Details

analyze659.0ms (10.5%)

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
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify138.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	772	13
1	772	13

prune6.0ms (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

Merged error: 5.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
5.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_19878`
12×	`flip3--_binary64_19860` `*-un-lft-identity_binary64_19856` `flip--_binary64_19831`
9×	`add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
8×	`frac-times_binary64_19866` `add-cube-cbrt_binary64_19891` `associate-/r/_binary64_19802`
6×	`cancel-sign-sub-inv_binary64_19822`
5×	`associate-r_binary64_19796` `associate-l_binary64_19797`
4×	`associate-l/_binary64_19799` `pow1_binary64_19917` `distribute-rgt-in_binary64_19806` `associate-r/_binary64_19798` `distribute-lft-in_binary64_19805`
3×	`times-frac_binary64_19862` `associate-/l*_binary64_19801`
2×	`cbrt-undiv_binary64_19890` `sub-neg_binary64_19849` `prod-exp_binary64_19905` `div-exp_binary64_19907` `difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808` `cbrt-unprod_binary64_19889` `add-log-exp_binary64_19895`
1×	`associate-/r_binary64_19800` `unswap-sqr_binary64_19824` `-commutative_binary64_19787` `clear-num_binary64_19855` `pow-prod-down_binary64_19927` `div-inv_binary64_19853` `frac-2neg_binary64_19867`

Counts

2 → 67

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

series457.0ms (7.2%)

Counts

2 → 43

Calls

2 calls:

298.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
158.0ms	(*.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 1272 to 964 computations (24.2% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5233	1936

prune92.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

Compiler

Compiled 1813 to 504 computations (72.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
0.0b	(/.f64 1 (-.f64 y z))
1.6b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64_19878`
71×	`*-un-lft-identity_binary64_19856`
67×	`times-frac_binary64_19862`
41×	`add-cube-cbrt_binary64_19891`
31×	`add-exp-log_binary64_19894`
21×	`associate-r_binary64_19796` `associate-l_binary64_19797`
19×	`add-cbrt-cube_binary64_19892`
14×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
11×	`div-exp_binary64_19907`
10×	`associate-/r*_binary64_19800`
8×	`prod-exp_binary64_19905` `associate-/r/_binary64_19802`
6×	`cbrt-undiv_binary64_19890` `unswap-sqr_binary64_19824` `pow1_binary64_19917` `associate-/l*_binary64_19801`
4×	`flip3--_binary64_19860` `flip--_binary64_19831` `div-inv_binary64_19853` `cbrt-unprod_binary64_19889`
3×	`rec-exp_binary64_19906` `1-exp_binary64_19900` `add-log-exp_binary64_19895`
2×	`clear-num_binary64_19855` `frac-2neg_binary64_19867`
1×	`inv-pow_binary64_19941` `frac-times_binary64_19866` `-commutative_binary64_19787` `associate-l/_binary64_19799` `associate-*r/_binary64_19798` `pow-prod-down_binary64_19927` `pow-flip_binary64_19930`

Counts

3 → 150

Calls

3 calls:

22.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
8.0ms	(/.f64 x (-.f64 t z))
5.0ms	(/.f64 1 (-.f64 y z))

series400.0ms (6.4%)

Counts

3 → 48

Calls

3 calls:

263.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
97.0ms	(/.f64 x (-.f64 t z))
40.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 1459 to 1140 computations (21.9% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4966	3052
1	4966	3052

prune152.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	197	8	205

Merged error: 0.0b

Counts

205 → 8

Compiler

Compiled 3346 to 1021 computations (69.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
1.5b	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64_19862`
176×	`add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
88×	`add-cube-cbrt_binary64_19891`
44×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
24×	`associate-/l*_binary64_19801`
16×	`associate-/r/_binary64_19802`
10×	`associate-/r*_binary64_19800`
9×	`add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
8×	`flip3--_binary64_19860` `flip--_binary64_19831` `div-inv_binary64_19853`
4×	`cbrt-undiv_binary64_19890` `div-exp_binary64_19907`
2×	`pow1_binary64_19917` `clear-num_binary64_19855` `frac-2neg_binary64_19867` `add-log-exp_binary64_19895`
1×	`associate-/l/_binary64_19803`

Counts

2 → 185

Calls

2 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
5.0ms	(/.f64 x (-.f64 t z))

series380.0ms (6%)

Counts

2 → 36

Calls

2 calls:

288.0ms	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
91.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 1160 to 875 computations (24.6% saved)

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5121	5438

prune161.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	220	9	229

Merged error: 0b

Counts

229 → 9

Compiler

Compiled 4308 to 784 computations (81.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
1.1b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
1.3b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))

rewrite164.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64_19862`
844×	`add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
468×	`add-cube-cbrt_binary64_19891`
188×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
136×	`associate-/r*_binary64_19800`
60×	`associate-/r/_binary64_19802`
33×	`div-inv_binary64_19853`
31×	`add-exp-log_binary64_19894`
28×	`flip3--_binary64_19860` `flip--_binary64_19831`
19×	`add-cbrt-cube_binary64_19892` `div-exp_binary64_19907`
11×	`associate-/l*_binary64_19801`
10×	`cbrt-undiv_binary64_19890`
4×	`pow1_binary64_19917`
3×	`rec-exp_binary64_19906` `clear-num_binary64_19855` `frac-2neg_binary64_19867` `1-exp_binary64_19900` `add-log-exp_binary64_19895`
2×	`associate-/l/_binary64_19803`
1×	`inv-pow_binary64_19941` `div-sub_binary64_19861` `pow-flip_binary64_19930`

Counts

3 → 654

Calls

3 calls:

34.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
5.0ms	(/.f64 x (-.f64 t z))

series698.0ms (11.1%)

Counts

3 → 60

Calls

3 calls:

331.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
278.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))
89.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 1908 to 1457 computations (23.6% saved)

simplify234.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

714 → 714

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4987	22000
1	4987	22000

prune637.0ms (10.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	713	1	714
Fresh	2	4	6
Picked	1	0	1
Done	1	1	2
Total	717	6	723

Merged error: 0b

Counts

723 → 6

Compiler

Compiled 16987 to 3710 computations (78.2% saved)

regimes474.0ms (7.5%)

Compiler: Compiled 4126 to 3272 computations (20.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms (0%)

sample1.2s (19.6%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
13.0ms	403×	body	128	invalid

Compiler

Compiled 698 to 550 computations (21.2% saved)

Details

analyze659.0ms (10.5%)

sample18.0ms (0.3%)

simplify138.0ms (2.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite25.0ms (0.4%)

series457.0ms (7.2%)

simplify53.0ms (0.8%)

prune92.0ms (1.5%)

localize8.0ms (0.1%)

rewrite49.0ms (0.8%)

series400.0ms (6.4%)

simplify99.0ms (1.6%)

prune152.0ms (2.4%)

localize7.0ms (0.1%)

rewrite41.0ms (0.6%)

series380.0ms (6%)

simplify103.0ms (1.6%)

prune161.0ms (2.5%)

localize8.0ms (0.1%)

rewrite164.0ms (2.6%)

series698.0ms (11.1%)

simplify234.0ms (3.7%)

prune637.0ms (10.1%)

regimes474.0ms (7.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (19.6%)

Profiling