Details

analyze694.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.1%	28.1%	68.8%	9
4.7%	25%	70.4%	10
7%	20.3%	72.7%	11
10.5%	16.8%	72.7%	12
10.5%	16%	73.5%	13
12.3%	13.8%	73.9%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample2.1s (14.7%)

Results

1.8s	8253×	body	128	valid
80.0ms	384×	body	128	invalid
2.0ms	3×	body	1024	valid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2537×	`fma-neg_binary64`
490×	`associate--r-_binary64`
460×	`associate--l-_binary64`
401×	`distribute-rgt-in_binary64`
373×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	22	17
2	59	17
3	145	15
4	313	15
5	593	15
6	714	15
7	958	15
8	1168	15
9	1549	15
10	2712	15
11	2613	15
12	2654	15
13	2663	15
14	2669	15
15	2671	15
16	2759	15
17	2777	15
18	2785	15
19	2807	15
20	2793	15
21	2793	15
22	5107	15

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
✓	0.1b	(fma.f64 x (log.f64 y) (log.f64 t))

series785.0ms (5.6%)

Counts

2 → 84

Calls

2 calls:

445.0ms	(fma.f64 x (log.f64 y) (log.f64 t))
340.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

rewrite57.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-diff_binary64`
11×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`

Counts

2 → 48

Calls

2 calls:

54.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
0.0ms	(fma.f64 x (log.f64 y) (log.f64 t))

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
414×	`associate-l_binary64`
385×	`distribute-rgt-in_binary64`
360×	`distribute-lft-in_binary64`
333×	`associate-r_binary64`

Counts

132 → 91

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1952
1	260	1860
2	897	1769
3	4368	1769
4	4817	1762
5	4996	1762

prune60.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Error

0.0b

Counts

92 → 5

Alt Table

Status	Error	Program
▶	0.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
	30.0b	(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	45.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (log.f64 t)) 3) (pow.f64 (+.f64 y z) 3)) (+.f64 (.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (fma.f64 x (log.f64 y) (log.f64 t))) (+.f64 (.f64 (+.f64 y z) (+.f64 y z)) (*.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z)))))
	31.4b	(fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))

Compiler

Compiled 1937 to 431 computations (77.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (log.f64 y) (log.f64 t))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
✓	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))

series2.4s (17.2%)

Counts

3 → 108

Calls

3 calls:

1.1s

(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

924.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))

386.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

6.0ms

(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

1.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))

simplify158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
335×	`unswap-sqr_binary64`
268×	`cancel-sign-sub-inv_binary64`
197×	`associate-r_binary64`
170×	`associate-l_binary64`

Counts

201 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	241	4636
1	699	4142
2	2371	3941
3	4344	3706
4	4910	3706
5	5008	3706

prune363.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	381	5	386
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	383	8	391

Error

0.0b

Counts

391 → 8

Alt Table

Status	Error	Program
	30.0b	(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (+.f64 y z))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
▶	0.5b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
	31.5b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
	0.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (+.f64 y z))
	31.4b	(fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))

Compiler

Compiled 15057 to 4018 computations (73.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	0.1b	(fma.f64 x (log.f64 y) (log.f64 t))
	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3)

series1.7s (12%)

Counts

2 → 84

Calls

2 calls:

1.4s	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3)
318.0ms	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`*-un-lft-identity_binary64`
72×	`prod-diff_binary64`
62×	`add-sqr-sqrt_binary64`
51×	`add-cube-cbrt_binary64`
38×	`cube-prod_binary64`

Counts

2 → 149

Calls

2 calls:

11.0ms	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
2.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3)

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-neg_binary64`
431×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
270×	`unswap-sqr_binary64`
225×	`times-frac_binary64`

Counts

233 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	4562
1	401	4072
2	1431	3612
3	4723	3612
4	4969	3612

prune280.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	249	7	256

Error

Counts

256 → 7

Alt Table

Status	Error	Program
	30.0b	(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (+.f64 y z))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
	31.6b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) 3)) (+.f64 y z))
	31.5b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
▶	0.6b	(-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) 3) (+.f64 y z))

Compiler

Compiled 7027 to 2198 computations (68.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
✓	0.5b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))
	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
✓	0.7b	(pow.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) 3)

series3.3s (23.5%)

Counts

3 → 108

Calls

3 calls:

1.3s

(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) 3)

1.1s

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))

880.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`

Counts

3 → 53

Calls

3 calls:

6.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))

4.0ms

(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) 3)

1.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
302×	`cancel-sign-sub-inv_binary64`
257×	`unswap-sqr_binary64`
172×	`associate-r_binary64`
150×	`sqr-pow_binary64`

Counts

161 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4552
1	761	3827
2	2551	3775
3	4941	3775
4	4989	3775

prune344.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	319	7	326

Error

Counts

326 → 7

Alt Table

Status	Error	Program
	30.0b	(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (+.f64 y z))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	0.7b	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 5) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
	31.6b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) 3)) (+.f64 y z))
	31.5b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
✓	0.6b	(-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) 3) (+.f64 y z))

Compiler

Compiled 14753 to 5011 computations (66% saved)

regimes1.1s (7.6%)

Accuracy

Total 0.0b remaining (30%)

Threshold costs 0.0b (30%)

Counts

116 → 1

Compiler

Compiled 24270 to 13159 computations (45.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15
2	22	15
3	30	15
4	35	15
5	37	15
6	37	15

end123.0ms (0.9%)

Compiler: Compiled 241 to 120 computations (50.2% saved)

Details

analyze694.0ms (4.9%)

sample2.1s (14.7%)

simplify180.0ms (1.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series785.0ms (5.6%)

rewrite57.0ms (0.4%)

simplify103.0ms (0.7%)

prune60.0ms (0.4%)

localize12.0ms (0.1%)

series2.4s (17.2%)

rewrite19.0ms (0.1%)

simplify158.0ms (1.1%)

prune363.0ms (2.6%)

localize11.0ms (0.1%)

series1.7s (12%)

rewrite28.0ms (0.2%)

simplify138.0ms (1%)

prune280.0ms (2%)

localize18.0ms (0.1%)

series3.3s (23.5%)

rewrite14.0ms (0.1%)

simplify124.0ms (0.9%)

prune344.0ms (2.4%)

regimes1.1s (7.6%)

simplify2.0ms (0%)

end123.0ms (0.9%)

Profiling