Details

analyze791.0ms (12.3%)

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%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
4.7%	21.8%	73.5%	11
4.7%	21.8%	73.5%	12
7%	19.5%	73.5%	13
8.2%	17.5%	74.3%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample2.5s (38.2%)

Results

994.0ms	5923×	body	128	valid
530.0ms	707×	body	1024	valid
426.0ms	929×	body	512	valid
197.0ms	670×	body	256	valid
45.0ms	282×	body	128	invalid
25.0ms	27×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
326×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	71	17
4	112	17
5	173	17
6	293	17
7	437	17
8	681	17
9	1080	17
10	1312	17
11	1523	17
12	1539	17
13	1539	17
14	1492	17

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) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
✓	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))
✓	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

series896.0ms (14%)

Counts

3 → 108

Calls

3 calls:

436.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
287.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
172.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 61

Calls

3 calls:

3.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
3.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
0.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

simplify123.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

368×	`distribute-neg-in_binary64`
341×	`distribute-rgt-in_binary64`
316×	`fma-neg_binary64`
292×	`times-frac_binary64`
259×	`sub-neg_binary64`

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	3071
1	634	2835
2	2073	2748
3	4555	2748
4	4988	2748
5	4921	2748

prune131.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	6	170

Error

0.1b

Counts

170 → 6

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	44.0b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (+.f64 (.f64 t t) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) (+.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))))
	34.2b	(-.f64 (.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	27.5b	(-.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	0.5b	(-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))

Compiler

Compiled 3821 to 1353 computations (64.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))
✓	0.3b	(*.f64 (log.f64 y) x)

series624.0ms (9.7%)

Counts

3 → 92

Calls

3 calls:

231.0ms	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
203.0ms	(*.f64 (log.f64 y) x)
190.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
6×	`pow1_binary64`

Counts

3 → 62

Calls

3 calls:

3.0ms	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
3.0ms	(*.f64 (log.f64 y) x)
0.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
478×	`associate-l_binary64`
355×	`associate-r_binary64`
297×	`distribute-neg-in_binary64`
279×	`distribute-rgt-in_binary64`

Counts

154 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2744
1	543	2558
2	1709	2411
3	4397	2411
4	4916	2411

prune121.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Error

0.0b

Counts

155 → 7

Alt Table

Status	Error	Program
	44.0b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (+.f64 (.f64 t t) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) (+.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))))
	32.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	31.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
▶	0.5b	(-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)

Compiler

Compiled 3335 to 1113 computations (66.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))
	0.3b	(*.f64 (log.f64 y) x)

series110.0ms (1.7%)

Counts

1 → 48

Calls

1 calls:

110.0ms

(-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`prod-diff_binary64`

Counts

1 → 21

Calls

1 calls:

3.0ms

(-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg_binary64`
400×	`cancel-sign-sub-inv_binary64`
388×	`neg-mul-1_binary64`
376×	`fma-def_binary64`
362×	`associate-l_binary64`

Counts

69 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	954
1	180	909
2	639	887
3	2455	887
4	3910	887
5	4963	887
6	4898	887

prune58.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Error

0.0b

Counts

78 → 7

Alt Table

Status	Error	Program
	32.7b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 y z t))
	31.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
▶	0.5b	(fma.f64 (log.f64 y) x (neg.f64 (fma.f64 y z t)))
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	44.0b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (+.f64 (.f64 t t) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) (+.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))))
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)

Compiler

Compiled 1408 to 427 computations (69.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series108.0ms (1.7%)

Counts

1 → 48

Calls

1 calls:

108.0ms

(fma.f64 (log.f64 y) x (neg.f64 (fma.f64 y z t)))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (log.f64 y) x (neg.f64 (fma.f64 y z t)))

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

700×	`unsub-neg_binary64`
417×	`distribute-rgt-in_binary64`
415×	`times-frac_binary64`
393×	`distribute-rgt-out_binary64`
387×	`distribute-lft-in_binary64`

Counts

58 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	733
1	90	706
2	220	704
3	600	704
4	2588	704
5	4054	704
6	5131	704

prune17.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

0.0b

Counts

38 → 7

Alt Table

Status	Error	Program
	32.7b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 y z t))
	31.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
✓	0.5b	(fma.f64 (log.f64 y) x (neg.f64 (fma.f64 y z t)))
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	44.0b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) 3) (pow.f64 t 3)) (+.f64 (.f64 t t) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) (+.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t))))
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)

Compiler

Compiled 545 to 167 computations (69.4% saved)

regimes528.0ms (8.2%)

Accuracy

Total 0.1b remaining (60.3%)

Threshold costs 0.1b (60.3%)

Counts

92 → 1

Compiler

Compiled 12812 to 6645 computations (48.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
1×	`mul-1-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	23	17
2	27	17
3	29	17
4	30	17
5	28	17

end100.0ms (1.6%)

Compiler: Compiled 201 to 108 computations (46.3% saved)

Details

analyze791.0ms (12.3%)

sample2.5s (38.2%)

simplify55.0ms (0.9%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series896.0ms (14%)

rewrite9.0ms (0.1%)

simplify123.0ms (1.9%)

prune131.0ms (2%)

localize9.0ms (0.1%)

series624.0ms (9.7%)

rewrite9.0ms (0.1%)

simplify93.0ms (1.5%)

prune121.0ms (1.9%)

localize7.0ms (0.1%)

series110.0ms (1.7%)

rewrite4.0ms (0.1%)

simplify84.0ms (1.3%)

prune58.0ms (0.9%)

localize8.0ms (0.1%)

series108.0ms (1.7%)

rewrite1.0ms (0%)

simplify71.0ms (1.1%)

prune17.0ms (0.3%)

regimes528.0ms (8.2%)

simplify2.0ms (0%)

end100.0ms (1.6%)

Profiling