Details

analyze4.0ms (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
94.4%	53.1%	3.1%	0%	43.7%	0%	0%	7
97.2%	54.7%	1.6%	0%	43.7%	0%	0%	8
98.6%	54.7%	0.8%	0%	44.5%	0%	0%	9
99.3%	54.7%	0.4%	0%	44.9%	0%	0%	10
99.6%	54.9%	0.2%	0%	44.9%	0%	0%	11
99.8%	54.9%	0.1%	0%	45%	0%	0%	12

Compiler

Compiled 21 to 10 computations (52.4% saved)

sample919.0ms (53.6%)

Results

907.0ms	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess152.0ms (8.9%)

Algorithm

2×	egg-herbie

Rules

855×	`unswap-sqr_binary64`
697×	`sqr-pow_binary64`
628×	`cube-prod_binary64`
539×	`associate-l_binary64`
476×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	16
2	57	10
3	111	4
4	426	4
5	1614	4
6	3160	4
7	3311	4
8	3545	4
9	3842	4
10	4228	4
11	4731	4
12	5376	4
13	6158	4
14	6657	4
15	7085	4
16	7506	4
17	7908	4
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Outputs
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)
(.f64 d1 (.f64 d1 (.f64 d1 (.f64 (*.f64 d1 (pow.f64 d1 3)) (pow.f64 d1 3)))))
(.f64 (.f64 d1 d1) (*.f64 (pow.f64 d1 4) (pow.f64 d1 4)))
(*.f64 (pow.f64 d1 5) (pow.f64 d1 5))
(pow.f64 d1 10)

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify144.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

855×	`unswap-sqr_binary64`
697×	`sqr-pow_binary64`
628×	`cube-prod_binary64`
539×	`associate-l_binary64`
476×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	16
2	57	10
3	111	4
4	426	4
5	1614	4
6	3160	4
7	3311	4
8	3545	4
9	3842	4
10	4228	4
11	4731	4
12	5376	4
13	6158	4
14	6657	4
15	7085	4
16	7506	4
17	7908	4

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Outputs
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)
(.f64 d1 (.f64 d1 (.f64 d1 (.f64 (*.f64 d1 (pow.f64 d1 3)) (pow.f64 d1 3)))))
(.f64 (.f64 d1 d1) (*.f64 (pow.f64 d1 4) (pow.f64 d1 4)))
(*.f64 (pow.f64 d1 5) (pow.f64 d1 5))
(pow.f64 d1 10)

eval1.0ms (0%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0.1%)

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

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(pow.f64 d1 10)
▶	0.1b	(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Compiler

Compiled 24 to 12 computations (50% saved)

localize16.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1)) d1))
✓	0.1b	(.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1)
✓	0.1b	(.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1))
✓	0.1b	(.f64 (.f64 d1 (*.f64 d1 d1)) d1)

Compiler

Compiled 90 to 9 computations (90% saved)

series7.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	d1	@	0	(.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1)) d1))
1.0ms	d1	@	0	(.f64 (.f64 d1 (*.f64 d1 d1)) d1)
1.0ms	d1	@	0	(.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1))
1.0ms	d1	@	-inf	(.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1))
1.0ms	d1	@	inf	(.f64 (.f64 d1 (*.f64 d1 d1)) d1)

rewrite80.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	189	22
2	2351	22

Stop Event

1×	node limit

Counts

4 → 57

Calls

Call 1

Inputs
(.f64 (.f64 d1 (*.f64 d1 d1)) d1)
(.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1))
(.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1)
(.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (.f64 d1 d1)) d1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 d1 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 d1 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 d1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 d1 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 d1 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 d1 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 (cbrt.f64 d1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 d1 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 d1 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 d1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 d1 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d1 3) (pow.f64 (pow.f64 d1 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 d1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 d1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 d1 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 d1 (pow.f64 d1 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 (pow.f64 d1 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 d1 (pow.f64 d1 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 d1 d1) (cbrt.f64 d1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 (sqrt.f64 (pow.f64 d1 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 d1 (pow.f64 d1 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 d1 6)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 d1 (pow.f64 d1 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 d1 6) (pow.f64 (pow.f64 d1 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 d1 4) 3) (pow.f64 (pow.f64 d1 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 d1 5) 3) (pow.f64 d1 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 d1 (pow.f64 d1 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 d1 (pow.f64 d1 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 d1 (pow.f64 d1 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 d1 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 d1 5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 d1 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 d1 5) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 d1 5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 d1 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 d1 5) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 d1 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 d1 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 d1 3) (pow.f64 (pow.f64 d1 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 d1 4) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 d1 3) 3) (pow.f64 d1 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 d1 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 d1 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 d1 5)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (pow.f64 d1 3) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 d1 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 d1 3) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (pow.f64 d1 3) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 d1 4) (sqrt.f64 d1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (pow.f64 d1 3) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 d1 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (pow.f64 d1 3) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 d1 3) (pow.f64 (pow.f64 (pow.f64 d1 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 d1 4) 2) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 d1 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 d1 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 d1 3) 3)))))))

simplify141.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

866×	`cube-prod_binary64`
608×	`sqr-pow_binary64`
603×	`associate-l_binary64`
586×	`fabs-mul_binary64`
445×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	192
1	26	192
2	47	192
3	85	192
4	173	192
5	498	192
6	2014	192
7	2338	192
8	2684	192
9	3180	192
10	3878	192
11	4946	192
12	5788	192
13	6512	192
14	7025	192
15	7463	192
16	7856	192

Stop Event

1×	node limit

Counts

105 → 59

Calls

Call 1

Inputs
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)

Outputs
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 4)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 7)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 5)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)
(pow.f64 d1 9)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval16.0ms (0.9%)

Compiler: Compiled 860 to 521 computations (39.4% saved)

prune9.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(pow.f64 d1 10)
✓	0.1b	(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Compiler

Compiled 24 to 12 computations (50% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.1b remaining (-∞%)

Threshold costs -0.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)
(pow.f64 d1 10)

Outputs
(pow.f64 d1 10)

Calls

2 calls:

3.0ms	d1
2.0ms	(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Results

Error	Segments	Branch
0b	1	`d1`
0b	1	`(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)`

Compiler

Compiled 45 to 21 computations (53.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	19	32

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(pow.f64 d1 10)
(.f64 (.f64 d1 (.f64 (.f64 (.f64 (.f64 (.f64 d1 (.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

Outputs

(pow.f64 d1 10)

(*.f64 (*.f64 d1 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 d1 (*.f64 d1 d1)) d1) d1) (*.f64 d1 d1)) d1)) d1)

(*.f64 d1 (*.f64 d1 (*.f64 d1 (*.f64 (*.f64 d1 d1) (*.f64 d1 (*.f64 d1 (*.f64 d1 (*.f64 d1 d1))))))))

Compiler

Compiled 24 to 12 computations (50% saved)

soundness190.0ms (11.1%)

Algorithm

1×	egg-herbie

Rules

855×	`unswap-sqr_binary64`
697×	`sqr-pow_binary64`
628×	`cube-prod_binary64`
539×	`associate-l_binary64`
476×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	16
2	57	10
3	111	4
4	426	4
5	1614	4
6	3160	4
7	3311	4
8	3545	4
9	3842	4
10	4228	4
11	4731	4
12	5376	4
13	6158	4
14	6657	4
15	7085	4
16	7506	4
17	7908	4

Stop Event

1×	node limit

Compiler

Compiled 250 to 144 computations (42.4% saved)

end20.0ms (1.2%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

Details

analyze4.0ms (0.2%)

sample919.0ms (53.6%)

preprocess152.0ms (8.9%)

simplify144.0ms (8.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize16.0ms (0.9%)

series7.0ms (0.4%)

rewrite80.0ms (4.7%)

simplify141.0ms (8.2%)

localize3.0ms (0.2%)

eval16.0ms (0.9%)

prune9.0ms (0.5%)

regimes6.0ms (0.3%)

simplify4.0ms (0.2%)

soundness190.0ms (11.1%)

end20.0ms (1.2%)

Profiling