Details

analyze1.7s (22.5%)

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%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
7.0ms	141×	body	128	invalid

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
19×	`+-commutative_binary64`
10×	`*-commutative_binary64`
3×	`associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	27	19
2	55	19
3	77	19
4	81	19
5	81	19
6	81	19

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	1.3b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 99 to 62 computations (37.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
1.3b	(.f64 a (+.f64 t (.f64 z b)))

rewrite153.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 60

Calls

4 calls:

8.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
4.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 1298 to 262 computations (79.8% saved)

series338.0ms (4.6%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

118.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
83.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
52.0ms	(.f64 a (+.f64 t (.f64 z b)))
32.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 3181 to 1909 computations (40% saved)

simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
693×	`distribute-lft-in_binary64`
208×	`associate-+l+_binary64`
189×	`associate-+r+_binary64`
182×	`cancel-sign-sub-inv_binary64`

Counts

165 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2345
1	355	2180
2	1211	2180
3	4978	2180
4	5010	2180

prune53.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Error

0.0b

Counts

88 → 5

Alt Table

Status	Error	Program
	34.1b	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y))) (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))))
	2.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x)) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x))) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x)))
▶	1.3b	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
	24.3b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 a (+.f64 t (.f64 z b))))) (-.f64 (.f64 z y) (.f64 a (+.f64 t (*.f64 z b))))))
	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 1059 to 287 computations (72.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a t) (.f64 z y))
0.0b	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
3.2b	(.f64 (.f64 z b) a)

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-log-exp_binary64`
8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
8×	`pow1_binary64`
7×	`sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

9.0ms	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
5.0ms	(.f64 (.f64 z b) a)
4.0ms	(+.f64 (.f64 a t) (.f64 z y))

Compiler

Compiled 1002 to 196 computations (80.4% saved)

series168.0ms (2.3%)

Error

0.0b

Counts

3 → 69

Calls

3 calls:

88.0ms	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
39.0ms	(+.f64 (.f64 a t) (.f64 z y))
25.0ms	(.f64 (.f64 z b) a)

Compiler

Compiled 2250 to 1340 computations (40.4% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
637×	`distribute-lft-in_binary64`
398×	`cancel-sign-sub-inv_binary64`
381×	`*-commutative_binary64`
266×	`distribute-neg-in_binary64`

Counts

113 → 65

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1680
1	316	1452
2	1163	1452
3	3889	1452
4	5022	1452

prune43.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Alt Table

Status	Error	Program
	34.1b	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y))) (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))))
▶	2.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x)) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x))) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x)))
✓	1.3b	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
	24.3b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 a (+.f64 t (.f64 z b))))) (-.f64 (.f64 z y) (.f64 a (+.f64 t (*.f64 z b))))))
	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 961 to 254 computations (73.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x))
1.3b	(.f64 a (+.f64 t (.f64 z b)))
1.3b	(.f64 a (+.f64 t (.f64 z b)))
1.3b	(.f64 a (+.f64 t (.f64 z b)))

rewrite98.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 a (+.f64 t (.f64 z b)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x))
7.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

Compiler

Compiled 3916 to 363 computations (90.7% saved)

series674.0ms (9.1%)

Error

0.0b

Counts

4 → 106

Calls

4 calls:

451.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x))
49.0ms	(.f64 a (+.f64 t (.f64 z b)))
46.0ms	(.f64 a (+.f64 t (.f64 z b)))
45.0ms	(.f64 a (+.f64 t (.f64 z b)))

Compiler

Compiled 17125 to 7758 computations (54.7% saved)

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

893×	`times-frac_binary64`
511×	`associate-/r*_binary64`
473×	`associate-/l*_binary64`
199×	`*-commutative_binary64`
100×	`sqr-pow_binary64`

Counts

186 → 96

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	6242
1	1752	5980
2	5419	5980

prune82.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Error

0.0b

Counts

101 → 5

Alt Table

Status	Error	Program
	34.1b	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y))) (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))))
✓	2.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x)) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x))) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x)))
✓	1.3b	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
	24.3b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 a (+.f64 t (.f64 z b))))) (-.f64 (.f64 z y) (.f64 a (+.f64 t (*.f64 z b))))))
▶	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 5422 to 1522 computations (71.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.3b	(.f64 (.f64 a z) b)

rewrite83.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 1302 to 224 computations (82.8% saved)

series235.0ms (3.2%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

101.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
49.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
30.0ms	(+.f64 x (*.f64 y z))
22.0ms	(.f64 (.f64 a z) b)

Compiler

Compiled 3027 to 1784 computations (41.1% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

891×	`distribute-rgt-in_binary64`
850×	`distribute-lft-in_binary64`
188×	`cancel-sign-sub-inv_binary64`
170×	`associate-l_binary64`
141×	`associate-r_binary64`

Counts

149 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1903
1	367	1849
2	1383	1837
3	4798	1837
4	5000	1837

prune51.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Error

0.0b

Counts

105 → 6

Alt Table

Status	Error	Program
	31.0b	(+.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 z y) x)) (sqrt.f64 (+.f64 (.f64 z y) x))) (.f64 t a)) (.f64 (.f64 a z) b))
	34.1b	(+.f64 x (.f64 (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y))) (sqrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))))
	2.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x)) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) x))) (cbrt.f64 (+.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)) x)))
	1.3b	(+.f64 x (+.f64 (+.f64 (.f64 a t) (.f64 z y)) (.f64 (.f64 z b) a)))
	24.3b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 a (+.f64 t (.f64 z b))))) (-.f64 (.f64 z y) (.f64 a (+.f64 t (*.f64 z b))))))
	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 1092 to 246 computations (77.5% saved)

regimes1.5s (20.8%)

Accuracy

Total 0.4b remaining (93.1%)

Threshold costs 0.4b (93.1%)

Compiler

Compiled 22372 to 11270 computations (49.6% saved)

bsearch10.0ms (0.1%)

Steps

Iters	Range		Point
1	1.8377185365893325e+87	1.9060283211456844e+87	1.8547959827284203e+87
1	-9.385949788625079e-106	-1.6174904815309376e-106	-3.8807719241511593e-106

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	39	58
2	39	58

end1.0ms (0%)

Compiler: Compiled 45 to 24 computations (46.7% saved)

sample1.5s (20.6%)

Algorithm

1×

intervals

Results

378.0ms	3771×	body	128	invalid
376.0ms	8000×	body	128	valid

Compiler

Compiled 270 to 130 computations (51.9% saved)

Details

analyze1.7s (22.5%)

sample49.0ms (0.7%)

simplify20.0ms (0.3%)

prune8.0ms (0.1%)

localize19.0ms (0.3%)

rewrite153.0ms (2.1%)

series338.0ms (4.6%)

simplify136.0ms (1.8%)

prune53.0ms (0.7%)

localize10.0ms (0.1%)

rewrite66.0ms (0.9%)

series168.0ms (2.3%)

simplify92.0ms (1.2%)

prune43.0ms (0.6%)

localize20.0ms (0.3%)

rewrite98.0ms (1.3%)

series674.0ms (9.1%)

simplify132.0ms (1.8%)

prune82.0ms (1.1%)

localize16.0ms (0.2%)

rewrite83.0ms (1.1%)

series235.0ms (3.2%)

simplify105.0ms (1.4%)

prune51.0ms (0.7%)

regimes1.5s (20.8%)

bsearch10.0ms (0.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.5s (20.6%)

Profiling