Details

analyze790.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	84
1	60	84
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Symmetry

(sort V l)

Compiler

Compiled 9 to 9 computations (0% saved)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	106×	body	128	nan
1.0ms	22×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune8.0ms (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

Error

19.4b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.6b	(/.f64 A (*.f64 V l))
18.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite119.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

16×	`add-sqr-sqrt_binary64_782`
15×	`sqrt-prod_binary64_776`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-r_binary64_700`
9×	`times-frac_binary64_766`
6×	`pow1_binary64_821`
3×	`add-log-exp_binary64_799` `div-inv_binary64_757` `associate-/l_binary64_705` `associate-l*_binary64_701`
2×	`sqrt-div_binary64_777` `prod-exp_binary64_809` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r_binary64_704` `pow-prod-down_binary64_831` `associate-r/_binary64_702` `*-commutative_binary64_691`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 852 to 236 computations (72.3% saved)

series479.0ms (4.3%)

Error

19.4b

Counts

3 → 30

Calls

3 calls:

221.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
157.0ms	(/.f64 A (*.f64 V l))
98.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 798 to 726 computations (9% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune95.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	12	97

Error

9.7b

Counts

97 → 12

Compiler

Compiled 844 to 312 computations (63% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
3.8b	(*.f64 (/.f64 1 V) (/.f64 A l))
18.3b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite189.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

38×	`add-sqr-sqrt_binary64_782`
27×	`add-exp-log_binary64_798`
25×	`times-frac_binary64_766`
21×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
17×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
16×	`associate-l_binary64_701`
10×	`pow1_binary64_821`
9×	`prod-exp_binary64_809`
8×	`div-exp_binary64_811`
7×	`unswap-sqr_binary64_728`
6×	`sqrt-div_binary64_777` `associate-*r/_binary64_702`
5×	`cbrt-unprod_binary64_793`
4×	`cbrt-undiv_binary64_794`
3×	`add-log-exp_binary64_799` `pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-*l/_binary64_703`
2×	`sqrt-pow1_binary64_778` `sqrt-prod_binary64_776` `1-exp_binary64_804` `rec-exp_binary64_810` `div-inv_binary64_757` `*-commutative_binary64_691`
1×	`pow1/2_binary64_840`

Counts

3 → 92

Calls

3 calls:

15.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
6.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1512 to 806 computations (46.7% saved)

series491.0ms (4.4%)

Error

9.7b

Counts

3 → 30

Calls

3 calls:

230.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
161.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
95.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 798 to 726 computations (9% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5198	1376

prune135.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	121	13	134

Error

6.1b

Counts

134 → 13

Compiler

Compiled 1183 to 521 computations (56% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 A (*.f64 V l))
4.6b	(/.f64 A (*.f64 V l))
18.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite151.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-sqr-sqrt_binary64_782` `sqrt-prod_binary64_776`
12×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766` `*-un-lft-identity_binary64_760`
6×	`pow1_binary64_821` `associate-/l*_binary64_705`
4×	`add-log-exp_binary64_799` `div-inv_binary64_757` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `sqrt-div_binary64_777` `rem-sqrt-square_binary64_773` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r*_binary64_704`

Counts

4 → 78

Calls

4 calls:

4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1658 to 336 computations (79.7% saved)

series533.0ms (4.8%)

Error

6.1b

Counts

4 → 36

Calls

4 calls:

163.0ms	(/.f64 A (*.f64 V l))
162.0ms	(/.f64 A (*.f64 V l))
105.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
100.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1525 to 1074 computations (29.6% saved)

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune120.0ms (1.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	114	13	127

Error

6.1b

Counts

127 → 13

Compiler

Compiled 1473 to 399 computations (72.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 A (*.f64 V l))
4.6b	(/.f64 A (*.f64 V l))
21.1b	(cbrt.f64 (/.f64 A (*.f64 V l)))
21.1b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite137.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cbrt-prod_binary64_791`
12×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `times-frac_binary64_766` `*-un-lft-identity_binary64_760`
6×	`associate-/l*_binary64_705`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `div-inv_binary64_757` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
2×	`pow1/3_binary64_842` `cbrt-div_binary64_792` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r*_binary64_704`

Counts

4 → 74

Calls

4 calls:

5.0ms	(/.f64 A (*.f64 V l))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
3.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1570 to 342 computations (78.2% saved)

series1.5s (13.5%)

Error

6.1b

Counts

4 → 36

Calls

4 calls:

592.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
575.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
151.0ms	(/.f64 A (*.f64 V l))
148.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 1925 to 1345 computations (30.1% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4986	1136
1	4986	1136

prune116.0ms (1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	110	13	123

Error

6.1b

Counts

123 → 13

Compiler

Compiled 1423 to 338 computations (76.2% saved)

regimes4.2s (38.3%)

Accuracy

Total 4.6b remaining (46.9%)

Threshold costs 0b (0%)

Compiler

Compiled 25167 to 20414 computations (18.9% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	87
1	45	87

end13.0ms (0.1%)

Compiler: Compiled 171 to 102 computations (40.4% saved)

sample1.5s (13.4%)

Algorithm

1×

intervals

Results

314.0ms	8000×	body	128	valid
112.0ms	2947×	body	128	nan
40.0ms	895×	body	128	invalid

Compiler

Compiled 234 to 200 computations (14.5% saved)

Details

analyze790.0ms (7.1%)

sample39.0ms (0.4%)

simplify7.0ms (0.1%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite119.0ms (1.1%)

series479.0ms (4.3%)

simplify76.0ms (0.7%)

prune95.0ms (0.9%)

localize9.0ms (0.1%)

rewrite189.0ms (1.7%)

series491.0ms (4.4%)

simplify90.0ms (0.8%)

prune135.0ms (1.2%)

localize10.0ms (0.1%)

rewrite151.0ms (1.4%)

series533.0ms (4.8%)

simplify111.0ms (1%)

prune120.0ms (1.1%)

localize12.0ms (0.1%)

rewrite137.0ms (1.2%)

series1.5s (13.5%)

simplify98.0ms (0.9%)

prune116.0ms (1%)

regimes4.2s (38.3%)

bsearch6.0ms (0.1%)

simplify3.0ms (0%)

end13.0ms (0.1%)

sample1.5s (13.4%)

Profiling