Details

analyze1.0s (18.2%)

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)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	250×	body	128	valid
1.0ms	17×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify226.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5048	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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize14.0ms (0.3%)

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))
0.5b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_20901`
15×	`*-un-lft-identity_binary64_20879`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
9×	`add-cube-cbrt_binary64_20914`
6×	`cancel-sign-sub-inv_binary64_20845`
5×	`times-frac_binary64_20885` `associate-/r_binary64_20823` `associate-r*_binary64_20819` `pow1_binary64_20940` `add-log-exp_binary64_20918`
4×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-*r/_binary64_20821`
3×	`flip3--_binary64_20883` `associate-l_binary64_20820` `flip--_binary64_20854` `distribute-lft-out--_binary64_20831` `difference-of-squares_binary64_20848`
2×	`div-exp_binary64_20930` `associate-/l/_binary64_20826` `cbrt-undiv_binary64_20913` `associate-/r/_binary64_20825` `sub-neg_binary64_20872` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `unswap-sqr_binary64_20847` `div-inv_binary64_20876` `-commutative_binary64_20810` `clear-num_binary64_20878` `flip-+_binary64_20853`

Counts

3 → 70

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

series243.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

153.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
71.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
19.0ms	(*.f64 60 (-.f64 x y))

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	1117
1	4957	1117

prune84.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

0.0b

Counts

80 → 7

Compiler

Compiled 1518 to 805 computations (47% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite50.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_20901`
71×	`*-un-lft-identity_binary64_20879`
51×	`times-frac_binary64_20885`
31×	`associate-r_binary64_20819`
27×	`add-cube-cbrt_binary64_20914`
22×	`distribute-lft-out--_binary64_20831` `difference-of-squares_binary64_20848`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
5×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `pow1_binary64_20940` `add-log-exp_binary64_20918`
4×	`associate-/r/_binary64_20825`
3×	`flip3--_binary64_20883` `associate-l_binary64_20820` `flip--_binary64_20854`
2×	`div-exp_binary64_20930` `associate-/l/_binary64_20826` `cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `div-inv_binary64_20876` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `-commutative_binary64_20810` `clear-num_binary64_20878` `flip-+_binary64_20853` `associate-r/_binary64_20821` `div-sub_binary64_20884`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
14.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series287.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

158.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
70.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
59.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5083	2119

prune105.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	124	5	129

Error

0.0b

Counts

129 → 5

Compiler

Compiled 2562 to 994 computations (61.2% saved)

localize9.0ms (0.2%)

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))
0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite83.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_20885`
195×	`add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
91×	`add-cube-cbrt_binary64_20914`
52×	`distribute-lft-out--_binary64_20831` `difference-of-squares_binary64_20848`
36×	`associate-/r*_binary64_20823`
11×	`associate-/r/_binary64_20825`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
8×	`associate-/l*_binary64_20824`
6×	`flip3--_binary64_20883` `flip--_binary64_20854` `div-inv_binary64_20876`
5×	`add-log-exp_binary64_20918`
4×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
3×	`pow1_binary64_20940`
2×	`associate-/l/_binary64_20826` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `flip-+_binary64_20853` `div-sub_binary64_20884`

Counts

3 → 205

Calls

3 calls:

33.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
13.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
12.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series461.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

251.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
144.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
65.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5051	5228

prune201.0ms (3.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	214	5	219

Error

0.0b

Counts

219 → 5

Compiler

Compiled 4992 to 1931 computations (61.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`add-sqr-sqrt_binary64_20901`
75×	`*-un-lft-identity_binary64_20879`
52×	`times-frac_binary64_20885`
37×	`associate-l_binary64_20820`
31×	`add-cube-cbrt_binary64_20914`
22×	`distribute-lft-out--_binary64_20831` `difference-of-squares_binary64_20848`
20×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
11×	`pow1_binary64_20940`
8×	`sqrt-prod_binary64_20895`
7×	`associate-r_binary64_20819` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
6×	`add-log-exp_binary64_20918`
5×	`associate-/l_binary64_20824` `associate-/r_binary64_20823`
4×	`pow-prod-down_binary64_20950` `associate-/r/_binary64_20825` `unswap-sqr_binary64_20847`
3×	`flip3--_binary64_20883` `flip--_binary64_20854` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
2×	`associate-/l/_binary64_20826` `div-inv_binary64_20876` `-commutative_binary64_20810` `associate-l/_binary64_20822`
1×	`frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `clear-num_binary64_20878` `flip-+_binary64_20853` `associate-*r/_binary64_20821` `div-sub_binary64_20884`

Counts

4 → 142

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
17.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
15.0ms	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series511.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
118.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
92.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
58.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5401	2754

prune155.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	154	5	159

Error

0.0b

Counts

159 → 5

Compiler

Compiled 3549 to 1728 computations (51.3% saved)

regimes532.0ms (9.6%)

Accuracy

Total 0.1b remaining (91%)

Threshold costs 0.1b (91%)

Compiler

Compiled 5589 to 4819 computations (13.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms (0%)

sample1.1s (20.1%)

Algorithm

1×

intervals

Results

340.0ms	7878×	body	128	valid
32.0ms	680×	body	128	invalid
8.0ms	58×	body	1024	valid
5.0ms	28×	body	2048	valid
2.0ms	18×	body	512	valid
1.0ms	15×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 488 to 424 computations (13.1% saved)

Details

analyze1.0s (18.2%)

sample24.0ms (0.4%)

simplify226.0ms (4.1%)

prune2.0ms (0%)

localize14.0ms (0.3%)

rewrite35.0ms (0.6%)

series243.0ms (4.4%)

simplify61.0ms (1.1%)

prune84.0ms (1.5%)

localize9.0ms (0.2%)

rewrite50.0ms (0.9%)

series287.0ms (5.2%)

simplify79.0ms (1.4%)

prune105.0ms (1.9%)

localize9.0ms (0.2%)

rewrite83.0ms (1.5%)

series461.0ms (8.3%)

simplify95.0ms (1.7%)

prune201.0ms (3.6%)

localize12.0ms (0.2%)

rewrite74.0ms (1.3%)

series511.0ms (9.2%)

simplify72.0ms (1.3%)

prune155.0ms (2.8%)

regimes532.0ms (9.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (20.1%)

Profiling