Details

analyze112.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
87.4%	12.5%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (34.5%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

823×	`div-sub_binary64`
529×	`fma-neg_binary64`
475×	`distribute-rgt-in_binary64`
409×	`fma-def_binary64`
380×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	50	11
3	156	11
4	331	11
5	666	11
6	1744	11
7	3988	11
8	4953	11

prune5.0ms (0.1%)

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

6.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 44 to 26 computations (40.9% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	6.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series51.0ms (1.5%)

Counts

2 → 72

Calls

2 calls:

36.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
14.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 51

Calls

2 calls:

19.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
15.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

simplify106.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

555×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
516×	`associate-/l*_binary64`
469×	`times-frac_binary64`
227×	`fma-def_binary64`

Counts

123 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1568
1	273	1257
2	1027	1253
3	4803	1253
4	4971	1253

prune141.0ms (4.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	5	103

Error

0.0b

Counts

103 → 5

Alt Table

Status	Error	Program
	6.3b	(.f64 (.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
	6.3b	(/.f64 1 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) 1))))
	1.8b	(*.f64 x (/.f64 (-.f64 (+.f64 1 y) z) z))
	36.8b	(/.f64 (/.f64 (fma.f64 x (-.f64 y z) x) (sqrt.f64 z)) (sqrt.f64 z))
▶	1.4b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

Compiler

Compiled 1551 to 698 computations (55% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
✓	1.4b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

series64.0ms (1.9%)

Counts

2 → 60

Calls

2 calls:

33.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
30.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite64.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
70×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
32×	`distribute-lft-out_binary64`

Counts

2 → 143

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))
11.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))

simplify291.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

780×	`times-frac_binary64`
653×	`fma-def_binary64`
173×	`fma-neg_binary64`
164×	`associate-/r/_binary64`
142×	`distribute-neg-in_binary64`

Counts

203 → 240

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	4769
1	700	4591
2	2636	4422
3	4765	4413
4	4988	4413
5	4967	4413

prune180.0ms (5.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	241	4	245

Error

Counts

245 → 4

Alt Table

Status	Error	Program
	6.3b	(/.f64 1 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) 1))))
▶	3.7b	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)
	5.9b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
✓	1.4b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

Compiler

Compiled 5169 to 2617 computations (49.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)
✓	3.6b	(fma.f64 (/.f64 y z) x (/.f64 x z))

series39.0ms (1.2%)

Counts

2 → 72

Calls

2 calls:

20.0ms	(fma.f64 (/.f64 y z) x (/.f64 x z))
19.0ms	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)
0.0ms	(fma.f64 (/.f64 y z) x (/.f64 x z))

simplify92.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

532×	`fma-neg_binary64`
432×	`fma-def_binary64`
410×	`associate-r_binary64`
323×	`distribute-rgt-out_binary64`
297×	`exp-prod_binary64`

Counts

113 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1550
1	160	1503
2	620	1466
3	2489	1152
4	4207	1152
5	4908	1152

prune42.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Error

Counts

78 → 4

Alt Table

Status	Error	Program
	6.3b	(/.f64 1 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) 1))))
✓	3.7b	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)
▶	5.9b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
✓	1.4b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

Compiler

Compiled 1409 to 294 computations (79.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))

series18.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

18.0ms

(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 42

Calls

1 calls:

20.0ms

(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-in_binary64`
687×	`distribute-lft-in_binary64`
318×	`associate-*l/_binary64`
318×	`fma-def_binary64`
266×	`associate-*r/_binary64`

Counts

78 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1243
1	340	1091
2	1095	998
3	4418	998
4	4985	998

prune46.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Error

Counts

84 → 4

Alt Table

Status	Error	Program
	6.3b	(/.f64 1 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) 1))))
✓	3.7b	(-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)
✓	5.9b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
✓	1.4b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

Compiler

Compiled 1328 to 524 computations (60.5% saved)

regimes520.0ms (15.7%)

Accuracy

Total 0.7b remaining (98.4%)

Threshold costs 0.7b (98.4%)

Counts

59 → 3

Compiler

Compiled 3351 to 2054 computations (38.7% saved)

bsearch33.0ms (1%)

Steps

Iters	Range		Point
5	2.380603161814143e-119	5.33648258777566e-119	5.246984068361077e-119
6	-9.170395685429223e+115	-8.840551927131281e+114	-8.970176524587994e+114

Compiler

Compiled 4 to 3 computations (25% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	31	51
2	36	51
3	38	51
4	39	51
5	38	51

end115.0ms (3.5%)

Compiler: Compiled 127 to 79 computations (37.8% saved)

Details

analyze112.0ms (3.4%)

sample1.1s (34.5%)

simplify64.0ms (1.9%)

prune5.0ms (0.1%)

localize12.0ms (0.3%)

series51.0ms (1.5%)

rewrite38.0ms (1.2%)

simplify106.0ms (3.2%)

prune141.0ms (4.3%)

localize11.0ms (0.3%)

series64.0ms (1.9%)

rewrite64.0ms (1.9%)

simplify291.0ms (8.8%)

prune180.0ms (5.4%)

localize6.0ms (0.2%)

series39.0ms (1.2%)

rewrite6.0ms (0.2%)

simplify92.0ms (2.8%)

prune42.0ms (1.3%)

localize6.0ms (0.2%)

series18.0ms (0.5%)

rewrite22.0ms (0.7%)

simplify75.0ms (2.3%)

prune46.0ms (1.4%)

regimes520.0ms (15.7%)

bsearch33.0ms (1%)

simplify12.0ms (0.4%)

end115.0ms (3.5%)

Profiling