Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (65.3%)

Results

1.3s	8256×	body	256	valid
1.0ms	14×	body	256	infinite

Bogosity

preprocess81.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1034×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
646×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	17	17
2	32	17
3	59	17
4	223	17
5	2016	17
6	6024	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify86.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1034×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
646×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	17	17
2	32	17
3	59	17
4	223	17
5	2016	17
6	6024	17

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(exp.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(exp.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	-inf	(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite113.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational.json-simplify-2`
1360×	`rational.json-1`
1360×	`rational.json-2`
1360×	`rational.json-4`
1360×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	62	17
2	151	17
3	347	17
4	1198	17
5	4509	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(exp.f64 (-.f64 (*.f64 x x) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -1) (exp.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4)) (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)))))

simplify103.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational.json-simplify-53`
1196×	`rational.json-simplify-2`
1126×	`rational.json-simplify-59`
974×	`rational.json-simplify-49`
740×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	595
1	102	575
2	243	565
3	745	565
4	2134	565
5	4931	565
6	6716	565

Stop Event

1×	node limit

Counts

29 → 31

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(+.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (exp.f64 (+.f64 (*.f64 x x) -1)))
(-.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)
(.f64 2 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2))
(.f64 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 x x)))
(.f64 1/2 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2))
(.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)
(/.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)
(/.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)
(/.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4)) (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4))) 16)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (+.f64 (exp.f64 -1) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))) (.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))) (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6))))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (pow.f64 x 2) -1))
(exp.f64 (+.f64 -1 (pow.f64 x 2)))
(+.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 0 (exp.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 0)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 2 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (exp.f64 -1) (exp.f64 (.f64 x x)))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 1/2 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2) 2)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4) 4)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4)) (.f64 2 (.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 4))) 16)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)
(exp.f64 (+.f64 -1 (*.f64 x x)))

eval7.0ms (0.4%)

Compiler: Compiled 363 to 282 computations (22.3% saved)

prune4.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))
▶	0.5b	(exp.f64 -1)

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune44.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))
✓	0.5b	(exp.f64 -1)

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.6%)

Accuracy

Total -0.5b remaining (-12121.1%)

Threshold costs -0.5b (-12121.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (-.f64 (*.f64 x x) 1))

Calls

5 calls:

4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 -1)

Outputs
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 -1)

Compiler

Compiled 10 to 8 computations (20% saved)

soundness143.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1034×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
646×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	17	17
2	32	17
3	59	17
4	223	17
5	2016	17
6	6024	17

Stop Event

1×	node limit

Compiler

Compiled 30 to 19 computations (36.7% saved)

end74.0ms (3.8%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

Details

analyze5.0ms (0.2%)

sample1.3s (65.3%)

preprocess81.0ms (4.1%)

simplify86.0ms (4.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite113.0ms (5.7%)

simplify103.0ms (5.2%)

eval7.0ms (0.4%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune44.0ms (2.2%)

regimes12.0ms (0.6%)

simplify2.0ms (0.1%)

soundness143.0ms (7.2%)

end74.0ms (3.8%)

Profiling