Details

analyze1.8s (19.9%)

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0%	99.8%	0.2%	13
0%	99.8%	0.2%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample2.6s (28.3%)

Results

1.6s	8042×	body	128	valid
674.0ms	294×	body	8192	exit
110.0ms	270×	body	128	invalid
36.0ms	83×	body	1024	valid
32.0ms	91×	body	512	valid
9.0ms	40×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-neg_binary64`
396×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
289×	`fma-def_binary64`
260×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	21
2	153	21
3	362	21
4	1315	21
5	4639	21
6	5067	21

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

5.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.6b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 71 to 37 computations (47.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	5.6b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series879.0ms (9.7%)

Counts

4 → 156

Calls

4 calls:

386.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
254.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
177.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
62.0ms	(tanh.f64 (/.f64 x y))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
45×	`prod-diff_binary64`
42×	`add-cube-cbrt_binary64`
26×	`associate-+r+_binary64`

Counts

4 → 152

Calls

4 calls:

14.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
6.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
6.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.0ms	(tanh.f64 (/.f64 x y))

simplify314.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

311×	`fma-neg_binary64`
299×	`associate-l_binary64`
276×	`associate-r_binary64`
271×	`fma-def_binary64`
244×	`distribute-rgt-in_binary64`

Counts

308 → 303

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	18586
1	1347	13797
2	4946	13797
3	5180	13797

prune209.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	301	2	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	2	304

Error

0.0b

Counts

304 → 2

Alt Table

Status	Error	Program
	25.5b	(+.f64 x (*.f64 (-.f64 t x) z))
▶	5.6b	(+.f64 x (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))))

Compiler

Compiled 12795 to 3523 computations (72.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))
✓	7.3b	(.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))
✓	8.4b	(.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))

series613.0ms (6.7%)

Counts

3 → 120

Calls

3 calls:

324.0ms	(+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))
151.0ms	(.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))
138.0ms	(.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`associate-*l/_binary64`
13×	`associate-l_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`

Counts

3 → 79

Calls

3 calls:

8.0ms	(+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))
5.0ms	(.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))
5.0ms	(.f64 (tanh.f64 (/.f64 t y)) (.f64 y z))

simplify188.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

498×	`times-frac_binary64`
361×	`associate-r_binary64`
323×	`associate-l_binary64`
259×	`*-commutative_binary64`
254×	`fma-neg_binary64`

Counts

199 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	10316
1	1031	8574
2	3811	8570
3	5209	8570

prune836.0ms (9.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Error

0.0b

Counts

214 → 2

Alt Table

Status	Error	Program
▶	25.5b	(+.f64 x (*.f64 (-.f64 t x) z))
✓	5.6b	(+.f64 x (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))))

Compiler

Compiled 7993 to 2283 computations (71.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (-.f64 t x) z))
✓	0.0b	(*.f64 (-.f64 t x) z)

series14.0ms (0.2%)

Counts

2 → 60

Calls

2 calls:

7.0ms	(+.f64 x (*.f64 (-.f64 t x) z))
7.0ms	(*.f64 (-.f64 t x) z)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 40

Calls

2 calls:

7.0ms	(*.f64 (-.f64 t x) z)
2.0ms	(+.f64 x (*.f64 (-.f64 t x) z))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-+l+_binary64`
255×	`associate-l_binary64`
252×	`distribute-rgt-in_binary64`
242×	`fma-def_binary64`
240×	`distribute-lft-in_binary64`

Counts

100 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1034
1	219	839
2	604	835
3	1975	835
4	4799	835
5	4988	835

prune39.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Error

Counts

76 → 3

Alt Table

Status	Error	Program
▶	36.2b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3)))
✓	25.5b	(+.f64 x (*.f64 (-.f64 t x) z))
✓	5.6b	(+.f64 x (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))))

Compiler

Compiled 971 to 292 computations (69.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3)))
✓	0.0b	(*.f64 z (-.f64 t x))
✓	0.3b	(pow.f64 (*.f64 z (-.f64 t x)) 3)
✓	27.4b	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3))

series85.0ms (0.9%)

Counts

4 → 144

Calls

4 calls:

31.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3)))
27.0ms	(pow.f64 (*.f64 z (-.f64 t x)) 3)
20.0ms	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3))
7.0ms	(*.f64 z (-.f64 t x))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

4 → 114

Calls

4 calls:

5.0ms	(*.f64 z (-.f64 t x))
4.0ms	(pow.f64 (*.f64 z (-.f64 t x)) 3)
4.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3))

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

573×	`distribute-rgt-in_binary64`
572×	`fma-neg_binary64`
340×	`cancel-sign-sub-inv_binary64`
260×	`associate-r_binary64`
247×	`associate-l_binary64`

Counts

258 → 183

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	3363
1	487	3083
2	1876	2887
3	4712	2869
4	4954	2869

prune108.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	183	3	186

Error

Counts

186 → 3

Alt Table

Status	Error	Program
✓	36.2b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (-.f64 t x)) 3)))
✓	25.5b	(+.f64 x (*.f64 (-.f64 t x) z))
✓	5.6b	(+.f64 x (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z))))

Compiler

Compiled 3264 to 1416 computations (56.6% saved)

regimes949.0ms (10.4%)

Accuracy

Total 1.8b remaining (90%)

Threshold costs 0b (0%)

Counts

106 → 2

Compiler

Compiled 10406 to 6516 computations (37.4% saved)

bsearch28.0ms (0.3%)

Steps

Iters	Range		Point
7	-3.891212521362414e+130	-6.2702698417117625e+128	-3.8397005902903564e+130

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	26	37
2	34	37
3	38	37
4	40	37
5	40	37

end70.0ms (0.8%)

Compiler: Compiled 107 to 65 computations (39.3% saved)

Details

analyze1.8s (19.9%)

sample2.6s (28.3%)

simplify43.0ms (0.5%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series879.0ms (9.7%)

rewrite42.0ms (0.5%)

simplify314.0ms (3.5%)

prune209.0ms (2.3%)

localize12.0ms (0.1%)

series613.0ms (6.7%)

rewrite23.0ms (0.3%)

simplify188.0ms (2.1%)

prune836.0ms (9.2%)

localize5.0ms (0.1%)

series14.0ms (0.2%)

rewrite11.0ms (0.1%)

simplify73.0ms (0.8%)

prune39.0ms (0.4%)

localize8.0ms (0.1%)

series85.0ms (0.9%)

rewrite21.0ms (0.2%)

simplify119.0ms (1.3%)

prune108.0ms (1.2%)

regimes949.0ms (10.4%)

bsearch28.0ms (0.3%)

simplify3.0ms (0%)

end70.0ms (0.8%)

Profiling