10.3b	(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c))
	12.3b	(+.f64 (/.f64 (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))) c) (/.f64 b (*.f64 c z)))
	30.1b	(/.f64 1 (-.f64 (/.f64 c (-.f64 (/.f64 b z) (.f64 4 (.f64 t a)))) (.f64 9 (/.f64 (.f64 c (.f64 x y)) (.f64 z (pow.f64 (-.f64 (/.f64 b z) (.f64 4 (.f64 t a))) 2))))))
	37.9b	(/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))) (/.f64 c (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))
	11.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
	36.9b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) 3)) c)
	31.2b	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)) (.f64 (.f64 (.f64 t a) -4) (.f64 (.f64 t a) -4))) (.f64 c (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (*.f64 x y))) z))))
	10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))) (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))) (/.f64 1 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))))
	22.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	39.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	11.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c))) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)))
	31.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (*.f64 z c))
	10.9b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 z))) (.f64 (*.f64 t a) -4)) c)

Compiler

Compiled 3562 to 1992 computations (44.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 x y))
0.8b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
1.1b	(-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z))
8.9b	(/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c)

rewrite207.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

28×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64`
27×	`times-frac_binary64`
13×	`cancel-sign-sub-inv_binary64`

Counts

4 → 101

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c)
11.0ms	(-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
5.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 3007 to 1595 computations (47% saved)

series428.0ms (2.7%)

Error

4.4b

Counts

4 → 102

Calls

4 calls:

193.0ms	(/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c)
125.0ms	(-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z))
59.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
16.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 4322 to 2959 computations (31.5% saved)

simplify204.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/l*_binary64`
233×	`distribute-rgt-in_binary64`
218×	`distribute-lft-in_binary64`
186×	`associate-/l/_binary64`
170×	`times-frac_binary64`

Counts

203 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4745
1	614	4495
2	1901	4101
3	4468	4089
4	4988	4089
5	4942	4089

prune121.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	3	14	17
Picked	0	1	1
Done	0	0	0
Total	139	18	157

Error

4.4b

Counts

157 → 18

Alt Table

Status	Error	Program
	24.5b	(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 a t)) (/.f64 b z)) c))
	46.0b	(/.f64 b (*.f64 c z))
	46.2b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	37.6b	(neg.f64 (.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (-.f64 (.f64 4 (.f64 a t)) (/.f64 (+.f64 b (.f64 9 (*.f64 x y))) z)) (sqrt.f64 c))))
	11.2b	(/.f64 1 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (/.f64 (cbrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))
✓	10.3b	(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c))
	12.3b	(+.f64 (/.f64 (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))) c) (/.f64 b (*.f64 c z)))
	30.1b	(/.f64 1 (-.f64 (/.f64 c (-.f64 (/.f64 b z) (.f64 4 (.f64 t a)))) (.f64 9 (/.f64 (.f64 c (.f64 x y)) (.f64 z (pow.f64 (-.f64 (/.f64 b z) (.f64 4 (.f64 t a))) 2))))))
	11.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
	36.9b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) 3)) c)
	31.2b	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)) (.f64 (.f64 (.f64 t a) -4) (.f64 (.f64 t a) -4))) (.f64 c (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (*.f64 x y))) z))))
▶	10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
	11.7b	(neg.f64 (-.f64 (.f64 4 (/.f64 (.f64 a t) c)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (*.f64 z c))))
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))) (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))) (/.f64 1 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))))
	22.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	39.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	11.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c))) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)))
	10.9b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 z))) (.f64 (*.f64 t a) -4)) c)

Compiler

Compiled 2767 to 1620 computations (41.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.9b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
10.8b	(cbrt.f64 (.f64 9 (.f64 x y)))
10.8b	(cbrt.f64 (.f64 9 (.f64 x y)))
10.8b	(cbrt.f64 (.f64 9 (.f64 x y)))

rewrite157.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 56

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
4.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))

Compiler

Compiled 2784 to 1538 computations (44.8% saved)

series490.0ms (3.1%)

Error

4.4b

Counts

4 → 57

Calls

4 calls:

286.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
49.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))
48.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))
46.0ms	(cbrt.f64 (.f64 9 (.f64 x y)))

Compiler

Compiled 4192 to 2884 computations (31.2% saved)

simplify375.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

808×	`div-sub_binary64`
367×	`associate-l_binary64`
343×	`associate-r_binary64`
272×	`distribute-rgt-neg-out_binary64`
267×	`distribute-lft-neg-out_binary64`

Counts

113 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	166	2712
1	384	2608
2	994	2491
3	3271	2407
4	4655	2335
5	5698	2335

prune119.0ms (0.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	97	18	115

Error

4.4b

Counts

115 → 18

Alt Table

Status	Error	Program
	24.5b	(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 a t)) (/.f64 b z)) c))
	46.0b	(/.f64 b (*.f64 c z))
	46.2b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	11.2b	(/.f64 1 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (/.f64 (cbrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))
	10.3b	(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)) c))
	12.3b	(+.f64 (/.f64 (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))) c) (/.f64 b (*.f64 c z)))
	30.1b	(/.f64 1 (-.f64 (/.f64 c (-.f64 (/.f64 b z) (.f64 4 (.f64 t a)))) (.f64 9 (/.f64 (.f64 c (.f64 x y)) (.f64 z (pow.f64 (-.f64 (/.f64 b z) (.f64 4 (.f64 t a))) 2))))))
	11.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
	36.9b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) 3)) c)
	31.2b	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)) (.f64 (.f64 (.f64 t a) -4) (.f64 (.f64 t a) -4))) (.f64 c (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (*.f64 x y))) z))))
	10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 9 (.f64 x y))) (cbrt.f64 (.f64 9 (.f64 x y)))) (cbrt.f64 (.f64 9 (.f64 x y)))) b) z) (.f64 (.f64 t a) -4)) c)
	37.6b	(.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (-.f64 (/.f64 (+.f64 b (.f64 x (.f64 y 9))) z) (.f64 4 (*.f64 t a))) (sqrt.f64 c)))
	11.7b	(neg.f64 (-.f64 (.f64 4 (/.f64 (.f64 a t) c)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (*.f64 z c))))
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))) (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))))) (/.f64 1 (cbrt.f64 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))))
	22.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	39.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	11.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c))) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) c)))
	10.9b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 z))) (.f64 (*.f64 t a) -4)) c)

Compiler

Compiled 2412 to 1422 computations (41% saved)

regimes6.2s (39.5%)

Accuracy

Total 3.3b remaining (34.9%)

Threshold costs 0b (0%)

Compiler

Compiled 87725 to 60201 computations (31.4% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	245
1	79	219
2	101	219
3	122	217
4	131	217
5	135	217
6	133	217

end57.0ms (0.4%)

Remove: (sort t a)
Compiler: Compiled 1064 to 651 computations (38.8% saved)

sample2.3s (14.7%)

Algorithm

1×

intervals

Results

483.0ms	8000×	body	128	valid
277.0ms	4842×	body	128	invalid

Compiler

Compiled 795 to 525 computations (34% saved)

Details

analyze2.4s (15.4%)

sample73.0ms (0.5%)

simplify73.0ms (0.5%)

prune7.0ms (0%)

localize13.0ms (0.1%)

rewrite194.0ms (1.2%)

series413.0ms (2.6%)

simplify185.0ms (1.2%)

prune128.0ms (0.8%)

localize15.0ms (0.1%)

rewrite294.0ms (1.9%)

series696.0ms (4.4%)

simplify334.0ms (2.1%)

prune131.0ms (0.8%)

localize17.0ms (0.1%)

rewrite207.0ms (1.3%)

series428.0ms (2.7%)

simplify204.0ms (1.3%)

prune121.0ms (0.8%)

localize22.0ms (0.1%)

rewrite157.0ms (1%)

series490.0ms (3.1%)

simplify375.0ms (2.4%)

prune119.0ms (0.8%)

regimes6.2s (39.5%)

bsearch12.0ms (0.1%)

simplify11.0ms (0.1%)

end57.0ms (0.4%)

sample2.3s (14.7%)

Profiling