Details

analyze489.0ms (7.1%)

Algorithm

1×

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	102×	body	128	nan
1.0ms	29×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify92.0ms (1.3%)

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

21.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

2.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
6.7b	(/.f64 A (*.f64 V l))
14.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite86.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

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)

series348.0ms (5%)

Error

21.1b

Counts

3 → 30

Calls

3 calls:

161.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
106.0ms	(/.f64 A (*.f64 V l))
67.0ms	(sqrt.f64 (/.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 (61.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune83.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	83	13	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	14	97

Error

8.2b

Counts

97 → 14

Compiler

Compiled 1266 to 366 computations (71.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
2.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
4.2b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
14.7b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite146.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

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))
15.0ms	(.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)

series483.0ms (7%)

Error

8.2b

Counts

4 → 33

Calls

4 calls:

177.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
129.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
84.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
75.0ms	(cbrt.f64 A)

Compiler

Compiled 1252 to 940 computations (24.9% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5074	1761

prune109.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	138	15	153

Error

5.4b

Counts

153 → 15

Compiler

Compiled 2244 to 724 computations (67.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

2.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
4.9b	(*.f64 (/.f64 1 V) (/.f64 A l))
14.7b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite115.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

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:

12.0ms	(*.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)

series354.0ms (5.1%)

Error

5.4b

Counts

3 → 30

Calls

3 calls:

166.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
106.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
69.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5198	1376

prune84.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	122	15	137

Error

5.4b

Counts

137 → 15

Compiler

Compiled 1667 to 599 computations (64.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.7b	(/.f64 A (*.f64 V l))
6.7b	(/.f64 A (*.f64 V l))
18.5b	(cbrt.f64 (/.f64 A (*.f64 V l)))
18.5b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cbrt-prod_binary64_1132`
12×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
6×	`associate-/l*_binary64_1046`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`pow1/3_binary64_1183` `cbrt-div_binary64_1133` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 74

Calls

4 calls:

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

Compiler

Compiled 1672 to 388 computations (76.8% saved)

series971.0ms (14.1%)

Error

5.4b

Counts

4 → 36

Calls

4 calls:

357.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
357.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
115.0ms	(/.f64 A (*.f64 V l))
115.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 2214 to 1354 computations (38.8% saved)

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4986	1136
1	4986	1136

prune82.0ms (1.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	110	15	125

Error

5.4b

Counts

125 → 15

Compiler

Compiled 2188 to 429 computations (80.4% saved)

regimes1.2s (18%)

Accuracy

Total 7.5b remaining (62.4%)

Threshold costs 0b (0%)

Compiler

Compiled 8786 to 5945 computations (32.3% saved)

bsearch3.0ms (0%)

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	52	115
1	52	115

end0.0ms (0%)

sample1.7s (24.7%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
101.0ms	2940×	body	128	nan
30.0ms	866×	body	128	invalid

Compiler

Compiled 1036 to 702 computations (32.2% saved)

Details

analyze489.0ms (7.1%)

sample33.0ms (0.5%)

simplify92.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite86.0ms (1.2%)

series348.0ms (5%)

simplify78.0ms (1.1%)

prune83.0ms (1.2%)

localize11.0ms (0.2%)

rewrite146.0ms (2.1%)

series483.0ms (7%)

simplify78.0ms (1.1%)

prune109.0ms (1.6%)

localize7.0ms (0.1%)

rewrite115.0ms (1.7%)

series354.0ms (5.1%)

simplify89.0ms (1.3%)

prune84.0ms (1.2%)

localize10.0ms (0.1%)

rewrite82.0ms (1.2%)

series971.0ms (14.1%)

simplify100.0ms (1.5%)

prune82.0ms (1.2%)

regimes1.2s (18%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (24.7%)

Profiling