Details

analyze658.0ms (18.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4890	52
1	4890	52
0	3	3
1	3	3

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	36×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify371.0ms (10.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (365.0ms)

Iter	Nodes	Cost
0	5659	13

prune3.0ms (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

9.2b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
8.6b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_16809`
19×	`*-un-lft-identity_binary64_16787`
17×	`add-cube-cbrt_binary64_16822`
12×	`cancel-sign-sub-inv_binary64_16753`
9×	`times-frac_binary64_16793`
8×	`associate-+r+_binary64_16719` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
7×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`associate-r_binary64_16727` `add-log-exp_binary64_16826` `pow1_binary64_16848`
4×	`sub-neg_binary64_16780`
3×	`associate-/l_binary64_16732` `associate-l_binary64_16728` `associate-/r_binary64_16731`
2×	`associate-*r/_binary64_16729` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `flip3-+_binary64_16790`
1×	`cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `difference-of-squares_binary64_16756` `prod-exp_binary64_16836` `div-exp_binary64_16838` `clear-num_binary64_16786` `*-commutative_binary64_16718` `flip3--_binary64_16791` `distribute-lft-out--_binary64_16739` `unswap-sqr_binary64_16755` `+-commutative_binary64_16717` `flip--_binary64_16762` `frac-2neg_binary64_16798` `div-inv_binary64_16784` `pow-prod-down_binary64_16858`

Counts

3 → 78

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series114.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
36.0ms	(*.f64 y (-.f64 z x))
31.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5030	1239

prune71.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Error

1.8b

Counts

88 → 6

Compiler

Compiled 1417 to 331 computations (76.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
1.8b	(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_16809`
21×	`*-un-lft-identity_binary64_16787`
19×	`times-frac_binary64_16793` `add-cube-cbrt_binary64_16822`
16×	`cancel-sign-sub-inv_binary64_16753`
7×	`add-log-exp_binary64_16826`
5×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`associate-/l_binary64_16732` `pow1_binary64_16848` `flip3--_binary64_16791` `associate-/r_binary64_16731` `flip--_binary64_16762`
2×	`diff-log_binary64_16879` `div-sub_binary64_16792` `sub-neg_binary64_16780` `difference-of-squares_binary64_16756` `associate-/l/_binary64_16734` `div-inv_binary64_16784`
1×	`cbrt-undiv_binary64_16821` `div-exp_binary64_16838` `clear-num_binary64_16786` `distribute-lft-out--_binary64_16739` `associate--r-_binary64_16726` `frac-2neg_binary64_16798`

Counts

3 → 72

Calls

3 calls:

13.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
6.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)
4.0ms	(-.f64 (*.f64 x y) x)

series92.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)
30.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
25.0ms	(-.f64 (*.f64 x y) x)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4966	1272
1	4966	1272

prune51.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Error

1.8b

Counts

87 → 6

Compiler

Compiled 1279 to 286 computations (77.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y))
8.6b	(/.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y)) z)

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
9×	`add-log-exp_binary64_16826` `times-frac_binary64_16793`
6×	`cbrt-prod_binary64_16818` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
4×	`pow1_binary64_16848` `distribute-lft-neg-out_binary64_16746`
3×	`associate-/l_binary64_16732` `sum-log_binary64_16878` `associate-/r_binary64_16731`
2×	`associate-/l/_binary64_16734` `flip-+_binary64_16761` `pow1/3_binary64_16869` `unsub-neg_binary64_16781` `flip3-+_binary64_16790`
1×	`div-sub_binary64_16792` `cbrt-undiv_binary64_16821` `associate-+l+_binary64_16720` `div-exp_binary64_16838` `clear-num_binary64_16786` `+-commutative_binary64_16717` `frac-2neg_binary64_16798` `div-inv_binary64_16784`

Counts

4 → 66

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y)) z)
8.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series295.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 x)
82.0ms	(cbrt.f64 x)
79.0ms	(/.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y)) z)
45.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) y))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5515	1103

prune58.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Error

1.8b

Counts

84 → 6

Compiler

Compiled 1642 to 366 computations (77.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.2b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
8.6b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_16793`
66×	`add-sqr-sqrt_binary64_16809`
64×	`*-un-lft-identity_binary64_16787`
62×	`add-cube-cbrt_binary64_16822`
19×	`add-exp-log_binary64_16825`
18×	`associate-/r*_binary64_16731`
13×	`add-cbrt-cube_binary64_16823`
12×	`cancel-sign-sub-inv_binary64_16753`
11×	`associate-/r/_binary64_16733`
8×	`div-exp_binary64_16838` `associate-+r+_binary64_16719` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
7×	`pow1_binary64_16848`
6×	`add-log-exp_binary64_16826` `associate-/l*_binary64_16732` `flip-+_binary64_16761` `div-inv_binary64_16784` `flip3-+_binary64_16790`
5×	`associate-r_binary64_16727`
4×	`cbrt-undiv_binary64_16821` `sub-neg_binary64_16780`
3×	`associate-l_binary64_16728`
2×	`rec-exp_binary64_16837` `1-exp_binary64_16831` `clear-num_binary64_16786` `associate-*r/_binary64_16729` `frac-2neg_binary64_16798`
1×	`cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `difference-of-squares_binary64_16756` `prod-exp_binary64_16836` `*-commutative_binary64_16718` `flip3--_binary64_16791` `distribute-lft-out--_binary64_16739` `pow-flip_binary64_16861` `unswap-sqr_binary64_16755` `+-commutative_binary64_16717` `inv-pow_binary64_16872` `flip--_binary64_16762` `pow-prod-down_binary64_16858`

Counts

4 → 162

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
5.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series200.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
48.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
32.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
30.0ms	(*.f64 y (-.f64 z x))

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5138	3563

prune121.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	175	5	180

Error

0.0b

Counts

180 → 5

Compiler

Compiled 3320 to 787 computations (76.3% saved)

regimes188.0ms (5.3%)

Accuracy

Total 0.0b remaining (82.1%)

Threshold costs 0.0b (82.1%)

Compiler

Compiled 1930 to 1117 computations (42.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample901.0ms (25.1%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
36.0ms	1060×	body	128	invalid

Compiler

Compiled 480 to 282 computations (41.3% saved)

Details

analyze658.0ms (18.4%)

sample19.0ms (0.5%)

simplify371.0ms (10.3%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite23.0ms (0.6%)

series114.0ms (3.2%)

simplify75.0ms (2.1%)

prune71.0ms (2%)

localize7.0ms (0.2%)

rewrite29.0ms (0.8%)

series92.0ms (2.6%)

simplify62.0ms (1.7%)

prune51.0ms (1.4%)

localize12.0ms (0.3%)

rewrite28.0ms (0.8%)

series295.0ms (8.2%)

simplify70.0ms (1.9%)

prune58.0ms (1.6%)

localize7.0ms (0.2%)

rewrite42.0ms (1.2%)

series200.0ms (5.6%)

simplify83.0ms (2.3%)

prune121.0ms (3.4%)

regimes188.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample901.0ms (25.1%)

Profiling