Details

analyze756.0ms (8.2%)

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)

sample41.0ms (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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune3.0ms (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

19.4b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (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)))

rewrite87.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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:

7.0ms	(.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 937 to 244 computations (74% saved)

series484.0ms (5.3%)

Error

19.4b

Counts

3 → 30

Calls

3 calls:

216.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
161.0ms	(/.f64 A (*.f64 V l))
92.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune93.0ms (1%)

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 1240 to 351 computations (71.7% saved)

localize8.0ms (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)))

rewrite132.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

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×	`div-exp_binary64_1152`
7×	`unswap-sqr_binary64_1069`
6×	`sqrt-div_binary64_1118` `associate-*r/_binary64_1043`
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` `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 → 92

Calls

3 calls:

11.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
5.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1585 to 849 computations (46.4% saved)

series480.0ms (5.2%)

Error

9.7b

Counts

3 → 30

Calls

3 calls:

208.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
164.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
94.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5198	1376

prune104.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	120	14	134

Error

6.1b

Counts

134 → 14

Compiler

Compiled 1663 to 592 computations (64.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite250.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

213×	`times-frac_binary64_1107`
134×	`add-sqr-sqrt_binary64_1123`
117×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
89×	`sqrt-prod_binary64_1117`
46×	`associate-r_binary64_1041`
13×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162`
4×	`unswap-sqr_binary64_1069`
3×	`add-log-exp_binary64_1140` `rem-sqrt-square_binary64_1114` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r_binary64_1045` `associate-l*_binary64_1042`
2×	`sqrt-div_binary64_1118`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-r/_binary64_1043` `-commutative_binary64_1032`

Counts

3 → 191

Calls

3 calls:

16.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
7.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
6.0ms	(/.f64 (/.f64 A V) l)

Compiler

Compiled 3504 to 961 computations (72.6% saved)

series471.0ms (5.1%)

Error

6.1b

Counts

3 → 30

Calls

3 calls:

224.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
143.0ms	(/.f64 (/.f64 A V) l)
90.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4917	3725
1	4917	3725

prune197.0ms (2.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	210	11	221
Fresh	6	6	12
Picked	1	0	1
Done	0	1	1
Total	217	18	235

Error

0.1b

Counts

235 → 18

Compiler

Compiled 3709 to 980 computations (73.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 l)
0.5b	(cbrt.f64 l)
0.5b	(cbrt.f64 A)
0.5b	(cbrt.f64 A)

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`pow1/3_binary64_1183` `pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 l)

Compiler

Compiled 1108 to 237 computations (78.6% saved)

series451.0ms (4.9%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 A)
110.0ms	(cbrt.f64 l)
105.0ms	(cbrt.f64 l)
101.0ms	(cbrt.f64 A)

Compiler

Compiled 852 to 540 computations (36.6% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune59.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	3	13	16
Picked	1	0	1
Done	0	1	1
Total	54	20	74

Error

0.0b

Counts

74 → 20

Compiler

Compiled 1340 to 266 computations (80.1% saved)

regimes2.0s (21.3%)

Accuracy

Total 1.1b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 20053 to 14013 computations (30.1% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

sample3.2s (34.4%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
107.0ms	2947×	body	128	nan
37.0ms	895×	body	128	invalid

Compiler

Compiled 2351 to 1655 computations (29.6% saved)

Details

analyze756.0ms (8.2%)

sample41.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite87.0ms (0.9%)

series484.0ms (5.3%)

simplify76.0ms (0.8%)

prune93.0ms (1%)

localize8.0ms (0.1%)

rewrite132.0ms (1.4%)

series480.0ms (5.2%)

simplify86.0ms (0.9%)

prune104.0ms (1.1%)

localize9.0ms (0.1%)

rewrite250.0ms (2.7%)

series471.0ms (5.1%)

simplify123.0ms (1.3%)

prune197.0ms (2.1%)

localize13.0ms (0.1%)

rewrite60.0ms (0.6%)

series451.0ms (4.9%)

simplify83.0ms (0.9%)

prune59.0ms (0.6%)

regimes2.0s (21.3%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample3.2s (34.4%)

Profiling