Details

analyze1.0s (19.4%)

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
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify536.0ms (10%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (443.0ms)

Iter	Nodes	Cost
0	4977	16
1	4977	16

prune4.0ms (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: 11.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
11.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_15423` `add-sqr-sqrt_binary64_15445`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`add-cube-cbrt_binary64_15458`
6×	`cancel-sign-sub-inv_binary64_15389`
5×	`times-frac_binary64_15429` `associate-r_binary64_15363` `pow1_binary64_15484` `associate-/r*_binary64_15367` `add-log-exp_binary64_15462`
4×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-*r/_binary64_15365`
3×	`flip3--_binary64_15427` `difference-of-squares_binary64_15392` `flip--_binary64_15398` `distribute-lft-out--_binary64_15375` `associate-l_binary64_15364`
2×	`div-exp_binary64_15474` `associate-/l/_binary64_15370` `cbrt-undiv_binary64_15457` `prod-exp_binary64_15472` `associate-/r/_binary64_15369` `sub-neg_binary64_15416` `cbrt-unprod_binary64_15456`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `flip3-+_binary64_15426` `associate-/l_binary64_15368` `distribute-lft-out_binary64_15374` `flip-+_binary64_15397` `div-inv_binary64_15420` `sum-log_binary64_15514` `clear-num_binary64_15422` `+-commutative_binary64_15353` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494`

Counts

3 → 71

Calls

3 calls:

18.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series253.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
83.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
40.0ms	(*.f64 y (-.f64 z t))

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4980	1097
1	4980	1097

prune77.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

Compiler

Compiled 1349 to 349 computations (74.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.3b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite109.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15429`
197×	`*-un-lft-identity_binary64_15423`
195×	`add-sqr-sqrt_binary64_15445`
91×	`add-cube-cbrt_binary64_15458`
52×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`associate-/r*_binary64_15367`
11×	`associate-/r/_binary64_15369`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`associate-/l*_binary64_15368`
6×	`flip3--_binary64_15427` `flip--_binary64_15398` `div-inv_binary64_15420`
5×	`add-log-exp_binary64_15462`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
3×	`pow1_binary64_15484`
2×	`frac-2neg_binary64_15434` `associate-/l/_binary64_15370` `clear-num_binary64_15422`
1×	`flip3-+_binary64_15426` `distribute-lft-out_binary64_15374` `div-sub_binary64_15428` `flip-+_binary64_15397` `sum-log_binary64_15514` `+-commutative_binary64_15353`

Counts

3 → 206

Calls

3 calls:

41.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
18.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series290.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

128.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
127.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
35.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify116.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5084	5192

prune187.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	215	8	223

Merged error: 0.0b

Counts

223 → 8

Compiler

Compiled 4573 to 784 computations (82.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))))
0.0b	(/.f64 1 (-.f64 z t))
0.2b	(*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))
1.3b	(/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t))))

rewrite58.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_15445`
45×	`*-un-lft-identity_binary64_15423`
35×	`times-frac_binary64_15429`
32×	`add-exp-log_binary64_15461`
26×	`add-cube-cbrt_binary64_15458`
21×	`associate-r_binary64_15363`
20×	`add-cbrt-cube_binary64_15459`
11×	`div-exp_binary64_15474`
10×	`associate-/r/_binary64_15369`
8×	`difference-of-squares_binary64_15392` `prod-exp_binary64_15472` `distribute-lft-out--_binary64_15375`
7×	`pow1_binary64_15484`
6×	`flip3--_binary64_15427` `associate-/l_binary64_15368` `flip--_binary64_15398` `cbrt-undiv_binary64_15457` `associate-/r_binary64_15367` `add-log-exp_binary64_15462`
5×	`associate-l_binary64_15364`
4×	`frac-times_binary64_15433` `cbrt-unprod_binary64_15456` `associate-*l/_binary64_15366`
3×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `div-inv_binary64_15420` `unswap-sqr_binary64_15391`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-*r/_binary64_15365` `un-div-inv_binary64_15421`
1×	`*-commutative_binary64_15354` `flip3-+_binary64_15426` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `distribute-lft-out_binary64_15374` `flip-+_binary64_15397` `sum-log_binary64_15514` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494`

Counts

4 → 134

Calls

4 calls:

16.0ms	(*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))
13.0ms	(/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t))))
7.0ms	(+.f64 x (/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))))
6.0ms	(/.f64 1 (-.f64 z t))

series339.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(+.f64 x (/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))))
141.0ms	(/.f64 y (*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t))))
32.0ms	(*.f64 (-.f64 z a) (/.f64 1 (-.f64 z t)))
24.0ms	(/.f64 1 (-.f64 z t))

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5376	2002

prune139.0ms (2.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	146	8	154

Merged error: 0.0b

Counts

154 → 8

Compiler

Compiled 2563 to 872 computations (66% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_15445`
71×	`*-un-lft-identity_binary64_15423`
51×	`times-frac_binary64_15429`
31×	`associate-r_binary64_15363`
27×	`add-cube-cbrt_binary64_15458`
22×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`pow1_binary64_15484` `associate-/l_binary64_15368` `associate-/r_binary64_15367` `add-log-exp_binary64_15462`
4×	`associate-/r/_binary64_15369`
3×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-l_binary64_15364`
2×	`div-exp_binary64_15474` `associate-/l/_binary64_15370` `cbrt-undiv_binary64_15457` `prod-exp_binary64_15472` `div-inv_binary64_15420` `unswap-sqr_binary64_15391` `cbrt-unprod_binary64_15456`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `flip3-+_binary64_15426` `div-sub_binary64_15428` `flip-+_binary64_15397` `sum-log_binary64_15514` `clear-num_binary64_15422` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
12.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series261.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

123.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
81.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
56.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5134	2068

prune98.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

Compiler

Compiled 2223 to 427 computations (80.8% saved)

regimes300.0ms (5.6%)

Compiler: Compiled 1946 to 1559 computations (19.9% saved)

bsearch46.0ms (0.9%)

Steps

Iters	Range		Point
7	-3.0628745303460165e-237	-3.1410667561704035e-239	-9.698192082570641e-239
9	-25614336351848.38	-334603.13843629113	-7556432.438506252

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	49
1	47	49

end0.0ms (0%)

sample1.1s (20.3%)

Algorithm

1×

intervals

Results

366.0ms	7998×	body	128	valid
33.0ms	787×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 312 to 247 computations (20.8% saved)

Details

analyze1.0s (19.4%)

sample21.0ms (0.4%)

simplify536.0ms (10%)

prune4.0ms (0.1%)

localize16.0ms (0.3%)

rewrite40.0ms (0.7%)

series253.0ms (4.7%)

simplify92.0ms (1.7%)

prune77.0ms (1.4%)

localize8.0ms (0.1%)

rewrite109.0ms (2%)

series290.0ms (5.4%)

simplify116.0ms (2.2%)

prune187.0ms (3.5%)

localize10.0ms (0.2%)

rewrite58.0ms (1.1%)

series339.0ms (6.3%)

simplify88.0ms (1.6%)

prune139.0ms (2.6%)

localize8.0ms (0.2%)

rewrite41.0ms (0.8%)

series261.0ms (4.9%)

simplify86.0ms (1.6%)

prune98.0ms (1.8%)

regimes300.0ms (5.6%)

bsearch46.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (20.3%)

Profiling