Details

analyze262.0ms (4.2%)

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify197.0ms (3.1%)

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)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite42.0ms (0.7%)

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:

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

series294.0ms (4.7%)

Counts

3 → 33

Calls

3 calls:

146.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
108.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
40.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 627 to 518 computations (17.4% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5017	2129

prune153.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	7	129

Error

0.0b

Counts

129 → 7

Compiler

Compiled 2466 to 1616 computations (34.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
7.1b	(/.f64 (pow.f64 m 3) v)

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64` `sum-log_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`diff-log_binary64` `frac-sub_binary64`
6×	`pow1_binary64` `frac-add_binary64` `cancel-sign-sub-inv_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`sqr-pow_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate--r+_binary64` `associate-+l-_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `pow-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

31.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

series497.0ms (7.9%)

Counts

4 → 45

Calls

4 calls:

179.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
162.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
84.0ms	(/.f64 (pow.f64 m 3) v)
71.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1178 to 891 computations (24.4% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4971	4376
1	4971	4376

prune230.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	199	6	205

Error

Counts

205 → 6

Compiler

Compiled 5562 to 2525 computations (54.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
0.7b	(/.f64 1 (/.f64 v (pow.f64 m 3)))
6.6b	(/.f64 v (pow.f64 m 3))

rewrite78.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

310×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
172×	`*-un-lft-identity_binary64`
167×	`add-cube-cbrt_binary64`
52×	`associate-/r*_binary64`
48×	`unpow-prod-down_binary64` `cube-prod_binary64`
36×	`add-exp-log_binary64`
21×	`div-exp_binary64`
16×	`add-log-exp_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
13×	`associate-l_binary64`
7×	`pow1_binary64` `div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`cbrt-undiv_binary64`
4×	`pow-to-exp_binary64` `flip3-+_binary64` `diff-log_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64` `frac-sub_binary64` `pow-exp_binary64` `sum-log_binary64`
3×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `flip--_binary64` `pow-flip_binary64` `associate--l+_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 313

Calls

4 calls:

12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
12.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
7.0ms	(*.f64 (/.f64 m v) m)
5.0ms	(/.f64 v (pow.f64 m 3))

series442.0ms (7.1%)

Counts

4 → 33

Calls

4 calls:

179.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
99.0ms	(/.f64 v (pow.f64 m 3))
90.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
74.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1215 to 905 computations (25.5% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5076	5580

prune458.0ms (7.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	346	6	352

Error

Counts

352 → 6

Compiler

Compiled 10066 to 4468 computations (55.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (pow.f64 m 3))
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))
0.1b	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))

rewrite147.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

315×	`times-frac_binary64`
305×	`add-sqr-sqrt_binary64`
291×	`*-un-lft-identity_binary64`
125×	`add-cube-cbrt_binary64`
96×	`difference-of-squares_binary64`
51×	`associate-/l*_binary64`
46×	`distribute-lft-out_binary64`
25×	`unpow-prod-down_binary64` `cube-prod_binary64`
24×	`distribute-lft-out--_binary64`
23×	`sqr-pow_binary64` `unpow3_binary64`
22×	`distribute-rgt-out--_binary64`
18×	`cancel-sign-sub-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`associate-/r/_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`associate-/l/_binary64` `sub-neg_binary64` `difference-of-sqr-1_binary64` `div-sub_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 329

Calls

4 calls:

62.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
12.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))
7.0ms	(-.f64 m (pow.f64 m 3))

series532.0ms (8.5%)

Counts

4 → 39

Calls

4 calls:

231.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
175.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
70.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))
56.0ms	(-.f64 m (pow.f64 m 3))

Compiler

Compiled 924 to 747 computations (19.2% saved)

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	10069
1	4986	10069

prune643.0ms (10.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	368	6	374

Error

Counts

374 → 6

Compiler

Compiled 10074 to 6607 computations (34.4% saved)

regimes277.0ms (4.4%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 3013 to 2325 computations (22.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	31
1	54	31

end0.0ms (0%)

sample1.5s (23.6%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
173.0ms	8063×	pre	128	true
2.0ms	63×	body	128	invalid

Compiler

Compiled 1025 to 789 computations (23% saved)

Details

analyze262.0ms (4.2%)

sample25.0ms (0.4%)

simplify197.0ms (3.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite42.0ms (0.7%)

series294.0ms (4.7%)

simplify72.0ms (1.1%)

prune153.0ms (2.4%)

localize12.0ms (0.2%)

rewrite73.0ms (1.2%)

series497.0ms (7.9%)

simplify76.0ms (1.2%)

prune230.0ms (3.7%)

localize13.0ms (0.2%)

rewrite78.0ms (1.3%)

series442.0ms (7.1%)

simplify97.0ms (1.6%)

prune458.0ms (7.3%)

localize11.0ms (0.2%)

rewrite147.0ms (2.4%)

series532.0ms (8.5%)

simplify129.0ms (2.1%)

prune643.0ms (10.3%)

regimes277.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (23.6%)

Profiling