Details

analyze728.0ms (13.4%)

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)

sample20.0ms (0.4%)

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)

simplify335.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (329.0ms)

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

10.6b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (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))
9.9b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite152.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

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:

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 1311 to 312 computations (76.2% saved)

series651.0ms (12%)

Error

1.7b

Counts

3 → 51

Calls

3 calls:

297.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
185.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
147.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 867 to 627 computations (27.7% saved)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5018	1554

prune104.0ms (1.9%)

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

Counts

130 → 5

Compiler

Compiled 1135 to 298 computations (73.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
3.6b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite120.0ms (2.2%)

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 1119 to 537 computations (52% saved)

series514.0ms (9.4%)

Error

Counts

2 → 30

Calls

2 calls:

284.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
208.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 560 to 408 computations (27.1% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune89.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 893 to 440 computations (50.7% saved)

localize6.0ms (0.1%)

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)))
4.2b	(*.f64 x (/.f64 (-.f64 1 y) z))

rewrite143.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`add-sqr-sqrt_binary64_21583`
46×	`*-un-lft-identity_binary64_21561`
37×	`times-frac_binary64_21567`
25×	`add-cube-cbrt_binary64_21596`
22×	`associate-r_binary64_21501`
14×	`difference-of-squares_binary64_21530`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
7×	`distribute-lft-out--_binary64_21513`
6×	`associate-/l*_binary64_21506`
5×	`pow1_binary64_21622` `add-log-exp_binary64_21600`
3×	`associate-l_binary64_21502` `associate-/r*_binary64_21505`
2×	`div-exp_binary64_21612` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `cbrt-undiv_binary64_21595` `unswap-sqr_binary64_21529` `div-inv_binary64_21558` `associate-/l/_binary64_21508`
1×	`pow-prod-down_binary64_21632` `associate-r/_binary64_21503` `-commutative_binary64_21492` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `frac-2neg_binary64_21572` `div-sub_binary64_21566` `clear-num_binary64_21560` `flip3--_binary64_21565` `flip--_binary64_21536`

Counts

3 → 94

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
7.0ms	(/.f64 (-.f64 1 y) z)
3.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))

Compiler

Compiled 1500 to 889 computations (40.7% saved)

series618.0ms (11.3%)

Error

Counts

3 → 39

Calls

3 calls:

283.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
209.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
106.0ms	(/.f64 (-.f64 1 y) z)

Compiler

Compiled 756 to 562 computations (25.7% saved)

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4950	1687
1	4950	1687

prune110.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Error

Counts

136 → 3

Compiler

Compiled 1265 to 729 computations (42.4% saved)

regimes954.0ms (17.5%)

Accuracy

Total 0.0b remaining (79%)

Threshold costs 0.0b (79%)

Compiler

Compiled 8325 to 5692 computations (31.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	16
1	43	16

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample682.0ms (12.5%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
35.0ms	1078×	body	128	invalid

Compiler

Compiled 62 to 61 computations (1.6% saved)

Details

analyze728.0ms (13.4%)

sample20.0ms (0.4%)

simplify335.0ms (6.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite152.0ms (2.8%)

series651.0ms (12%)

simplify59.0ms (1.1%)

prune104.0ms (1.9%)

localize6.0ms (0.1%)

rewrite120.0ms (2.2%)

series514.0ms (9.4%)

simplify57.0ms (1%)

prune89.0ms (1.6%)

localize6.0ms (0.1%)

rewrite143.0ms (2.6%)

series618.0ms (11.3%)

simplify82.0ms (1.5%)

prune110.0ms (2%)

regimes954.0ms (17.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample682.0ms (12.5%)

Profiling