Details

analyze2.1s (16.1%)

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)

sample65.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	133×	body	128	invalid

Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify66.0ms (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

prune6.0ms (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

6.7b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	13.4b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
	20.8b	(/.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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 t a) -4)
0.2b	(.f64 (.f64 x 9) y)
2.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.9b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite194.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
14×	`pow1_binary64`
6×	`associate-/l_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `associate-/l/_binary64`

Counts

4 → 94

Calls

4 calls:

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

Compiler

Compiled 2499 to 1426 computations (42.9% saved)

series301.0ms (2.3%)

Error

6.5b

Counts

4 → 72

Calls

4 calls:

190.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
57.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
16.0ms	(.f64 (.f64 t a) -4)
15.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3165 to 2089 computations (34% saved)

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

315×	`div-sub_binary64`
254×	`associate-l_binary64`
250×	`associate-/l*_binary64`
207×	`cancel-sign-sub-inv_binary64`
189×	`distribute-rgt-in_binary64`

Counts

166 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3553
1	534	3255
2	1764	3243
3	3793	3111
4	4986	3111
5	4954	3111

prune107.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	13	111

Error

6.4b

Counts

111 → 13

Alt Table

Status	Error	Program
	43.8b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) 3) (pow.f64 (.f64 (.f64 t a) -4) 3)) (.f64 c (+.f64 (.f64 t (.f64 a (.f64 16 (.f64 t a)))) (.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z))))))
✓	13.4b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
▶	13.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	14.2b	(.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)))
	38.3b	(/.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (sqrt.f64 z))) (.f64 (*.f64 t a) -4)) c)
	38.7b	(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))) c))
	37.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (sqrt.f64 c)) (sqrt.f64 c))
	14.2b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
	20.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	39.5b	(/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (sqrt.f64 (+.f64 b (.f64 9 (.f64 x y)))) (cbrt.f64 z))) (.f64 (.f64 t a) -4)) c)
	30.6b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (*.f64 z c))
	42.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	35.4b	(/.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))))

Compiler

Compiled 2536 to 1432 computations (43.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 x y))
0.3b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
2.0b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
10.9b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite259.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

99×	`times-frac_binary64`
65×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`add-exp-log_binary64`
21×	`associate-/r*_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 160

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
10.0ms	(/.f64 c (+.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)
5.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 5644 to 3128 computations (44.6% saved)

series680.0ms (5.2%)

Error

6.4b

Counts

4 → 116

Calls

4 calls:

334.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
191.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
61.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
17.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 9096 to 6137 computations (32.5% saved)

simplify238.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

509×	`times-frac_binary64`
352×	`associate-r_binary64`
309×	`associate-/l*_binary64`
305×	`associate-/r*_binary64`
271×	`associate-l_binary64`

Counts

276 → 171

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	10856
1	1155	10287
2	4999	10287
3	4965	10287

prune119.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	2	9	11
Picked	0	1	1
Done	1	0	1
Total	168	16	184

Error

6.4b

Counts

184 → 16

Alt Table

Status	Error	Program
	37.8b	(/.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (sqrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	43.8b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) 3) (pow.f64 (.f64 (.f64 t a) -4) 3)) (.f64 c (+.f64 (.f64 t (.f64 a (.f64 16 (.f64 t a)))) (.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (+.f64 (.f64 4 (.f64 t a)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z))))))
✓	13.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	44.7b	(/.f64 b (*.f64 c z))
▶	14.2b	(.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)))
	38.3b	(/.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (sqrt.f64 z))) (.f64 (*.f64 t a) -4)) c)
	38.7b	(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))) c))
	37.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (sqrt.f64 c)) (sqrt.f64 c))
	46.5b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	14.2b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
	20.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	28.1b	(/.f64 1 (/.f64 c (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) 3)) (.f64 (.f64 t a) -4))))
	42.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	35.4b	(/.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))))
	30.6b	(/.f64 1 (/.f64 (.f64 c z) (+.f64 b (.f64 9 (*.f64 x y)))))
	45.2b	(/.f64 1 (/.f64 c (/.f64 b z)))

Compiler

Compiled 3738 to 2007 computations (46.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 c) (cbrt.f64 c))
2.0b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
3.5b	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
7.5b	(.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)))

rewrite465.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

79×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
55×	`add-exp-log_binary64`
53×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

4 → 180

Calls

4 calls:

22.0ms	(.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)))
11.0ms	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
6.0ms	(*.f64 (cbrt.f64 c) (cbrt.f64 c))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 6945 to 3182 computations (54.2% saved)

series645.0ms (4.9%)

Error

6.4b

Counts

4 → 102

Calls

4 calls:

342.0ms	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
195.0ms	(.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)))
64.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
19.0ms	(*.f64 (cbrt.f64 c) (cbrt.f64 c))

Compiler

Compiled 6031 to 4093 computations (32.1% saved)

simplify294.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

398×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
243×	`cancel-sign-sub-inv_binary64`
241×	`associate-r_binary64`
217×	`associate-l_binary64`

Counts

282 → 195

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	298	9253
1	742	7666
2	2725	7545
3	4730	7533
4	4984	7533
5	4974	7533

prune112.0ms (0.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	4	10	14
Picked	0	1	1
Done	0	1	1
Total	197	14	211

Error

6.4b

Counts

211 → 14

Alt Table

Status	Error	Program
	37.8b	(/.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (sqrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	32.3b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 (*.f64 c c))) (cbrt.f64 c))
✓	13.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	44.7b	(/.f64 b (*.f64 c z))
✓	14.2b	(.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)))
	38.3b	(/.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (sqrt.f64 z))) (.f64 (*.f64 t a) -4)) c)
	38.7b	(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))) c))
	37.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (sqrt.f64 c)) (sqrt.f64 c))
	46.5b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	45.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (*.f64 (/.f64 b z) (cbrt.f64 (/.f64 1 c))))
▶	20.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	28.1b	(/.f64 1 (/.f64 c (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) 3)) (.f64 (.f64 t a) -4))))
	42.2b	(.f64 (/.f64 (.f64 t a) c) -4)
	30.6b	(/.f64 1 (/.f64 (.f64 c z) (+.f64 b (.f64 9 (*.f64 x y)))))

Compiler

Compiled 3862 to 1956 computations (49.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z 4) t)
0.3b	(-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (*.f64 z 4) t) a))
5.8b	(.f64 (.f64 (*.f64 z 4) t) a)
17.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))

rewrite126.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow1_binary64`
12×	`*-un-lft-identity_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
9×	`pow-prod-down_binary64`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
7.0ms	(.f64 (.f64 (*.f64 z 4) t) a)
5.0ms	(-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (*.f64 z 4) t) a))
5.0ms	(.f64 (.f64 z 4) t)

Compiler

Compiled 2106 to 1209 computations (42.6% saved)

series331.0ms (2.5%)

Error

6.4b

Counts

4 → 84

Calls

4 calls:

185.0ms	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
87.0ms	(-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (*.f64 z 4) t) a))
28.0ms	(.f64 (.f64 (*.f64 z 4) t) a)
15.0ms	(.f64 (.f64 z 4) t)

Compiler

Compiled 3634 to 2397 computations (34% saved)

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-/l*_binary64`
373×	`times-frac_binary64`
318×	`associate-l_binary64`
274×	`cancel-sign-sub-inv_binary64`
253×	`distribute-rgt-in_binary64`

Counts

161 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3365
1	496	3113
2	1902	3093
3	4966	3093
4	5027	3093

prune72.0ms (0.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	3	8	11
Picked	0	1	1
Done	0	2	2
Total	93	14	107

Error

6.3b

Counts

107 → 14

Alt Table

Status	Error	Program
	37.8b	(/.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (sqrt.f64 c) (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	13.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
	44.7b	(/.f64 b (*.f64 c z))
	22.9b	(.f64 (/.f64 1 z) (/.f64 (+.f64 b (-.f64 (.f64 9 (.f64 x y)) (.f64 4 (.f64 t (.f64 z a))))) c))
	41.3b	(.f64 (sqrt.f64 (/.f64 (+.f64 b (-.f64 (.f64 9 (.f64 x y)) (.f64 4 (.f64 t (.f64 z a))))) (.f64 z c))) (sqrt.f64 (/.f64 (+.f64 b (-.f64 (.f64 9 (.f64 x y)) (.f64 4 (.f64 t (.f64 z a))))) (*.f64 z c))))
	14.2b	(.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)))
	38.7b	(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))) c))
	37.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (sqrt.f64 c)) (sqrt.f64 c))
	46.5b	(/.f64 1 (.f64 1/9 (/.f64 c (/.f64 (.f64 x y) z))))
	45.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (*.f64 (/.f64 b z) (cbrt.f64 (/.f64 1 c))))
	34.5b	(/.f64 (+.f64 (.f64 (.f64 t (.f64 z a)) -4) b) (.f64 z c))
	20.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	28.1b	(/.f64 1 (/.f64 c (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) 3)) (.f64 (.f64 t a) -4))))
	42.2b	(.f64 (/.f64 (.f64 t a) c) -4)

Compiler

Compiled 1756 to 904 computations (48.5% saved)

regimes4.3s (32.8%)

Accuracy

Total 2.4b remaining (27.5%)

Threshold costs 0b (0%)

Compiler

Compiled 71301 to 49027 computations (31.2% saved)

bsearch9.0ms (0.1%)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
18×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-neg-in_binary64`
9×	`neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	214
1	87	214
2	107	214
3	128	214
4	146	214
5	153	214
6	155	214
7	153	214

end56.0ms (0.4%)

Remove: (sort t a)
Compiler: Compiled 1057 to 616 computations (41.7% saved)

sample2.2s (16.8%)

Algorithm

1×

intervals

Results

506.0ms	8000×	body	128	valid
292.0ms	4826×	body	128	invalid

Compiler

Compiled 562 to 375 computations (33.3% saved)

Details

analyze2.1s (16.1%)

sample65.0ms (0.5%)

simplify66.0ms (0.5%)

prune6.0ms (0%)

localize21.0ms (0.2%)

rewrite194.0ms (1.5%)

series301.0ms (2.3%)

simplify152.0ms (1.2%)

prune107.0ms (0.8%)

localize15.0ms (0.1%)

rewrite259.0ms (2%)

series680.0ms (5.2%)

simplify238.0ms (1.8%)

prune119.0ms (0.9%)

localize21.0ms (0.2%)

rewrite465.0ms (3.5%)

series645.0ms (4.9%)

simplify294.0ms (2.2%)

prune112.0ms (0.8%)

localize15.0ms (0.1%)

rewrite126.0ms (1%)

series331.0ms (2.5%)

simplify132.0ms (1%)

prune72.0ms (0.5%)

regimes4.3s (32.8%)

bsearch9.0ms (0.1%)

simplify11.0ms (0.1%)

end56.0ms (0.4%)

sample2.2s (16.8%)

Profiling