Details

analyze446.0ms (14.1%)

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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	237×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	13×	body	80	invalid
0.0ms	4×	body	160	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify429.0ms (13.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	2427	16
1	2427	16

prune10.0ms (0.3%)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 78

Calls

4 calls:

21.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
12.0ms	(*.f64 (-.f64 y x) 6)
8.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
7.0ms	(-.f64 2/3 z)

series31.0ms (1%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
10.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
5.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(-.f64 2/3 z)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5187	1296

prune81.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

Compiler

Compiled 1629 to 974 computations (40.2% saved)

localize9.0ms (0.3%)

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))))
0.2b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
5×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

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))

series36.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
13.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
9.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4965	1435
1	4965	1435

prune57.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

Compiler

Compiled 1614 to 836 computations (48.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite62.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
10×	`sub-neg_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3--_binary64` `associate-r_binary64` `associate-l_binary64` `flip--_binary64`
5×	`associate-+r+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `associate-*l/_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 81

Calls

4 calls:

20.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
15.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
12.0ms	(*.f64 z (-.f64 x y))
11.0ms	(.f64 6 (.f64 z (-.f64 x y)))

series57.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
16.0ms	(.f64 6 (.f64 z (-.f64 x y)))
13.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
8.0ms	(*.f64 z (-.f64 x y))

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4948	1729
1	4948	1729

prune81.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

Compiler

Compiled 2161 to 1002 computations (53.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
13×	`associate-r_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `unsub-neg_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))
8.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series34.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
8.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
5.0ms	(*.f64 (-.f64 y x) 6)

simplify101.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4937	1535
1	4937	1535

prune59.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

Compiler

Compiled 1972 to 963 computations (51.2% saved)

regimes150.0ms (4.8%)

Compiler: Compiled 645 to 456 computations (29.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms (0%)

sample1.1s (35%)

Algorithm

1×

intervals

Results

253.0ms	7270×	body	80	valid
33.0ms	264×	body	640	valid
30.0ms	160×	body	1280	valid
21.0ms	199×	body	320	valid
20.0ms	584×	body	80	invalid
7.0ms	107×	body	160	valid

Compiler

Compiled 242 to 174 computations (28.1% saved)

Details

analyze446.0ms (14.1%)

sample19.0ms (0.6%)

simplify429.0ms (13.6%)

prune10.0ms (0.3%)

localize14.0ms (0.4%)

rewrite51.0ms (1.6%)

series31.0ms (1%)

simplify63.0ms (2%)

prune81.0ms (2.6%)

localize9.0ms (0.3%)

rewrite28.0ms (0.9%)

series36.0ms (1.1%)

simplify89.0ms (2.8%)

prune57.0ms (1.8%)

localize9.0ms (0.3%)

rewrite62.0ms (2%)

series57.0ms (1.8%)

simplify90.0ms (2.9%)

prune81.0ms (2.6%)

localize9.0ms (0.3%)

rewrite30.0ms (1%)

series34.0ms (1.1%)

simplify101.0ms (3.2%)

prune59.0ms (1.9%)

regimes150.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35%)

Profiling