Details

analyze661.0ms (11%)

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)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	37×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify349.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (343.0ms)

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

11.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
11.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite94.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

11.8b

Rules

21×	`add-sqr-sqrt_binary64_21583`
19×	`*-un-lft-identity_binary64_21561`
17×	`add-cube-cbrt_binary64_21596`
12×	`cancel-sign-sub-inv_binary64_21527`
9×	`times-frac_binary64_21567`
8×	`distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493`
7×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
5×	`pow1_binary64_21622` `add-log-exp_binary64_21600` `associate-r_binary64_21501`
4×	`sub-neg_binary64_21554`
3×	`associate-/l_binary64_21506` `associate-/r_binary64_21505` `associate-l_binary64_21502`
2×	`flip3-+_binary64_21564` `associate-/l/_binary64_21508` `flip-+_binary64_21535` `associate-*r/_binary64_21503`
1×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `flip3--_binary64_21565` `flip--_binary64_21536` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `*-commutative_binary64_21492` `sum-log_binary64_21652` `+-commutative_binary64_21491`

Counts

3 → 78

Calls

3 calls:

11.0ms	(*.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)

series431.0ms (7.2%)

Error

2.4b

Counts

3 → 51

Calls

3 calls:

202.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
120.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
86.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1173 to 639 computations (45.5% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5018	1554

prune81.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 1697 to 369 computations (78.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
3.2b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_21583`
17×	`*-un-lft-identity_binary64_21561`
14×	`add-cube-cbrt_binary64_21596`
13×	`associate-l_binary64_21502`
12×	`cancel-sign-sub-inv_binary64_21527`
10×	`times-frac_binary64_21567`
8×	`distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493`
7×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
6×	`associate-r_binary64_21501`
4×	`pow1_binary64_21622` `add-log-exp_binary64_21600` `sub-neg_binary64_21554`
2×	`prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `flip3--_binary64_21565` `frac-times_binary64_21571` `flip--_binary64_21536` `unswap-sqr_binary64_21529` `associate-*r/_binary64_21503` `difference-of-squares_binary64_21530`
1×	`pow-prod-down_binary64_21632` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `associate-l/_binary64_21504` `div-inv_binary64_21558` `distribute-lft-out--_binary64_21513` `-commutative_binary64_21492` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`

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)

series322.0ms (5.3%)

Error

Counts

2 → 30

Calls

2 calls:

177.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
130.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 708 to 426 computations (39.8% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune70.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 1320 to 629 computations (52.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (-.f64 1 y) (cbrt.f64 (/.f64 x z))))
7.8b	(cbrt.f64 (/.f64 x z))
7.8b	(cbrt.f64 (/.f64 x z))
7.8b	(cbrt.f64 (/.f64 x z))

rewrite150.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-div_binary64_21593` `cbrt-prod_binary64_21592`
29×	`frac-times_binary64_21571`
27×	`times-frac_binary64_21567`
25×	`add-cube-cbrt_binary64_21596` `add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561`
17×	`associate-*l/_binary64_21504`
16×	`pow1_binary64_21622` `add-exp-log_binary64_21599`
15×	`associate-*r/_binary64_21503`
10×	`add-cbrt-cube_binary64_21597`
8×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `flip3--_binary64_21565` `flip--_binary64_21536`
4×	`add-log-exp_binary64_21600`
3×	`pow1/3_binary64_21643` `div-inv_binary64_21558`
1×	`associate-l_binary64_21502` `associate-r_binary64_21501` `*-commutative_binary64_21492`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (-.f64 1 y) (cbrt.f64 (/.f64 x z))))
5.0ms	(cbrt.f64 (/.f64 x z))
2.0ms	(cbrt.f64 (/.f64 x z))
2.0ms	(cbrt.f64 (/.f64 x z))

Compiler

Compiled 3130 to 1015 computations (67.6% saved)

series794.0ms (13.2%)

Error

Counts

4 → 30

Calls

4 calls:

197.0ms	(cbrt.f64 (/.f64 x z))
196.0ms	(cbrt.f64 (/.f64 x z))
194.0ms	(cbrt.f64 (/.f64 x z))
179.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (-.f64 1 y) (cbrt.f64 (/.f64 x z))))

Compiler

Compiled 1840 to 1249 computations (32.1% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5027	2215

prune122.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	141	6	147

Error

Counts

147 → 6

Compiler

Compiled 3218 to 1163 computations (63.9% saved)

localize10.0ms (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)))))
11.1b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite171.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_21567`
66×	`add-sqr-sqrt_binary64_21583`
64×	`*-un-lft-identity_binary64_21561`
62×	`add-cube-cbrt_binary64_21596`
19×	`add-exp-log_binary64_21599`
18×	`associate-/r*_binary64_21505`
13×	`add-cbrt-cube_binary64_21597`
12×	`cancel-sign-sub-inv_binary64_21527`
11×	`associate-/r/_binary64_21507`
8×	`div-exp_binary64_21612` `distribute-rgt-in_binary64_21511` `associate-+r+_binary64_21493` `distribute-lft-in_binary64_21510`
7×	`pow1_binary64_21622`
6×	`add-log-exp_binary64_21600` `div-inv_binary64_21558` `flip3-+_binary64_21564` `flip-+_binary64_21535` `associate-/l*_binary64_21506`
5×	`associate-r_binary64_21501`
4×	`cbrt-undiv_binary64_21595` `sub-neg_binary64_21554`
3×	`associate-l_binary64_21502`
2×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `1-exp_binary64_21605` `rec-exp_binary64_21611` `associate-*r/_binary64_21503`
1×	`inv-pow_binary64_21646` `pow-flip_binary64_21635` `sum-log_binary64_21652` `+-commutative_binary64_21491` `pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `flip3--_binary64_21565` `flip--_binary64_21536` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `*-commutative_binary64_21492`

Counts

4 → 162

Calls

4 calls:

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

Compiler

Compiled 3649 to 1052 computations (71.2% saved)

series729.0ms (12.1%)

Error

Counts

4 → 76

Calls

4 calls:

259.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
197.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
122.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
96.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 3233 to 2141 computations (33.8% saved)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4967	4764
1	4967	4764

prune161.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	238	6	244

Error

Counts

244 → 6

Compiler

Compiled 4315 to 1091 computations (74.7% saved)

regimes300.0ms (5%)

Accuracy

Total 0.0b remaining (93.4%)

Threshold costs 0.0b (93.4%)

Compiler

Compiled 3250 to 1874 computations (42.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.2s (19.5%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	128	valid
36.0ms	1101×	body	128	invalid

Compiler

Compiled 809 to 475 computations (41.3% saved)

Details

analyze661.0ms (11%)

sample20.0ms (0.3%)

simplify349.0ms (5.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite94.0ms (1.6%)

series431.0ms (7.2%)

simplify58.0ms (1%)

prune81.0ms (1.3%)

localize6.0ms (0.1%)

rewrite73.0ms (1.2%)

series322.0ms (5.3%)

simplify56.0ms (0.9%)

prune70.0ms (1.2%)

localize10.0ms (0.2%)

rewrite150.0ms (2.5%)

series794.0ms (13.2%)

simplify67.0ms (1.1%)

prune122.0ms (2%)

localize10.0ms (0.2%)

rewrite171.0ms (2.8%)

series729.0ms (12.1%)

simplify111.0ms (1.8%)

prune161.0ms (2.7%)

regimes300.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (19.5%)

Profiling