Details

analyze1.1s (18.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify225.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5059	19

prune8.0ms (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

1.0b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b	(/.f64 (.f64 y t) (.f64 2 z))
6.4b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_7921` `add-sqr-sqrt_binary64_7943`
16×	`add-cbrt-cube_binary64_7957` `times-frac_binary64_7927` `add-exp-log_binary64_7959`
12×	`add-cube-cbrt_binary64_7956`
6×	`associate-/r*_binary64_7865`
5×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
4×	`distribute-lft-out--_binary64_7873` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `difference-of-squares_binary64_7890` `associate-/l*_binary64_7866`
2×	`add-log-exp_binary64_7960` `clear-num_binary64_7920` `frac-2neg_binary64_7932` `associate-/r/_binary64_7867` `pow1_binary64_7982` `div-inv_binary64_7918`
1×	`flip3--_binary64_7925` `flip--_binary64_7896`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series210.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

173.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
37.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5009	1242

prune68.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Error

0.2b

Counts

66 → 3

Compiler

Compiled 1298 to 673 computations (48.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

6.4b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
7.0b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_7943`
31×	`times-frac_binary64_7927`
24×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
16×	`add-cbrt-cube_binary64_7957` `add-exp-log_binary64_7959`
13×	`associate-r_binary64_7861` `associate-l_binary64_7862`
5×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
4×	`unswap-sqr_binary64_7889` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `pow1_binary64_7982`
3×	`associate-/l_binary64_7866` `associate-/r_binary64_7865` `div-inv_binary64_7918`
2×	`add-log-exp_binary64_7960` `associate-/r/_binary64_7867`
1×	`flip3--_binary64_7925` `frac-times_binary64_7931` `clear-num_binary64_7920` `frac-2neg_binary64_7932` `associate-r/_binary64_7863` `associate-l/_binary64_7864` `*-commutative_binary64_7852` `flip--_binary64_7896` `pow-prod-down_binary64_7992`

Counts

2 → 79

Calls

2 calls:

11.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))

series154.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

124.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
30.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	1462
1	4991	1462

prune118.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Error

0.2b

Counts

88 → 4

Compiler

Compiled 1732 to 885 computations (48.9% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 y (sqrt.f64 2))
1.0b	(/.f64 1 (sqrt.f64 2))
6.4b	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
7.1b	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))

rewrite81.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary64_7943`
79×	`times-frac_binary64_7927`
62×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
35×	`sqrt-prod_binary64_7937`
24×	`add-exp-log_binary64_7959`
22×	`associate-r_binary64_7861` `add-cbrt-cube_binary64_7957`
15×	`associate-/r*_binary64_7865`
13×	`associate-l_binary64_7862`
9×	`associate-/l*_binary64_7866`
8×	`div-exp_binary64_7972` `pow1_binary64_7982`
7×	`cbrt-undiv_binary64_7955`
6×	`unswap-sqr_binary64_7889`
5×	`div-inv_binary64_7918`
4×	`add-log-exp_binary64_7960` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
3×	`clear-num_binary64_7920` `frac-2neg_binary64_7932` `pow-flip_binary64_7995`
2×	`associate-/r/_binary64_7867`
1×	`flip3--_binary64_7925` `inv-pow_binary64_8006` `frac-times_binary64_7931` `associate-r/_binary64_7863` `sqrt-pow1_binary64_7939` `rec-exp_binary64_7971` `associate-l/_binary64_7864` `pow1/2_binary64_8001` `*-commutative_binary64_7852` `1-exp_binary64_7965` `flip--_binary64_7896` `pow-prod-down_binary64_7992`

Counts

4 → 174

Calls

4 calls:

23.0ms	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))
11.0ms	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
9.0ms	(/.f64 1 (sqrt.f64 2))
8.0ms	(/.f64 y (sqrt.f64 2))

series625.0ms (10.8%)

Counts

4 → 10

Calls

4 calls:

463.0ms	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
92.0ms	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))
70.0ms	(/.f64 y (sqrt.f64 2))
0.0ms	(/.f64 1 (sqrt.f64 2))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5056	2784

prune331.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	184	4	188

Error

0.2b

Counts

188 → 4

Compiler

Compiled 4509 to 2822 computations (37.4% saved)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.7b	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y))
4.8b	(/.f64 (.f64 y t) (.f64 z 2))
6.4b	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y)

rewrite80.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

133×	`times-frac_binary64_7927`
101×	`*-un-lft-identity_binary64_7921` `add-sqr-sqrt_binary64_7943`
69×	`add-cube-cbrt_binary64_7956`
28×	`add-exp-log_binary64_7959`
23×	`associate-/r*_binary64_7865`
22×	`add-cbrt-cube_binary64_7957`
16×	`distribute-lft-out--_binary64_7873` `difference-of-squares_binary64_7890`
12×	`div-exp_binary64_7972`
9×	`associate-/l*_binary64_7866`
8×	`cbrt-undiv_binary64_7955`
7×	`div-inv_binary64_7918`
4×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `pow1_binary64_7982`
3×	`add-log-exp_binary64_7960` `clear-num_binary64_7920` `frac-2neg_binary64_7932`
2×	`rec-exp_binary64_7971` `associate-/l/_binary64_7868` `1-exp_binary64_7965`
1×	`div-sub_binary64_7926` `flip3--_binary64_7925` `inv-pow_binary64_8006` `pow-flip_binary64_7995` `associate-/r/_binary64_7867` `flip--_binary64_7896`

Counts

3 → 159

Calls

3 calls:

20.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y))
16.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y)
11.0ms	(/.f64 (.f64 y t) (.f64 z 2))

series478.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

366.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y))
68.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))) y)
43.0ms	(/.f64 (.f64 y t) (.f64 z 2))

simplify129.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4977	4264
1	4977	4264

prune234.0ms (4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	168	4	172

Error

Counts

172 → 4

Compiler

Compiled 3948 to 2119 computations (46.3% saved)

regimes346.0ms (6%)

Accuracy

Total 0.1b remaining (92.5%)

Threshold costs 0.1b (92.5%)

Compiler

Compiled 2396 to 1896 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	19
1	58	19

end0.0ms (0%)

sample1.3s (22.7%)

Algorithm

1×

intervals

Results

515.0ms

8000×

body

128

valid

Compiler

Compiled 423 to 337 computations (20.3% saved)

Details

analyze1.1s (18.1%)

sample31.0ms (0.5%)

simplify225.0ms (3.9%)

prune8.0ms (0.1%)

localize13.0ms (0.2%)

rewrite17.0ms (0.3%)

series210.0ms (3.6%)

simplify54.0ms (0.9%)

prune68.0ms (1.2%)

localize9.0ms (0.2%)

rewrite23.0ms (0.4%)

series154.0ms (2.7%)

simplify61.0ms (1%)

prune118.0ms (2%)

localize22.0ms (0.4%)

rewrite81.0ms (1.4%)

series625.0ms (10.8%)

simplify92.0ms (1.6%)

prune331.0ms (5.7%)

localize21.0ms (0.4%)

rewrite80.0ms (1.4%)

series478.0ms (8.2%)

simplify129.0ms (2.2%)

prune234.0ms (4%)

regimes346.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (22.7%)

Profiling