Details

analyze1.3s (15.3%)

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
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	222×	body	128	valid
7.0ms	15×	body	512	valid
2.0ms	40×	body	128	invalid
1.0ms	9×	body	1024	valid
1.0ms	8×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify231.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4915	19
1	4915	19

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

Merged error: 21.5b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
1.8b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
15.9b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite76.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_15786` `*-un-lft-identity_binary64_15764`
13×	`flip--_binary64_15739` `flip3--_binary64_15768`
10×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
9×	`add-cube-cbrt_binary64_15799`
8×	`frac-times_binary64_15774` `associate-/l/_binary64_15711`
6×	`cancel-sign-sub-inv_binary64_15730`
5×	`add-log-exp_binary64_15803` `associate-l_binary64_15705` `associate-r_binary64_15704` `times-frac_binary64_15770` `associate-/r*_binary64_15708` `pow1_binary64_15825`
4×	`distribute-lft-in_binary64_15713` `associate-l/_binary64_15707` `distribute-lft-out--_binary64_15716` `associate-r/_binary64_15706` `difference-of-squares_binary64_15733` `distribute-rgt-in_binary64_15714`
2×	`cbrt-undiv_binary64_15798` `sub-neg_binary64_15757` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `div-exp_binary64_15815` `associate-/r/_binary64_15710`
1×	`flip3-+_binary64_15767` `distribute-lft-out_binary64_15715` `sum-log_binary64_15855` `div-inv_binary64_15761` `frac-2neg_binary64_15775` `unswap-sqr_binary64_15732` `clear-num_binary64_15763` `-commutative_binary64_15695` `associate-/l_binary64_15709` `+-commutative_binary64_15694` `flip-+_binary64_15738` `pow-prod-down_binary64_15835`

Counts

3 → 85

Calls

3 calls:

21.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
20.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
16.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

series516.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

287.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
195.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
34.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4998	1705
1	4998	1705

prune119.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 3.2b

Counts

95 → 9

Compiler

Compiled 2031 to 507 computations (75% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.8b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
2.7b	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite132.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`times-frac_binary64_15770`
323×	`*-un-lft-identity_binary64_15764`
321×	`add-sqr-sqrt_binary64_15786`
113×	`add-cube-cbrt_binary64_15799`
104×	`distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733`
36×	`associate-/r*_binary64_15708`
15×	`associate-/r/_binary64_15710`
10×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-/l*_binary64_15709`
9×	`flip--_binary64_15739` `flip3--_binary64_15768`
8×	`div-inv_binary64_15761`
5×	`add-log-exp_binary64_15803`
4×	`cbrt-undiv_binary64_15798` `associate-/l/_binary64_15711` `div-exp_binary64_15815`
3×	`div-sub_binary64_15769` `pow1_binary64_15825`
2×	`frac-2neg_binary64_15775` `clear-num_binary64_15763`
1×	`flip3-+_binary64_15767` `distribute-lft-out_binary64_15715` `sum-log_binary64_15855` `associate-+r-_binary64_15698` `+-commutative_binary64_15694` `flip-+_binary64_15738`

Counts

3 → 274

Calls

3 calls:

57.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
20.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
15.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series605.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

275.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
265.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
65.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5145	8451

prune299.0ms (3.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	281	11	292

Merged error: 2.9b

Counts

292 → 11

Compiler

Compiled 7128 to 1016 computations (85.7% saved)

localize263.0ms (3.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 z t))
0.2b	(*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))
2.2b	(+.f64 x (/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))))
2.7b	(/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t))))

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_15786`
49×	`*-un-lft-identity_binary64_15764`
37×	`times-frac_binary64_15770`
32×	`add-exp-log_binary64_15802`
26×	`add-cube-cbrt_binary64_15799`
21×	`associate-r_binary64_15704`
20×	`add-cbrt-cube_binary64_15800`
11×	`div-exp_binary64_15815`
10×	`distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733` `associate-/r/_binary64_15710`
8×	`prod-exp_binary64_15813` `associate-/l*_binary64_15709`
7×	`flip--_binary64_15739` `flip3--_binary64_15768` `pow1_binary64_15825`
6×	`add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798` `associate-/r*_binary64_15708`
5×	`associate-l_binary64_15705`
4×	`associate-*l/_binary64_15707` `cbrt-unprod_binary64_15797` `frac-times_binary64_15774`
3×	`div-inv_binary64_15761` `unswap-sqr_binary64_15732` `rec-exp_binary64_15814` `1-exp_binary64_15808`
2×	`associate-*r/_binary64_15706` `frac-2neg_binary64_15775` `associate-/l/_binary64_15711` `un-div-inv_binary64_15762` `clear-num_binary64_15763` `div-sub_binary64_15769`
1×	`flip3-+_binary64_15767` `distribute-lft-out_binary64_15715` `inv-pow_binary64_15849` `sum-log_binary64_15855` `pow-flip_binary64_15838` `*-commutative_binary64_15695` `associate-+r-_binary64_15698` `+-commutative_binary64_15694` `flip-+_binary64_15738` `pow-prod-down_binary64_15835`

Counts

4 → 142

Calls

4 calls:

16.0ms	(/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t))))
15.0ms	(*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))
10.0ms	(+.f64 x (/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))))
6.0ms	(/.f64 1 (-.f64 z t))

series606.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t))))
258.0ms	(+.f64 x (/.f64 (-.f64 y x) (*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))))
48.0ms	(*.f64 (-.f64 a t) (/.f64 1 (-.f64 z t)))
29.0ms	(/.f64 1 (-.f64 z t))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5136	2361

prune162.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	154	11	165

Merged error: 2.9b

Counts

165 → 11

Compiler

Compiled 3152 to 965 computations (69.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.8b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
2.9b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_15786`
73×	`*-un-lft-identity_binary64_15764`
51×	`times-frac_binary64_15770`
31×	`associate-r_binary64_15704`
27×	`add-cube-cbrt_binary64_15799`
23×	`distribute-lft-out--_binary64_15716` `difference-of-squares_binary64_15733`
10×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
5×	`add-log-exp_binary64_15803` `associate-l_binary64_15705` `associate-/r_binary64_15708` `flip--_binary64_15739` `associate-/l_binary64_15709` `flip3--_binary64_15768` `pow1_binary64_15825`
4×	`associate-/r/_binary64_15710`
2×	`associate-*l/_binary64_15707` `cbrt-undiv_binary64_15798` `div-inv_binary64_15761` `cbrt-unprod_binary64_15797` `frac-times_binary64_15774` `prod-exp_binary64_15813` `associate-/l/_binary64_15711` `unswap-sqr_binary64_15732` `div-exp_binary64_15815`
1×	`flip3-+_binary64_15767` `associate-r/_binary64_15706` `sum-log_binary64_15855` `frac-2neg_binary64_15775` `clear-num_binary64_15763` `-commutative_binary64_15695` `div-sub_binary64_15769` `+-commutative_binary64_15694` `flip-+_binary64_15738` `pow-prod-down_binary64_15835`

Counts

3 → 119

Calls

3 calls:

29.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
16.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
7.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series547.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

271.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
210.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
65.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5753	2426

prune122.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 2.9b

Counts

139 → 11

Compiler

Compiled 2629 to 473 computations (82% saved)

regimes913.0ms (10.7%)

Compiler: Compiled 7486 to 4812 computations (35.7% saved)

bsearch3.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	105
1	89	105

end0.0ms (0%)

sample2.1s (24.3%)

Algorithm

1×

intervals

Results

324.0ms	6705×	body	128	valid
74.0ms	380×	body	1024	valid
66.0ms	498×	body	512	valid
61.0ms	1201×	body	128	invalid
39.0ms	353×	body	256	valid
14.0ms	64×	body	2048	valid

Compiler

Compiled 1362 to 852 computations (37.4% saved)

Details

analyze1.3s (15.3%)

sample33.0ms (0.4%)

simplify231.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite76.0ms (0.9%)

series516.0ms (6.1%)

simplify82.0ms (1%)

prune119.0ms (1.4%)

localize17.0ms (0.2%)

rewrite132.0ms (1.5%)

series605.0ms (7.1%)

simplify142.0ms (1.7%)

prune299.0ms (3.5%)

localize263.0ms (3.1%)

rewrite58.0ms (0.7%)

series606.0ms (7.1%)

simplify62.0ms (0.7%)

prune162.0ms (1.9%)

localize9.0ms (0.1%)

rewrite72.0ms (0.8%)

series547.0ms (6.4%)

simplify73.0ms (0.9%)

prune122.0ms (1.4%)

regimes913.0ms (10.7%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.1s (24.3%)

Profiling