Details

analyze527.0ms (18.8%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify419.0ms (14.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (409.0ms)

Iter	Nodes	Cost
0	5522	10

prune4.0ms (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

Merged error: 10.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.0b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms	(*.f64 x (-.f64 y z))

series19.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
8.0ms	(*.f64 x (-.f64 y z))

simplify86.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4970	566
1	4970	566

prune44.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	9	54

Merged error: 0b

Counts

54 → 9

Compiler

Compiled 694 to 224 computations (67.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
3.7b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
6.0ms	(/.f64 y (-.f64 y z))

series17.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
6.0ms	(/.f64 y (-.f64 y z))

simplify85.0ms (3%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4993	2830
1	4993	2830

prune74.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	3	4	7
Picked	0	1	1
Done	1	0	1
Total	147	7	154

Merged error: 0b

Counts

154 → 7

Compiler

Compiled 2340 to 448 computations (80.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
3.9b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
7.0ms	(/.f64 (-.f64 y z) y)

series16.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
5.0ms	(/.f64 (-.f64 y z) y)

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5183	1068

prune41.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

Compiler

Compiled 1132 to 265 computations (76.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.1b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `prod-exp_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `associate-l_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

2 → 66

Calls

2 calls:

13.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
7.0ms	(*.f64 x (-.f64 y z))

series18.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
8.0ms	(*.f64 x (-.f64 y z))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	6072	836

prune34.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	72	7	79

Merged error: 0b

Counts

79 → 7

Compiler

Compiled 901 to 301 computations (66.6% saved)

regimes204.0ms (7.3%)

Compiler: Compiled 336 to 242 computations (28% saved)

bsearch0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	58	87
1	58	87

end0.0ms (0%)

sample920.0ms (32.8%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	80	valid
17.0ms	733×	body	80	invalid

Compiler

Compiled 174 to 105 computations (39.7% saved)

Details

analyze527.0ms (18.8%)

sample17.0ms (0.6%)

simplify419.0ms (14.9%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series19.0ms (0.7%)

simplify86.0ms (3.1%)

prune44.0ms (1.6%)

localize5.0ms (0.2%)

rewrite24.0ms (0.9%)

series17.0ms (0.6%)

simplify85.0ms (3%)

prune74.0ms (2.7%)

localize5.0ms (0.2%)

rewrite20.0ms (0.7%)

series16.0ms (0.6%)

simplify82.0ms (2.9%)

prune41.0ms (1.4%)

localize6.0ms (0.2%)

rewrite22.0ms (0.8%)

series18.0ms (0.7%)

simplify88.0ms (3.1%)

prune34.0ms (1.2%)

regimes204.0ms (7.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample920.0ms (32.8%)

Profiling