Details

analyze678.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3819	52
1	3819	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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify178.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (173.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune3.0ms (0%)

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

4.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.8b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite95.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

55×	`add-sqr-sqrt_binary64_13058`
53×	`*-un-lft-identity_binary64_13036`
42×	`times-frac_binary64_13042`
20×	`difference-of-squares_binary64_13005`
15×	`add-cube-cbrt_binary64_13071`
9×	`distribute-lft-out_binary64_12987`
8×	`associate-/r*_binary64_12980`
5×	`distribute-lft-out--_binary64_12988`
4×	`associate-/l*_binary64_12981`
3×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
2×	`associate-/l/_binary64_12983` `associate-/r/_binary64_12982`
1×	`pow1_binary64_13097` `div-exp_binary64_13087` `add-log-exp_binary64_13075` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `flip3-+_binary64_13039` `flip-+_binary64_13010` `flip3--_binary64_13040` `flip--_binary64_13011`

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 1216 to 500 computations (58.9% saved)

series281.0ms (3.9%)

Error

0.0b

Counts

1 → 20

Calls

1 calls:

259.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 764 to 528 computations (30.9% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5124	1720

prune81.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

Counts

81 → 4

Compiler

Compiled 1367 to 540 computations (60.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (/.f64 y z) (/.f64 y z))
6.2b	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
9.9b	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite260.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`*-un-lft-identity_binary64_13036`
81×	`times-frac_binary64_13042`
79×	`add-sqr-sqrt_binary64_13058`
53×	`add-cube-cbrt_binary64_13071`
39×	`associate-l_binary64_12977`
22×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
18×	`difference-of-squares_binary64_13005`
17×	`associate-r_binary64_12976`
13×	`swap-sqr_binary64_13003`
12×	`pow1_binary64_13097` `distribute-lft-out_binary64_12987`
6×	`div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `cbrt-undiv_binary64_13070` `unswap-sqr_binary64_13004` `div-inv_binary64_13033`
5×	`associate-/r*_binary64_12980`
4×	`associate-/r/_binary64_12982` `associate-/l*_binary64_12981`
3×	`add-log-exp_binary64_13075` `flip3-+_binary64_13039` `frac-times_binary64_13046` `flip-+_binary64_13010` `associate-*r/_binary64_12978`
2×	`pow-prod-down_binary64_13107` `associate-l/_binary64_12979` `flip3--_binary64_13040` `flip--_binary64_13011` `-commutative_binary64_12967` `associate-/l/_binary64_12983`
1×	`distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `pow2_binary64_13117` `pow-prod-up_binary64_13106` `pow-plus_binary64_13099` `pow-sqr_binary64_13009`

Counts

3 → 164

Calls

3 calls:

21.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
11.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
8.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))

Compiler

Compiled 5007 to 1787 computations (64.3% saved)

series921.0ms (12.8%)

Error

Counts

3 → 42

Calls

3 calls:

459.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
298.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
117.0ms	(*.f64 (/.f64 y z) (/.f64 y z))

Compiler

Compiled 2406 to 1786 computations (25.8% saved)

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4997	4351
1	4997	4351

prune247.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	206	4	210

Error

Counts

210 → 4

Compiler

Compiled 5066 to 2154 computations (57.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 x z)))
1.4b	(*.f64 (/.f64 z y) (+.f64 x z))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_13058`
13×	`associate-l_binary64_12977`
12×	`*-un-lft-identity_binary64_13036`
10×	`add-cube-cbrt_binary64_13071` `times-frac_binary64_13042`
7×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
6×	`add-log-exp_binary64_13075`
4×	`pow1_binary64_13097` `associate-r_binary64_12976`
2×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `flip3-+_binary64_13039` `frac-times_binary64_13046` `flip-+_binary64_13010` `unswap-sqr_binary64_13004` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `associate-*r/_binary64_12978` `diff-log_binary64_13128` `associate--r+_binary64_12972`
1×	`pow-prod-down_binary64_13107` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `associate-l/_binary64_12979` `div-inv_binary64_13033` `distribute-lft-out_binary64_12987` `-commutative_binary64_12967` `neg-log_binary64_13129` `flip3--_binary64_13040` `sub-neg_binary64_13029` `flip--_binary64_13011` `cancel-sign-sub-inv_binary64_13002` `neg-sub0_binary64_13031` `associate--l-_binary64_12974`

Counts

2 → 55

Calls

2 calls:

9.0ms	(*.f64 (/.f64 z y) (+.f64 x z))
6.0ms	(-.f64 (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 x z)))

Compiler

Compiled 995 to 246 computations (75.3% saved)

series527.0ms (7.3%)

Error

Counts

2 → 33

Calls

2 calls:

292.0ms	(-.f64 (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 x z)))
212.0ms	(*.f64 (/.f64 z y) (+.f64 x z))

Compiler

Compiled 954 to 652 computations (31.7% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5496	1194

prune63.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Error

Counts

92 → 4

Compiler

Compiled 1194 to 234 computations (80.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (/.f64 z (/.f64 y z)))
0.1b	(/.f64 z (/.f64 y z))
1.5b	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))

rewrite215.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

94×	`times-frac_binary64_13042`
69×	`*-un-lft-identity_binary64_13036`
68×	`add-sqr-sqrt_binary64_13058`
61×	`add-cube-cbrt_binary64_13071`
26×	`cancel-sign-sub-inv_binary64_13002`
14×	`distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`
13×	`associate-/r*_binary64_12980`
10×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
7×	`div-inv_binary64_13033`
6×	`associate-l_binary64_12977` `associate-r_binary64_12976`
5×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `associate-/r/_binary64_12982`
4×	`flip3-+_binary64_13039` `frac-times_binary64_13046` `flip-+_binary64_13010`
3×	`flip3--_binary64_13040` `flip--_binary64_13011` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `associate-/l*_binary64_12981`
2×	`sub-neg_binary64_13029` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `distribute-rgt1-in_binary64_12992` `distribute-rgt-out_binary64_12989` `distribute-lft-out_binary64_12987` `difference-of-squares_binary64_13005`
1×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `distribute-lft-out--_binary64_12988` `*-commutative_binary64_12967` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 144

Calls

3 calls:

26.0ms	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))
13.0ms	(+.f64 z (/.f64 z (/.f64 y z)))
6.0ms	(/.f64 z (/.f64 y z))

Compiler

Compiled 3538 to 1101 computations (68.9% saved)

series692.0ms (9.6%)

Error

Counts

3 → 39

Calls

3 calls:

451.0ms	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))
112.0ms	(+.f64 z (/.f64 z (/.f64 y z)))
97.0ms	(/.f64 z (/.f64 y z))

Compiler

Compiled 1498 to 1076 computations (28.2% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5113	3523

prune149.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	183	4	187

Error

Counts

187 → 4

Compiler

Compiled 3512 to 965 computations (72.5% saved)

regimes742.0ms (10.3%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 5118 to 3608 computations (29.5% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	70
1	59	70

end0.0ms (0%)

sample1.6s (22.5%)

Algorithm

1×

intervals

Results

261.0ms

8000×

body

128

valid

Compiler

Compiled 1336 to 934 computations (30.1% saved)

Details

analyze678.0ms (9.4%)

sample18.0ms (0.2%)

simplify178.0ms (2.5%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite95.0ms (1.3%)

series281.0ms (3.9%)

simplify69.0ms (1%)

prune81.0ms (1.1%)

localize10.0ms (0.1%)

rewrite260.0ms (3.6%)

series921.0ms (12.8%)

simplify112.0ms (1.6%)

prune247.0ms (3.4%)

localize8.0ms (0.1%)

rewrite67.0ms (0.9%)

series527.0ms (7.3%)

simplify60.0ms (0.8%)

prune63.0ms (0.9%)

localize9.0ms (0.1%)

rewrite215.0ms (3%)

series692.0ms (9.6%)

simplify83.0ms (1.2%)

prune149.0ms (2.1%)

regimes742.0ms (10.3%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (22.5%)

Profiling