Details

analyze1.9s (10.7%)

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
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	250×	body	128	valid
1.0ms	19×	body	128	invalid
1.0ms	2×	body	2048	valid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify384.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	5048	19

prune5.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite200.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_21242`
15×	`*-un-lft-identity_binary64_21220`
10×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
9×	`add-cube-cbrt_binary64_21255`
6×	`cancel-sign-sub-inv_binary64_21186`
5×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `times-frac_binary64_21226` `associate-/r_binary64_21164` `associate-r*_binary64_21160`
4×	`associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
3×	`difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `flip3--_binary64_21224` `flip--_binary64_21195` `associate-l_binary64_21161`
2×	`prod-exp_binary64_21269` `div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `cbrt-unprod_binary64_21253` `associate-/l/_binary64_21167` `associate-/r/_binary64_21166` `sub-neg_binary64_21213`
1×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `div-inv_binary64_21217` `associate-/l_binary64_21165` `sum-log_binary64_21311` `flip3-+_binary64_21223` `flip-+_binary64_21194` `+-commutative_binary64_21150` `pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188` `-commutative_binary64_21151`

Counts

3 → 70

Calls

3 calls:

21.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
18.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
13.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1484 to 742 computations (50% saved)

series1.5s (8.5%)

Error

0.1b

Counts

3 → 74

Calls

3 calls:

811.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
455.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
121.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 3869 to 2913 computations (24.7% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5018	2679

prune252.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	138	6	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	7	145

Error

0.0b

Counts

145 → 7

Compiler

Compiled 2768 to 1370 computations (50.5% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.8b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite507.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

218×	`times-frac_binary64_21226`
195×	`add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
91×	`add-cube-cbrt_binary64_21255`
52×	`difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
36×	`associate-/r*_binary64_21164`
11×	`associate-/r/_binary64_21166`
10×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
8×	`associate-/l*_binary64_21165`
6×	`div-inv_binary64_21217` `flip3--_binary64_21224` `flip--_binary64_21195`
5×	`add-log-exp_binary64_21259`
4×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
3×	`pow1_binary64_21281`
2×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `associate-/l/_binary64_21167`
1×	`div-sub_binary64_21225` `sum-log_binary64_21311` `flip3-+_binary64_21223` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

3 → 205

Calls

3 calls:

59.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
22.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
15.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 5229 to 2073 computations (60.4% saved)

series1.8s (10.3%)

Error

0.0b

Counts

3 → 89

Calls

3 calls:

834.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
454.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
404.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 5057 to 3689 computations (27.1% saved)

simplify213.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4969	7432
1	4969	7432

prune485.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	294	7	301

Error

0.0b

Counts

301 → 7

Compiler

Compiled 6783 to 2669 computations (60.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
0.0b	(/.f64 1 (-.f64 z t))
0.3b	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))

rewrite342.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`add-sqr-sqrt_binary64_21242`
43×	`*-un-lft-identity_binary64_21220`
32×	`add-exp-log_binary64_21258`
30×	`times-frac_binary64_21226`
27×	`add-cube-cbrt_binary64_21255`
26×	`associate-r_binary64_21160`
20×	`add-cbrt-cube_binary64_21256`
13×	`prod-exp_binary64_21269`
12×	`pow1_binary64_21281`
8×	`difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
7×	`cbrt-unprod_binary64_21253` `associate-*r/_binary64_21162`
6×	`div-exp_binary64_21271` `add-log-exp_binary64_21259` `cancel-sign-sub-inv_binary64_21186`
5×	`flip3--_binary64_21224` `flip--_binary64_21195` `associate-/r*_binary64_21164`
4×	`pow-prod-down_binary64_21291` `associate-l_binary64_21161` `associate-/r/_binary64_21166` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
3×	`1-exp_binary64_21264` `rec-exp_binary64_21270` `cbrt-undiv_binary64_21254` `associate-/l*_binary64_21165`
2×	`frac-times_binary64_21230` `associate-l/_binary64_21163` `div-inv_binary64_21217` `-commutative_binary64_21151` `sub-neg_binary64_21213`
1×	`un-div-inv_binary64_21218` `inv-pow_binary64_21305` `pow-flip_binary64_21294` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `sum-log_binary64_21311` `flip3-+_binary64_21223` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

4 → 132

Calls

4 calls:

31.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
23.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
13.0ms	(*.f64 60 (-.f64 x y))
10.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 3092 to 1703 computations (44.9% saved)

series1.7s (9.3%)

Error

0.0b

Counts

4 → 89

Calls

4 calls:

829.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
467.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
118.0ms	(*.f64 60 (-.f64 x y))
87.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 4631 to 3540 computations (23.6% saved)

simplify167.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4946	3904
1	4946	3904

prune372.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	222	6	228

Error

0.0b

Counts

228 → 6

Compiler

Compiled 4517 to 2227 computations (50.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
0.2b	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
0.5b	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))

rewrite400.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`times-frac_binary64_21226`
46×	`add-sqr-sqrt_binary64_21242`
44×	`*-un-lft-identity_binary64_21220`
32×	`add-exp-log_binary64_21258`
30×	`add-cube-cbrt_binary64_21255`
20×	`add-cbrt-cube_binary64_21256`
14×	`div-exp_binary64_21271`
12×	`associate-r/_binary64_21162` `associate-/r_binary64_21164`
11×	`associate-/r/_binary64_21166`
8×	`associate-/l*_binary64_21165`
7×	`pow1_binary64_21281` `cbrt-undiv_binary64_21254` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `flip3--_binary64_21224` `flip--_binary64_21195`
6×	`add-log-exp_binary64_21259` `div-inv_binary64_21217` `cancel-sign-sub-inv_binary64_21186`
5×	`prod-exp_binary64_21269` `associate-r_binary64_21160`
4×	`distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
3×	`1-exp_binary64_21264` `rec-exp_binary64_21270` `cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
2×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `associate-/l/_binary64_21167` `sub-neg_binary64_21213`
1×	`inv-pow_binary64_21305` `pow-flip_binary64_21294` `div-sub_binary64_21225` `sum-log_binary64_21311` `flip3-+_binary64_21223` `flip-+_binary64_21194` `+-commutative_binary64_21150` `pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151`

Counts

4 → 143

Calls

4 calls:

38.0ms	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
26.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))
19.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
13.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 3452 to 1868 computations (45.9% saved)

series2.3s (12.5%)

Error

0.0b

Counts

4 → 101

Calls

4 calls:

852.0ms	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
583.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
518.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))
118.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 5867 to 4444 computations (24.3% saved)

simplify187.0ms (1%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5253	4976

prune404.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	244	6	250

Error

0.0b

Counts

250 → 6

Compiler

Compiled 4992 to 2367 computations (52.6% saved)

regimes1.4s (7.8%)

Accuracy

Total 0.4b remaining (98.1%)

Threshold costs 0.4b (98.1%)

Compiler

Compiled 9091 to 7465 computations (17.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms (0%)

sample3.2s (17.8%)

Algorithm

1×

intervals

Results

1.0s	7888×	body	128	valid
49.0ms	660×	body	128	invalid
14.0ms	38×	body	2048	valid
11.0ms	36×	body	1024	valid
6.0ms	26×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 859 to 710 computations (17.3% saved)

Details

analyze1.9s (10.7%)

sample45.0ms (0.3%)

simplify384.0ms (2.1%)

prune5.0ms (0%)

localize29.0ms (0.2%)

rewrite200.0ms (1.1%)

series1.5s (8.5%)

simplify104.0ms (0.6%)

prune252.0ms (1.4%)

localize19.0ms (0.1%)

rewrite507.0ms (2.8%)

series1.8s (10.3%)

simplify213.0ms (1.2%)

prune485.0ms (2.7%)

localize22.0ms (0.1%)

rewrite342.0ms (1.9%)

series1.7s (9.3%)

simplify167.0ms (0.9%)

prune372.0ms (2.1%)

localize21.0ms (0.1%)

rewrite400.0ms (2.2%)

series2.3s (12.5%)

simplify187.0ms (1%)

prune404.0ms (2.2%)

regimes1.4s (7.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.2s (17.8%)

Profiling