Details

analyze403.0ms (10%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	231×	body	128	valid
2.0ms	13×	body	1024	valid
1.0ms	7×	body	512	valid
1.0ms	13×	body	128	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify329.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	2399	16
1	2399	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(-.f64 2/3 z)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_9534`
13×	`*-un-lft-identity_binary64_9513`
11×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
10×	`associate-*l/_binary64_9458`
8×	`associate-r_binary64_9455` `add-log-exp_binary64_9549` `flip3--_binary64_9517` `flip--_binary64_9488`
7×	`add-cube-cbrt_binary64_9545`
6×	`associate-l_binary64_9456`
5×	`sub-neg_binary64_9506`
4×	`pow-prod-down_binary64_9581` `prod-exp_binary64_9559` `frac-times_binary64_9523` `cbrt-unprod_binary64_9543`
3×	`difference-of-squares_binary64_9482` `distribute-lft-out--_binary64_9467`
2×	`associate-+r+_binary64_9447` `-commutative_binary64_9446` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465` `associate-r/_binary64_9457`
1×	`flip3-+_binary64_9516` `diff-log_binary64_9602` `+-commutative_binary64_9445` `sum-log_binary64_9601` `flip-+_binary64_9487` `unswap-sqr_binary64_9481`

Counts

4 → 78

Calls

4 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

series232.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
76.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
40.0ms	(*.f64 (-.f64 y x) 6)
24.0ms	(-.f64 2/3 z)

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5679	1296

prune101.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

Compiler

Compiled 1697 to 1031 computations (39.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-l_binary64_9456`
13×	`add-sqr-sqrt_binary64_9534`
11×	`add-exp-log_binary64_9548` `*-un-lft-identity_binary64_9513` `add-log-exp_binary64_9549` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
9×	`add-cube-cbrt_binary64_9545`
8×	`associate-*l/_binary64_9458`
6×	`associate-*r/_binary64_9457`
4×	`pow-prod-down_binary64_9581` `flip3-+_binary64_9516` `associate-r_binary64_9455` `sum-log_binary64_9601` `prod-exp_binary64_9559` `frac-add_binary64_9521` `flip-+_binary64_9487` `flip3--_binary64_9517` `flip--_binary64_9488` `cbrt-unprod_binary64_9543`
3×	`distribute-rgt-neg-in_binary64_9473` `distribute-lft-neg-in_binary64_9472`
2×	`+-commutative_binary64_9445` `distribute-lft-neg-out_binary64_9474` `*-commutative_binary64_9446`
1×	`difference-of-squares_binary64_9482` `associate-+l+_binary64_9448` `distribute-lft-out--_binary64_9467` `unsub-neg_binary64_9507` `unswap-sqr_binary64_9481` `neg-mul-1_binary64_9509`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
9.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series265.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
88.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
44.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
42.0ms	(*.f64 (-.f64 y x) 6)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	1544
1	4964	1544

prune98.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 2132 to 1098 computations (48.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (neg.f64 z) (-.f64 y x))
0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.3b	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_9534`
11×	`add-exp-log_binary64_9548` `-un-lft-identity_binary64_9513` `add-log-exp_binary64_9549` `associate-l*_binary64_9456` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
9×	`add-cube-cbrt_binary64_9545`
8×	`associate-r_binary64_9455` `associate-*r/_binary64_9457`
6×	`associate-*l/_binary64_9458`
5×	`distribute-lft-neg-out_binary64_9474`
4×	`pow-prod-down_binary64_9581` `flip3-+_binary64_9516` `sum-log_binary64_9601` `prod-exp_binary64_9559` `frac-add_binary64_9521` `flip-+_binary64_9487` `flip3--_binary64_9517` `flip--_binary64_9488` `cbrt-unprod_binary64_9543`
3×	`distribute-rgt-neg-in_binary64_9473` `distribute-lft-neg-in_binary64_9472`
2×	`+-commutative_binary64_9445` `sub-neg_binary64_9506` `*-commutative_binary64_9446`
1×	`difference-of-squares_binary64_9482` `associate-+l+_binary64_9448` `distribute-lft-out--_binary64_9467` `unsub-neg_binary64_9507` `unswap-sqr_binary64_9481` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465` `neg-mul-1_binary64_9509`

Counts

4 → 82

Calls

4 calls:

11.0ms	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)
8.0ms	(*.f64 (neg.f64 z) (-.f64 y x))
8.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series289.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
80.0ms	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)
72.0ms	(*.f64 (neg.f64 z) (-.f64 y x))
46.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5310	1560

prune94.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 2150 to 1045 computations (51.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
0.5b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_9549`
8×	`add-exp-log_binary64_9548` `*-un-lft-identity_binary64_9513` `add-cbrt-cube_binary64_9546` `pow1_binary64_9571`
6×	`add-sqr-sqrt_binary64_9534` `associate-*r/_binary64_9457`
5×	`associate-r_binary64_9455` `flip3--_binary64_9517` `flip--_binary64_9488`
4×	`add-cube-cbrt_binary64_9545` `associate-*l/_binary64_9458` `sum-log_binary64_9601` `sub-neg_binary64_9506` `frac-add_binary64_9521`
3×	`pow-prod-down_binary64_9581` `prod-exp_binary64_9559` `associate-+r+_binary64_9447` `cbrt-unprod_binary64_9543`
2×	`flip3-+_binary64_9516` `+-commutative_binary64_9445` `flip-+_binary64_9487` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465`
1×	`difference-of-squares_binary64_9482` `distribute-lft-out--_binary64_9467` `associate-l_binary64_9456` `*-commutative_binary64_9446` `distribute-lft-out_binary64_9466`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
8.0ms	(.f64 (.f64 6 z) (-.f64 x y))

series260.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
86.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
83.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	1435
1	4967	1435

prune63.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

Compiler

Compiled 1445 to 713 computations (50.7% saved)

regimes288.0ms (7.1%)

Compiler: Compiled 3082 to 2421 computations (21.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	181	22
1	181	22

end0.0ms (0%)

sample1.2s (28.8%)

Algorithm

1×

intervals

Results

280.0ms	7345×	body	128	valid
34.0ms	261×	body	1024	valid
23.0ms	237×	body	512	valid
22.0ms	587×	body	128	invalid
11.0ms	157×	body	256	valid

Compiler

Compiled 637 to 500 computations (21.5% saved)

Details

analyze403.0ms (10%)

sample23.0ms (0.6%)

simplify329.0ms (8.1%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite33.0ms (0.8%)

series232.0ms (5.7%)

simplify48.0ms (1.2%)

prune101.0ms (2.5%)

localize10.0ms (0.3%)

rewrite36.0ms (0.9%)

series265.0ms (6.5%)

simplify66.0ms (1.6%)

prune98.0ms (2.4%)

localize10.0ms (0.2%)

rewrite39.0ms (1%)

series289.0ms (7.1%)

simplify62.0ms (1.5%)

prune94.0ms (2.3%)

localize10.0ms (0.2%)

rewrite32.0ms (0.8%)

series260.0ms (6.4%)

simplify72.0ms (1.8%)

prune63.0ms (1.6%)

regimes288.0ms (7.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.2s (28.8%)

Profiling