Details

analyze1.3s (6.4%)

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%	96.6%	3.4%	6
0%	96.6%	3.4%	7
0%	95%	5%	8
0%	85.7%	14.3%	9
0%	64.3%	35.7%	10
0%	64.3%	35.7%	11
0.5%	49.2%	50.3%	12
0.7%	49%	50.3%	13
1%	47.6%	51.4%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample6.3s (31.6%)

Results

4.4s	22532×	body	128	invalid
1.7s	8256×	body	128	valid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l/_binary64`
552×	`associate-/r/_binary64`
488×	`associate-*l/_binary64`
352×	`associate-*r/_binary64`
345×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	37	26
2	78	24
3	186	24
4	517	24
5	1664	24
6	4362	24
7	4750	24
8	5045	24

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	1.4b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
	26.0b	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))

Compiler

Compiled 132 to 90 computations (31.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
✓	0.3b	(*.f64 y (log.f64 z))
✓	0.7b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
✓	0.9b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

series2.7s (13.7%)

Counts

4 → 176

Calls

4 calls:

1.4s	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
692.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
495.0ms	(*.f64 y (log.f64 z))
79.0ms	(*.f64 (-.f64 t 1) (log.f64 a))

rewrite37.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
14×	`exp-sum_binary64`
13×	`add-cbrt-cube_binary64`

Counts

4 → 116

Calls

4 calls:

15.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
6.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
6.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
3.0ms	(*.f64 y (log.f64 z))

simplify262.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-neg_binary64`
314×	`associate-r_binary64`
302×	`associate-l_binary64`
245×	`cancel-sign-sub-inv_binary64`
170×	`times-frac_binary64`

Counts

292 → 248

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	7243
1	895	6044
2	3341	5911
3	4549	5911
4	4999	5911
5	4924	5911

prune266.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	243	5	248
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	244	6	250

Error

Counts

250 → 6

Alt Table

Status	Error	Program
▶	19.4b	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y))) y)
✓	1.4b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
	25.1b	(.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (/.f64 x y))
	19.8b	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y))))
	20.1b	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)) y))
	44.3b	(.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)) (sqrt.f64 y)))

Compiler

Compiled 7288 to 3118 computations (57.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)))
✓	0.1b	(pow.f64 a (+.f64 t -1))
✓	0.2b	(/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b))
✓	0.7b	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y))) y)

series3.9s (19.6%)

Counts

4 → 204

Calls

4 calls:

2.0s	(.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)))
1.7s	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y))) y)
196.0ms	(/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b))
35.0ms	(pow.f64 a (+.f64 t -1))

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`add-exp-log_binary64`
50×	`prod-exp_binary64`
35×	`div-exp_binary64`
29×	`add-cbrt-cube_binary64`
28×	`*-un-lft-identity_binary64`

Counts

4 → 143

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y))) y)
8.0ms	(.f64 x (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)))
7.0ms	(pow.f64 a (+.f64 t -1))
4.0ms	(/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b))

simplify256.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
411×	`associate-/l*_binary64`
388×	`times-frac_binary64`
336×	`associate-r_binary64`
279×	`associate-l_binary64`

Counts

347 → 316

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	9035
1	1103	8367
2	4444	8357
3	5274	8357

prune361.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	317	5	322

Error

Counts

322 → 5

Alt Table

Status	Error	Program
	25.1b	(.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (/.f64 x y))
	19.9b	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (*.f64 y (exp.f64 b))))
✓	1.4b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
▶	19.0b	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)
	20.1b	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)) y))

Compiler

Compiled 8673 to 3911 computations (54.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 z y) x)
✓	0.0b	(*.f64 a (exp.f64 b))
✓	0.2b	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b)))
✓	1.2b	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)

series1.6s (8.3%)

Counts

4 → 180

Calls

4 calls:

763.0ms	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)
646.0ms	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b)))
233.0ms	(*.f64 (pow.f64 z y) x)
5.0ms	(*.f64 a (exp.f64 b))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-exp-log_binary64`
38×	`add-cbrt-cube_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`div-exp_binary64`
24×	`prod-exp_binary64`

Counts

4 → 124

Calls

4 calls:

7.0ms	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)
5.0ms	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b)))
5.0ms	(*.f64 (pow.f64 z y) x)
3.0ms	(*.f64 a (exp.f64 b))

simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
468×	`times-frac_binary64`
363×	`associate-/l*_binary64`
268×	`associate-/r*_binary64`
222×	`fma-neg_binary64`

Counts

304 → 233

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	5556
1	797	5036
2	3686	4916
3	4624	4916
4	4985	4916
5	4975	4916

prune184.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	233	5	238

Error

Counts

238 → 5

Alt Table

Status	Error	Program
✓	1.4b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
▶	19.0b	(.f64 (/.f64 (.f64 (pow.f64 z y) x) (*.f64 a (exp.f64 b))) (/.f64 1 y))
	19.9b	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (*.f64 y (exp.f64 b))))
✓	19.0b	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)
	20.1b	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)) y))

Compiler

Compiled 5054 to 1168 computations (76.9% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (pow.f64 z y) x)
	0.0b	(*.f64 a (exp.f64 b))
	0.2b	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b)))
✓	1.2b	(.f64 (/.f64 (.f64 (pow.f64 z y) x) (*.f64 a (exp.f64 b))) (/.f64 1 y))

series612.0ms (3.1%)

Counts

1 → 60

Calls

1 calls:

612.0ms

(*.f64 (/.f64 (*.f64 (pow.f64 z y) x) (*.f64 a (exp.f64 b))) (/.f64 1 y))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`add-exp-log_binary64`
76×	`prod-exp_binary64`
50×	`div-exp_binary64`
42×	`add-cbrt-cube_binary64`
18×	`cbrt-unprod_binary64`

Counts

1 → 82

Calls

1 calls:

10.0ms

(*.f64 (/.f64 (*.f64 (pow.f64 z y) x) (*.f64 a (exp.f64 b))) (/.f64 1 y))

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l/_binary64`
417×	`associate-/r/_binary64`
393×	`times-frac_binary64`
279×	`fma-neg_binary64`
244×	`associate-/l*_binary64`

Counts

142 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	3460
1	564	2922
2	2517	2826
3	4909	2824
4	5098	2824

prune191.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	257	5	262

Error

Counts

262 → 5

Alt Table

Status	Error	Program
✓	1.4b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
✓	19.0b	(.f64 (/.f64 (.f64 (pow.f64 z y) x) (*.f64 a (exp.f64 b))) (/.f64 1 y))
	19.9b	(/.f64 (.f64 (pow.f64 z y) x) (.f64 a (*.f64 y (exp.f64 b))))
✓	19.0b	(/.f64 (/.f64 (.f64 (pow.f64 z y) x) (.f64 a (exp.f64 b))) y)
	20.1b	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 a (+.f64 t -1)) (exp.f64 b)) (pow.f64 z y)) y))

Compiler

Compiled 5835 to 1740 computations (70.2% saved)

regimes1.3s (6.6%)

Accuracy

Total 1.9b remaining (95.9%)

Threshold costs 0b (0%)

Counts

113 → 1

Compiler

Compiled 27377 to 19051 computations (30.4% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	22	26
2	24	26
3	25	26
4	25	26

end83.0ms (0.4%)

Compiler: Compiled 148 to 102 computations (31.1% saved)

Details

analyze1.3s (6.4%)

sample6.3s (31.6%)

simplify55.0ms (0.3%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series2.7s (13.7%)

rewrite37.0ms (0.2%)

simplify262.0ms (1.3%)

prune266.0ms (1.3%)

localize16.0ms (0.1%)

series3.9s (19.6%)

rewrite50.0ms (0.3%)

simplify256.0ms (1.3%)

prune361.0ms (1.8%)

localize12.0ms (0.1%)

series1.6s (8.3%)

rewrite29.0ms (0.1%)

simplify175.0ms (0.9%)

prune184.0ms (0.9%)

localize10.0ms (0%)

series612.0ms (3.1%)

rewrite23.0ms (0.1%)

simplify103.0ms (0.5%)

prune191.0ms (1%)

regimes1.3s (6.6%)

simplify6.0ms (0%)

end83.0ms (0.4%)

Profiling