Details

analyze724.0ms (10.4%)

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	101×	body	128	nan
1.0ms	26×	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

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

19.3b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.8b	(/.f64 A (*.f64 V l))
16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite83.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`sqrt-div_binary64_1118` `prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `*-commutative_binary64_1032`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 937 to 244 computations (74% saved)

series535.0ms (7.7%)

Error

19.3b

Counts

3 → 30

Calls

3 calls:

269.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
150.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
102.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune86.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	82	14	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	14	97

Error

9.3b

Counts

97 → 14

Compiler

Compiled 1268 to 372 computations (70.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
1.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
1.8b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
16.6b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite143.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

40×	`add-sqr-sqrt_binary64_1123`
28×	`times-frac_binary64_1107`
27×	`add-exp-log_binary64_1139`
26×	`associate-r_binary64_1041`
22×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
20×	`add-cbrt-cube_binary64_1137`
14×	`cbrt-prod_binary64_1132`
11×	`pow1_binary64_1162`
10×	`associate-l_binary64_1042`
9×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
6×	`sqrt-div_binary64_1118` `associate-*r/_binary64_1043`
4×	`add-log-exp_binary64_1140`
3×	`pow-prod-down_binary64_1172` `frac-times_binary64_1111` `associate-*l/_binary64_1044`
2×	`sqrt-pow1_binary64_1119` `sqrt-prod_binary64_1117` `div-inv_binary64_1098` `*-commutative_binary64_1032`
1×	`pow1/2_binary64_1181` `pow1/3_binary64_1183`

Counts

4 → 106

Calls

4 calls:

15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
12.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
8.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

Compiler

Compiled 2506 to 501 computations (80% saved)

series474.0ms (6.8%)

Error

9.3b

Counts

4 → 33

Calls

4 calls:

178.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
119.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
83.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
78.0ms	(cbrt.f64 A)

Compiler

Compiled 1252 to 940 computations (24.9% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5074	1761

prune110.0ms (1.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	139	14	153

Error

5.3b

Counts

153 → 14

Compiler

Compiled 2233 to 713 computations (68.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
3.9b	(*.f64 (/.f64 A V) (/.f64 1 l))
16.6b	(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))

rewrite121.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

38×	`add-sqr-sqrt_binary64_1123`
27×	`add-exp-log_binary64_1139`
25×	`times-frac_binary64_1107`
21×	`*-un-lft-identity_binary64_1101`
19×	`add-cube-cbrt_binary64_1136`
17×	`add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
16×	`associate-l_binary64_1042`
10×	`pow1_binary64_1162`
9×	`prod-exp_binary64_1150`
8×	`sqrt-div_binary64_1118` `div-exp_binary64_1152`
7×	`associate-*r/_binary64_1043` `unswap-sqr_binary64_1069`
5×	`cbrt-unprod_binary64_1134`
4×	`cbrt-undiv_binary64_1135`
3×	`add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `frac-times_binary64_1111` `un-div-inv_binary64_1099` `associate-*l/_binary64_1044`
2×	`sqrt-pow1_binary64_1119` `sqrt-prod_binary64_1117` `1-exp_binary64_1145` `rec-exp_binary64_1151` `div-inv_binary64_1098` `*-commutative_binary64_1032`
1×	`pow1/2_binary64_1181`

Counts

3 → 95

Calls

3 calls:

12.0ms	(*.f64 (/.f64 A V) (/.f64 1 l))
10.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
8.0ms	(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))

Compiler

Compiled 1611 to 855 computations (46.9% saved)

series341.0ms (4.9%)

Error

5.3b

Counts

3 → 30

Calls

3 calls:

154.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
105.0ms	(*.f64 (/.f64 A V) (/.f64 1 l))
70.0ms	(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5088	1394

prune83.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	126	13	139

Error

5.3b

Counts

139 → 13

Compiler

Compiled 1669 to 567 computations (66% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 A (*.f64 V l))
16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite93.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

21×	`sqrt-prod_binary64_1117`
15×	`add-sqr-sqrt_binary64_1123`
12×	`add-cube-cbrt_binary64_1136` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098`
3×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `sqrt-div_binary64_1118` `rem-sqrt-square_binary64_1114` `associate-/l*_binary64_1046`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 75

Calls

4 calls:

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

Compiler

Compiled 2290 to 375 computations (83.6% saved)

series365.0ms (5.2%)

Error

5.3b

Counts

4 → 36

Calls

4 calls:

114.0ms	(/.f64 A (*.f64 V l))
78.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
77.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
72.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 3141 to 1391 computations (55.7% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4962	1186
1	4962	1186

prune91.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	111	13	124

Error

5.3b

Counts

124 → 13

Compiler

Compiled 3100 to 401 computations (87.1% saved)

regimes1.2s (17.6%)

Accuracy

Total 2.6b remaining (31.2%)

Threshold costs 0b (0%)

Compiler

Compiled 9279 to 6290 computations (32.2% saved)

bsearch2.0ms (0%)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	108
1	45	108

Compiler

Compiled 142 to 72 computations (49.3% saved)

end0.0ms (0%)

sample2.0s (29%)

Algorithm

1×

intervals

Results

293.0ms	8000×	body	128	valid
104.0ms	2911×	body	128	nan
31.0ms	845×	body	128	invalid

Compiler

Compiled 1059 to 718 computations (32.2% saved)

Details

analyze724.0ms (10.4%)

sample40.0ms (0.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite83.0ms (1.2%)

series535.0ms (7.7%)

simplify78.0ms (1.1%)

prune86.0ms (1.2%)

localize11.0ms (0.2%)

rewrite143.0ms (2.1%)

series474.0ms (6.8%)

simplify82.0ms (1.2%)

prune110.0ms (1.6%)

localize8.0ms (0.1%)

rewrite121.0ms (1.7%)

series341.0ms (4.9%)

simplify95.0ms (1.4%)

prune83.0ms (1.2%)

localize14.0ms (0.2%)

rewrite93.0ms (1.3%)

series365.0ms (5.2%)

simplify114.0ms (1.6%)

prune91.0ms (1.3%)

regimes1.2s (17.6%)

bsearch2.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample2.0s (29%)

Profiling