Details

analyze1.0s (23.3%)

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
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)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	255×	body	80	valid
0.0ms	13×	body	80	invalid
0.0ms	1×	body	640	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify155.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5069	19

prune7.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

17.0ms	(+.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))

series58.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
17.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
5.0ms	(*.f64 60 (-.f64 x y))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5836	1061

prune70.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

Compiler

Compiled 1387 to 728 computations (47.5% 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))
0.7b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 205

Calls

3 calls:

31.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
12.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series100.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
36.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
15.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4958	5222
1	4958	5222

prune144.0ms (3.2%)

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

Merged error: 0b

Counts

219 → 5

Compiler

Compiled 4991 to 1933 computations (61.3% 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))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

14.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
11.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series68.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
17.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
16.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5990	2119

prune71.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 2538 to 969 computations (61.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64`
30×	`times-frac_binary64`
26×	`associate-r_binary64`
25×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
6×	`add-log-exp_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-l_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`sub-neg_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 126

Calls

4 calls:

14.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
14.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
7.0ms	(*.f64 60 (-.f64 x y))
6.0ms	(/.f64 1 (-.f64 z t))

series61.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
16.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
5.0ms	(*.f64 60 (-.f64 x y))
5.0ms	(/.f64 1 (-.f64 z t))

simplify104.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4994	1910
1	4994	1910

prune89.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	138	5	143

Merged error: 0b

Counts

143 → 5

Compiler

Compiled 2690 to 1421 computations (47.2% saved)

regimes688.0ms (15.5%)

Compiler: Compiled 1400 to 1280 computations (8.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample1.3s (28.4%)

Algorithm

1×

intervals

Results

314.0ms	7886×	body	80	valid
24.0ms	656×	body	80	invalid
8.0ms	30×	body	640	valid
7.0ms	39×	body	1280	valid
5.0ms	22×	body	2560	valid
1.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

Compiler

Compiled 138 to 129 computations (6.5% saved)

Details

analyze1.0s (23.3%)

sample22.0ms (0.5%)

simplify155.0ms (3.5%)

prune7.0ms (0.1%)

localize10.0ms (0.2%)

rewrite35.0ms (0.8%)

series58.0ms (1.3%)

simplify73.0ms (1.6%)

prune70.0ms (1.6%)

localize9.0ms (0.2%)

rewrite65.0ms (1.5%)

series100.0ms (2.3%)

simplify111.0ms (2.5%)

prune144.0ms (3.2%)

localize9.0ms (0.2%)

rewrite39.0ms (0.9%)

series68.0ms (1.5%)

simplify94.0ms (2.1%)

prune71.0ms (1.6%)

localize10.0ms (0.2%)

rewrite47.0ms (1.1%)

series61.0ms (1.4%)

simplify104.0ms (2.3%)

prune89.0ms (2%)

regimes688.0ms (15.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (28.4%)

Profiling