Details

analyze264.0ms (4.8%)

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)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify195.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

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

rewrite173.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Compiler

Compiled 2176 to 1495 computations (31.3% saved)

series314.0ms (5.8%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

136.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
108.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
39.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1066 to 804 computations (24.6% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5017	2129

prune120.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	5	129

Error

Counts

129 → 5

Compiler

Compiled 2405 to 1424 computations (40.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite124.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 84

Calls

2 calls:

19.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2019 to 1235 computations (38.8% saved)

series251.0ms (4.6%)

Error

Counts

2 → 27

Calls

2 calls:

135.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
98.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 879 to 654 computations (25.6% saved)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4999	2075
1	4999	2075

prune97.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 2181 to 1265 computations (42% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m 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)
6.9b	(/.f64 (pow.f64 m 3) v)

rewrite208.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 135

Calls

4 calls:

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 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4211 to 1864 computations (55.7% saved)

series426.0ms (7.8%)

Error

Counts

4 → 36

Calls

4 calls:

183.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
87.0ms	(/.f64 (pow.f64 m 3) v)
65.0ms	(*.f64 (/.f64 m v) m)
63.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1870 to 1249 computations (33.2% saved)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5500	2556

prune177.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	172	4	176

Error

Counts

176 → 4

Compiler

Compiled 4483 to 1968 computations (56.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite229.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 131

Calls

4 calls:

14.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
11.0ms	(*.f64 (pow.f64 m 3) (/.f64 1 v))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 4320 to 2128 computations (50.7% saved)

series427.0ms (7.8%)

Error

Counts

4 → 36

Calls

4 calls:

170.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
89.0ms	(*.f64 (pow.f64 m 3) (/.f64 1 v))
71.0ms	(*.f64 (/.f64 m v) m)
63.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 2026 to 1405 computations (30.7% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4946	2429
1	4946	2429

prune192.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	167	4	171

Error

Counts

171 → 4

Compiler

Compiled 4540 to 2264 computations (50.1% saved)

regimes259.0ms (4.8%)

Accuracy

Total 0.1b remaining (97.7%)

Threshold costs 0.1b (97.7%)

Compiler

Compiled 3261 to 2554 computations (21.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.6s (29.7%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
158.0ms	8051×	pre	128	true
2.0ms	51×	body	128	invalid

Compiler

Compiled 1076 to 842 computations (21.7% saved)

Details

analyze264.0ms (4.8%)

sample29.0ms (0.5%)

simplify195.0ms (3.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite173.0ms (3.2%)

series314.0ms (5.8%)

simplify68.0ms (1.3%)

prune120.0ms (2.2%)

localize7.0ms (0.1%)

rewrite124.0ms (2.3%)

series251.0ms (4.6%)

simplify69.0ms (1.3%)

prune97.0ms (1.8%)

localize14.0ms (0.3%)

rewrite208.0ms (3.8%)

series426.0ms (7.8%)

simplify63.0ms (1.2%)

prune177.0ms (3.3%)

localize13.0ms (0.2%)

rewrite229.0ms (4.2%)

series427.0ms (7.8%)

simplify93.0ms (1.7%)

prune192.0ms (3.5%)

regimes259.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (29.7%)

Profiling