Details

analyze467.0ms (9.2%)

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)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	106×	body	128	nan
1.0ms	30×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify96.0ms (1.9%)

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

Merged error: 21.8b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.4b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
7.5b	(/.f64 A (*.f64 V l))
14.5b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
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×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

3 → 66

Calls

3 calls:

12.0ms	(.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)))

series103.0ms (2%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
33.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4793	857
1	4793	857

prune77.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	59	16	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	16	76

Merged error: 6.2b

Counts

76 → 16

Compiler

Compiled 1079 to 386 computations (64.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
4.3b	(/.f64 (/.f64 A V) l)
14.5b	(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`times-frac_binary64_1107`
134×	`add-sqr-sqrt_binary64_1123`
117×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
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×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-l_binary64_1042` `associate-/r*_binary64_1045`
2×	`sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

3 → 191

Calls

3 calls:

17.0ms	(*.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)

series104.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
36.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
18.0ms	(/.f64 (/.f64 A V) l)

simplify111.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4949	3477
1	4949	3477

prune171.0ms (3.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	189	11	200
Fresh	8	7	15
Picked	0	1	1
Done	0	0	0
Total	197	19	216

Merged error: 0.0b

Counts

216 → 19

Compiler

Compiled 3522 to 985 computations (72% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

series323.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 l)
81.0ms	(cbrt.f64 A)
80.0ms	(cbrt.f64 l)
76.0ms	(cbrt.f64 A)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5087	340

prune71.0ms (1.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	54	21	75

Merged error: 0.0b

Counts

75 → 21

Compiler

Compiled 1676 to 541 computations (67.7% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `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 A)
1.0ms	(cbrt.f64 A)

series338.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 A)
84.0ms	(cbrt.f64 A)
84.0ms	(cbrt.f64 A)
79.0ms	(cbrt.f64 A)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4962	340
1	4962	340

prune62.0ms (1.2%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	18	18
Picked	0	1	1
Done	0	2	2
Total	56	21	77

Merged error: 0.0b

Counts

77 → 21

Compiler

Compiled 1856 to 397 computations (78.6% saved)

regimes980.0ms (19.3%)

Compiler: Compiled 10368 to 7682 computations (25.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

end0.0ms (0%)

sample1.8s (35.8%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
102.0ms	2864×	body	128	nan
30.0ms	856×	body	128	invalid

Compiler

Compiled 1230 to 908 computations (26.2% saved)

Details

analyze467.0ms (9.2%)

sample27.0ms (0.5%)

simplify96.0ms (1.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite24.0ms (0.5%)

series103.0ms (2%)

simplify98.0ms (1.9%)

prune77.0ms (1.5%)

localize6.0ms (0.1%)

rewrite49.0ms (1%)

series104.0ms (2.1%)

simplify111.0ms (2.2%)

prune171.0ms (3.4%)

localize16.0ms (0.3%)

rewrite8.0ms (0.2%)

series323.0ms (6.4%)

simplify32.0ms (0.6%)

prune71.0ms (1.4%)

localize19.0ms (0.4%)

rewrite9.0ms (0.2%)

series338.0ms (6.7%)

simplify55.0ms (1.1%)

prune62.0ms (1.2%)

regimes980.0ms (19.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (35.8%)

Profiling