Details

analyze265.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify194.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite43.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
10×	`associate-l_binary64`
8×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64` `difference-of-squares_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 95

Calls

3 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

series285.0ms (6.8%)

Counts

3 → 33

Calls

3 calls:

127.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
119.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
38.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 627 to 518 computations (17.4% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5017	2129

prune134.0ms (3.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 2410 to 1574 computations (34.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (/.f64 m v) m))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
6.9b	(/.f64 (pow.f64 m 3) v)

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
44×	`*-un-lft-identity_binary64`
39×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`add-log-exp_binary64` `associate-l_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`div-exp_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `sqr-pow_binary64` `flip-+_binary64` `frac-sub_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
3×	`associate-/r*_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64`
2×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64`

Counts

4 → 144

Calls

4 calls:

13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(.f64 2 (.f64 (/.f64 m v) m))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

series436.0ms (10.5%)

Counts

4 → 33

Calls

4 calls:

190.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
91.0ms	(/.f64 (pow.f64 m 3) v)
86.0ms	(.f64 2 (.f64 (/.f64 m v) m))
69.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1125 to 839 computations (25.4% saved)

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5002	2623

prune191.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	177	4	181

Error

Counts

181 → 4

Compiler

Compiled 4626 to 2126 computations (54% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
0.3b	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary64`
28×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
24×	`*-un-lft-identity_binary64`
19×	`add-cbrt-cube_binary64`
18×	`add-cube-cbrt_binary64`
14×	`prod-exp_binary64`
12×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
9×	`flip3--_binary64` `associate-*r/_binary64` `times-frac_binary64` `flip--_binary64`
8×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-l_binary64`
6×	`frac-times_binary64`
5×	`pow-prod-down_binary64`
4×	`sub-neg_binary64` `difference-of-squares_binary64` `div-exp_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
1×	`un-div-inv_binary64` `div-inv_binary64`

Counts

3 → 110

Calls

3 calls:

18.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
12.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
8.0ms	(*.f64 m (-.f64 1 m))

series277.0ms (6.7%)

Counts

3 → 33

Calls

3 calls:

133.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
105.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
39.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 645 to 536 computations (16.9% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5056	2297

prune132.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	143	4	147

Error

Counts

147 → 4

Compiler

Compiled 2735 to 1855 computations (32.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) (-.f64 1 m))
0.1b	(/.f64 v (*.f64 m (-.f64 1 m)))
0.2b	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite70.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
32×	`add-cube-cbrt_binary64`
22×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
14×	`associate-*r/_binary64` `div-exp_binary64`
12×	`flip3--_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `difference-of-squares_binary64`
9×	`pow1_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`cbrt-undiv_binary64` `div-inv_binary64`
6×	`prod-exp_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
3×	`1-exp_binary64` `difference-of-sqr-1_binary64` `rec-exp_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 166

Calls

4 calls:

31.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) (-.f64 1 m))
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
8.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))

series364.0ms (8.7%)

Counts

4 → 48

Calls

4 calls:

118.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) (-.f64 1 m))
105.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
100.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
40.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 985 to 819 computations (16.9% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5111	3617

prune220.0ms (5.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	214	4	218

Error

Counts

218 → 4

Compiler

Compiled 4218 to 2875 computations (31.8% saved)

regimes124.0ms (3%)

Accuracy

Total 0.1b remaining (92.2%)

Threshold costs 0.1b (92.2%)

Compiler

Compiled 1225 to 999 computations (18.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	21
1	45	21

end0.0ms (0%)

sample977.0ms (23.5%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
159.0ms	8055×	pre	128	true
2.0ms	55×	body	128	invalid

Compiler

Compiled 422 to 342 computations (19% saved)

Details

analyze265.0ms (6.4%)

sample24.0ms (0.6%)

simplify194.0ms (4.7%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite43.0ms (1%)

series285.0ms (6.8%)

simplify71.0ms (1.7%)

prune134.0ms (3.2%)

localize14.0ms (0.3%)

rewrite47.0ms (1.1%)

series436.0ms (10.5%)

simplify83.0ms (2%)

prune191.0ms (4.6%)

localize8.0ms (0.2%)

rewrite47.0ms (1.1%)

series277.0ms (6.7%)

simplify74.0ms (1.8%)

prune132.0ms (3.2%)

localize8.0ms (0.2%)

rewrite70.0ms (1.7%)

series364.0ms (8.7%)

simplify60.0ms (1.4%)

prune220.0ms (5.3%)

regimes124.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample977.0ms (23.5%)

Profiling