Details

analyze983.0ms (25.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample43.0ms (1.1%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	80	valid
3.0ms	40×	body	80	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify236.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (209.0ms)

Iter	Nodes	Cost
0	4954	16
1	4954	16

prune6.0ms (0.2%)

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: 10.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
10.4b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series57.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
18.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(*.f64 y (-.f64 z t))

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5410	1033

prune67.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

Compiler

Compiled 1242 to 336 computations (72.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.1b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite63.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
15.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series68.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
29.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify112.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5340	5186

prune151.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	216	5	221

Merged error: 0b

Counts

221 → 5

Compiler

Compiled 4540 to 760 computations (83.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
0.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_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` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series58.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4996	2068
1	4996	2068

prune62.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 2261 to 462 computations (79.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
11.8b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 98

Calls

3 calls:

13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
8.0ms	(/.f64 y (-.f64 z a))
5.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

series66.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
25.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
8.0ms	(/.f64 y (-.f64 z a))

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5124	1653

prune55.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 1867 to 417 computations (77.7% saved)

regimes249.0ms (6.4%)

Compiler: Compiled 310 to 325 computations (-4.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample1.3s (32.7%)

Algorithm

1×

intervals

Results

325.0ms	8000×	body	80	valid
34.0ms	753×	body	80	invalid

Compiler

Compiled 94 to 91 computations (3.2% saved)

Details

analyze983.0ms (25.2%)

sample43.0ms (1.1%)

simplify236.0ms (6.1%)

prune6.0ms (0.2%)

localize8.0ms (0.2%)

rewrite27.0ms (0.7%)

series57.0ms (1.5%)

simplify74.0ms (1.9%)

prune67.0ms (1.7%)

localize8.0ms (0.2%)

rewrite63.0ms (1.6%)

series68.0ms (1.7%)

simplify112.0ms (2.9%)

prune151.0ms (3.9%)

localize8.0ms (0.2%)

rewrite31.0ms (0.8%)

series58.0ms (1.5%)

simplify73.0ms (1.9%)

prune62.0ms (1.6%)

localize8.0ms (0.2%)

rewrite29.0ms (0.7%)

series66.0ms (1.7%)

simplify74.0ms (1.9%)

prune55.0ms (1.4%)

regimes249.0ms (6.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (32.7%)

Profiling