Details

analyze261.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1723	40
1	1723	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

prune2.0ms (0%)

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

Error

62.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

62.0b

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

62.0b

Rules

37×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
25×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
12×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
5×	`associate-/l_binary64_705` `associate-/r_binary64_704`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

1 → 52

Calls

1 calls:

13.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 844 to 193 computations (77.1% saved)

series71.0ms (1%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

60.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5114	1055

prune44.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Error

51.8b

Counts

63 → 3

Compiler

Compiled 847 to 183 computations (78.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

19×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
15×	`times-frac_binary64_766`
11×	`add-cube-cbrt_binary64_795`
5×	`associate-/l*_binary64_705`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
2×	`associate-/l/_binary64_707`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 476 to 136 computations (71.4% saved)

series91.0ms (1.3%)

Error

51.8b

Counts

1 → 12

Calls

1 calls:

86.0ms

(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 183 to 136 computations (25.7% saved)

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5044	599

prune42.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	39	11	50
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	40	13	53

Error

51.8b

Counts

53 → 13

Compiler

Compiled 665 to 223 computations (66.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)
0.5b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x lo) hi) 3))
0.7b	(pow.f64 (/.f64 (-.f64 x lo) hi) 3)

rewrite165.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

83×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
75×	`times-frac_binary64_766`
51×	`add-cube-cbrt_binary64_795`
44×	`cbrt-prod_binary64_791`
38×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
16×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`div-inv_binary64_757` `associate-/l*_binary64_705`
4×	`pow1_binary64_821`
3×	`pow-unpow_binary64_837` `add-log-exp_binary64_799` `associate-/r*_binary64_704`
2×	`div-exp_binary64_811` `pow-exp_binary64_828` `unpow3_binary64_826` `cube-mult_binary64_790` `cube-div_binary64_789` `rem-cube-cbrt_binary64_783` `cbrt-undiv_binary64_794` `sqr-pow_binary64_732` `associate-/l/_binary64_707`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow1/3_binary64_842` `cbrt-div_binary64_792` `rem-cbrt-cube_binary64_784` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

3 → 150

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x lo) hi) 3))
7.0ms	(pow.f64 (/.f64 (-.f64 x lo) hi) 3)
6.0ms	(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 2651 to 1051 computations (60.4% saved)

series315.0ms (4.5%)

Error

51.8b

Counts

3 → 33

Calls

3 calls:

109.0ms	(pow.f64 (/.f64 (-.f64 x lo) hi) 3)
101.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x lo) hi) 3))
89.0ms	(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 835 to 707 computations (15.3% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5162	2625

prune133.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	173	10	183
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	178	18	196

Error

51.8b

Counts

196 → 18

Compiler

Compiled 2546 to 992 computations (61% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 hi)
0.5b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3))
0.6b	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
0.7b	(pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3)

rewrite455.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

336×	`times-frac_binary64_766`
249×	`cbrt-prod_binary64_791`
195×	`add-sqr-sqrt_binary64_782`
187×	`*-un-lft-identity_binary64_760`
139×	`add-cube-cbrt_binary64_795`
116×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
28×	`div-inv_binary64_757`
24×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
16×	`add-exp-log_binary64_798`
12×	`pow1_binary64_821`
9×	`add-cbrt-cube_binary64_796`
8×	`pow1/3_binary64_842`
6×	`swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
5×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
4×	`pow-exp_binary64_828` `add-log-exp_binary64_799` `rem-cube-cbrt_binary64_783` `unswap-sqr_binary64_728`
3×	`pow-unpow_binary64_837`
2×	`prod-exp_binary64_809` `unpow3_binary64_826` `cube-mult_binary64_790` `cube-div_binary64_789` `cbrt-unprod_binary64_793` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow2_binary64_841` `pow-plus_binary64_823` `*-commutative_binary64_691` `cbrt-div_binary64_792` `rem-cbrt-cube_binary64_784`

Counts

4 → 323

Calls

4 calls:

24.0ms	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3))
18.0ms	(pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3)
6.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
1.0ms	(cbrt.f64 hi)

Compiler

Compiled 9135 to 2614 computations (71.4% saved)

series452.0ms (6.4%)

Error

51.8b

Counts

4 → 27

Calls

4 calls:

145.0ms	(pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3)
116.0ms	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x lo) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (cbrt.f64 hi)) 3))
97.0ms	(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
76.0ms	(cbrt.f64 hi)

Compiler

Compiled 874 to 731 computations (16.4% saved)

simplify138.0ms (2%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5040	7245

prune304.0ms (4.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	342	8	350
Fresh	11	6	17
Picked	1	0	1
Done	0	0	0
Total	354	14	368

Error

51.8b

Counts

368 → 14

Compiler

Compiled 6177 to 2585 computations (58.2% saved)

regimes979.0ms (13.8%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 12790 to 7648 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	42
1	23	42

end0.0ms (0%)

sample3.2s (45.1%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
154.0ms	8000×	pre	128	true

Compiler

Compiled 3228 to 1930 computations (40.2% saved)

Details

analyze261.0ms (3.7%)

sample21.0ms (0.3%)

simplify77.0ms (1.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite48.0ms (0.7%)

series71.0ms (1%)

simplify55.0ms (0.8%)

prune44.0ms (0.6%)

localize4.0ms (0.1%)

rewrite35.0ms (0.5%)

series91.0ms (1.3%)

simplify86.0ms (1.2%)

prune42.0ms (0.6%)

localize7.0ms (0.1%)

rewrite165.0ms (2.3%)

series315.0ms (4.5%)

simplify78.0ms (1.1%)

prune133.0ms (1.9%)

localize13.0ms (0.2%)

rewrite455.0ms (6.4%)

series452.0ms (6.4%)

simplify138.0ms (2%)

prune304.0ms (4.3%)

regimes979.0ms (13.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.2s (45.1%)

Profiling