Details

analyze682.0ms (2.9%)

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)

sample527.0ms (2.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
4.0ms	68×	body	128	invalid

Compiler

Compiled 3259 to 3582 computations (-9.9% saved)

simplify337.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (332.0ms)

Iter	Nodes	Cost
0	5659	13

prune2.0ms (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

12.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
11.6b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite93.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

Rules

21×	`add-sqr-sqrt_binary64_18514`
19×	`*-un-lft-identity_binary64_18492`
17×	`add-cube-cbrt_binary64_18527`
12×	`cancel-sign-sub-inv_binary64_18458`
9×	`times-frac_binary64_18498`
8×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441` `associate-+r+_binary64_18424`
7×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `associate-r_binary64_18432`
4×	`sub-neg_binary64_18485`
3×	`associate-/l_binary64_18437` `associate-/r_binary64_18436` `associate-l_binary64_18433`
2×	`flip3-+_binary64_18495` `associate-/l/_binary64_18439` `flip-+_binary64_18466` `associate-*r/_binary64_18434`
1×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460` `flip3--_binary64_18496` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444` `*-commutative_binary64_18423` `sum-log_binary64_18583` `+-commutative_binary64_18422`

Counts

3 → 78

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 1355 to 327 computations (75.9% saved)

series645.0ms (2.8%)

Error

3.1b

Counts

3 → 51

Calls

3 calls:

279.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
189.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
146.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1173 to 639 computations (45.5% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5018	1554

prune94.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 1669 to 359 computations (78.5% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
2.7b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite91.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_18514`
17×	`*-un-lft-identity_binary64_18492`
14×	`add-cube-cbrt_binary64_18527`
13×	`associate-l_binary64_18433`
12×	`cancel-sign-sub-inv_binary64_18458`
10×	`times-frac_binary64_18498`
8×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441` `associate-+r+_binary64_18424`
7×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
6×	`associate-r_binary64_18432`
4×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `sub-neg_binary64_18485`
2×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `flip3--_binary64_18496` `frac-times_binary64_18502` `flip--_binary64_18467` `unswap-sqr_binary64_18460` `associate-*r/_binary64_18434` `difference-of-squares_binary64_18461`
1×	`pow-prod-down_binary64_18563` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-l/_binary64_18435` `div-inv_binary64_18489` `distribute-lft-out--_binary64_18444` `-commutative_binary64_18423` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422`

Counts

2 → 66

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))
4.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))

Compiler

Compiled 1152 to 555 computations (51.8% saved)

series488.0ms (2.1%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

263.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
207.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 708 to 426 computations (39.8% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune83.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1262 to 600 computations (52.5% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 y) z)
0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
4.5b	(*.f64 x (/.f64 (-.f64 1 y) z))

rewrite126.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`add-sqr-sqrt_binary64_18514`
46×	`*-un-lft-identity_binary64_18492`
37×	`times-frac_binary64_18498`
25×	`add-cube-cbrt_binary64_18527`
22×	`associate-r_binary64_18432`
14×	`difference-of-squares_binary64_18461`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
7×	`distribute-lft-out--_binary64_18444`
6×	`associate-/l*_binary64_18437`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531`
3×	`associate-l_binary64_18433` `associate-/r*_binary64_18436`
2×	`div-exp_binary64_18543` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cbrt-undiv_binary64_18526` `unswap-sqr_binary64_18460` `div-inv_binary64_18489` `associate-/l/_binary64_18439`
1×	`pow-prod-down_binary64_18563` `associate-r/_binary64_18434` `-commutative_binary64_18423` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491` `flip3--_binary64_18496` `flip--_binary64_18467`

Counts

3 → 94

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
6.0ms	(/.f64 (-.f64 1 y) z)
4.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))

Compiler

Compiled 1636 to 967 computations (40.9% saved)

series593.0ms (2.6%)

Error

Counts

3 → 39

Calls

3 calls:

265.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
203.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
102.0ms	(/.f64 (-.f64 1 y) z)

Compiler

Compiled 944 to 599 computations (36.5% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4950	1687
1	4950	1687

prune116.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

Counts

137 → 4

Compiler

Compiled 1815 to 1025 computations (43.5% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
0.2b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
11.6b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite188.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_18498`
66×	`add-sqr-sqrt_binary64_18514`
64×	`*-un-lft-identity_binary64_18492`
62×	`add-cube-cbrt_binary64_18527`
19×	`add-exp-log_binary64_18530`
18×	`associate-/r*_binary64_18436`
13×	`add-cbrt-cube_binary64_18528`
12×	`cancel-sign-sub-inv_binary64_18458`
11×	`associate-/r/_binary64_18438`
8×	`div-exp_binary64_18543` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441` `associate-+r+_binary64_18424`
7×	`pow1_binary64_18553`
6×	`add-log-exp_binary64_18531` `div-inv_binary64_18489` `flip3-+_binary64_18495` `flip-+_binary64_18466` `associate-/l*_binary64_18437`
5×	`associate-r_binary64_18432`
4×	`cbrt-undiv_binary64_18526` `sub-neg_binary64_18485`
3×	`associate-l_binary64_18433`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `1-exp_binary64_18536` `rec-exp_binary64_18542` `associate-*r/_binary64_18434`
1×	`inv-pow_binary64_18577` `pow-flip_binary64_18566` `pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460` `flip3--_binary64_18496` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444` `*-commutative_binary64_18423` `sum-log_binary64_18583` `+-commutative_binary64_18422`

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

Compiler

Compiled 3649 to 1052 computations (71.2% saved)

series976.0ms (4.2%)

Error

Counts

4 → 71

Calls

4 calls:

295.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
287.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
183.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
156.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 2843 to 1888 computations (33.6% saved)

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4966	4512
1	4966	4512

prune189.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	233	4	237

Error

Counts

237 → 4

Compiler

Compiled 4136 to 1047 computations (74.7% saved)

regimes339.0ms (1.5%)

Accuracy

Total 0.0b remaining (95.8%)

Threshold costs 0.0b (95.8%)

Compiler

Compiled 3070 to 1938 computations (36.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample17.3s (74.6%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
121.0ms	2112×	body	128	invalid

Compiler

Compiled 101884 to 111723 computations (-9.7% saved)

Details

analyze682.0ms (2.9%)

sample527.0ms (2.3%)

simplify337.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite93.0ms (0.4%)

series645.0ms (2.8%)

simplify56.0ms (0.2%)

prune94.0ms (0.4%)

localize6.0ms (0%)

rewrite91.0ms (0.4%)

series488.0ms (2.1%)

simplify57.0ms (0.2%)

prune83.0ms (0.4%)

localize6.0ms (0%)

rewrite126.0ms (0.5%)

series593.0ms (2.6%)

simplify76.0ms (0.3%)

prune116.0ms (0.5%)

localize7.0ms (0%)

rewrite188.0ms (0.8%)

series976.0ms (4.2%)

simplify105.0ms (0.5%)

prune189.0ms (0.8%)

regimes339.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.3s (74.6%)

Profiling