Details

analyze1.3s (20.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
5.0ms	17×	body	80	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5062	25

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: 22.1b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.0b	(*.f64 z (-.f64 t a))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.3b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 b y))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series139.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
8.0ms	(*.f64 z (-.f64 t a))
8.0ms	(*.f64 z (-.f64 b y))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5223	1947

prune125.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 21.4b

Counts

105 → 12

Compiler

Compiled 2823 to 560 computations (80.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.2b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.3b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
9.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
7.0ms	(*.f64 z (-.f64 t a))
6.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series294.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
80.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
15.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
8.0ms	(*.f64 z (-.f64 t a))

simplify118.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5106	5467

prune117.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	166	10	176

Merged error: 21.4b

Counts

176 → 10

Compiler

Compiled 5293 to 939 computations (82.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.7b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
21.1b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

16.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series146.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
19.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
15.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
8.0ms	(*.f64 z (-.f64 t a))

simplify289.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5994	2482

prune98.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	123	11	134

Merged error: 21.4b

Counts

134 → 11

Compiler

Compiled 3485 to 796 computations (77.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
0.7b	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
0.9b	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
20.7b	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64`
29×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64` `div-exp_binary64`
16×	`prod-exp_binary64`
15×	`associate-r_binary64`
10×	`pow1_binary64` `1-exp_binary64` `associate-/r/_binary64` `rec-exp_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
4×	`associate-/r_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `div-inv_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `associate-+r+_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 132

Calls

4 calls:

13.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
13.0ms	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
6.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
5.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

series315.0ms (5%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
84.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
23.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
15.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4966	3443
1	4966	3443

prune76.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	144	11	155

Merged error: 21.4b

Counts

155 → 11

Compiler

Compiled 3795 to 782 computations (79.4% saved)

regimes759.0ms (12%)

Compiler: Compiled 2751 to 1670 computations (39.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	28
1	42	28

end0.0ms (0%)

sample2.0s (31.9%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	80	valid
20.0ms	406×	body	80	invalid

Compiler

Compiled 388 to 242 computations (37.6% saved)

Details

analyze1.3s (20.7%)

sample33.0ms (0.5%)

simplify89.0ms (1.4%)

prune7.0ms (0.1%)

localize12.0ms (0.2%)

rewrite34.0ms (0.5%)

series139.0ms (2.2%)

simplify74.0ms (1.2%)

prune125.0ms (2%)

localize13.0ms (0.2%)

rewrite38.0ms (0.6%)

series294.0ms (4.7%)

simplify118.0ms (1.9%)

prune117.0ms (1.9%)

localize13.0ms (0.2%)

rewrite36.0ms (0.6%)

series146.0ms (2.3%)

simplify289.0ms (4.6%)

prune98.0ms (1.6%)

localize17.0ms (0.3%)

rewrite42.0ms (0.7%)

series315.0ms (5%)

simplify105.0ms (1.7%)

prune76.0ms (1.2%)

regimes759.0ms (12%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (31.9%)

Profiling