Details

analyze1.5s (28.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

Compiler

Compiled 32 to 29 computations (9.4% saved)

sample44.0ms (0.9%)

Algorithm

1×

intervals

Results

27.0ms

256×

body

128

valid

Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify162.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4984	44
1	4984	44

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 58 to 52 computations (10.3% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

rewrite69.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`*-un-lft-identity_binary64_1442`
54×	`times-frac_binary64_1448`
53×	`add-sqr-sqrt_binary64_1464`
37×	`add-cube-cbrt_binary64_1477`
36×	`distribute-lft-out--_binary64_1394`
17×	`associate-/l*_binary64_1387` `distribute-lft-out_binary64_1393`
10×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
8×	`difference-of-squares_binary64_1411`
6×	`add-log-exp_binary64_1481`
4×	`associate-/l/_binary64_1389` `pow1_binary64_1503`
3×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `div-exp_binary64_1493`
2×	`associate-/r/_binary64_1388` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 137

Calls

4 calls:

16.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
13.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
12.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
12.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))

series435.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
86.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
59.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
55.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4973	3437
1	4973	3437

prune194.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	148	2	150

Merged error: 0.0b

Counts

150 → 2

Compiler

Compiled 5574 to 1638 computations (70.6% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)))))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.1b	(/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)
0.1b	(*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT))

rewrite98.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

179×	`*-un-lft-identity_binary64_1442`
103×	`add-sqr-sqrt_binary64_1464`
97×	`times-frac_binary64_1448`
63×	`add-cube-cbrt_binary64_1477`
61×	`sqrt-prod_binary64_1458`
48×	`distribute-lft-out--_binary64_1394`
34×	`associate-r_binary64_1382`
28×	`distribute-lft-out_binary64_1393`
20×	`associate-/l*_binary64_1387`
15×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
12×	`difference-of-squares_binary64_1411`
10×	`associate-/r_binary64_1386` `associate-l*_binary64_1383`
6×	`sqrt-div_binary64_1459` `pow1_binary64_1503` `unswap-sqr_binary64_1410`
4×	`cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `div-inv_binary64_1439` `flip3--_binary64_1446` `add-log-exp_binary64_1481` `flip--_binary64_1417` `div-exp_binary64_1493`
3×	`clear-num_binary64_1441` `frac-2neg_binary64_1453`
2×	`cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388` `frac-times_binary64_1452` `prod-exp_binary64_1491` `associate-*l/_binary64_1385`
1×	`associate-r/_binary64_1384` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447`

Counts

4 → 204

Calls

4 calls:

37.0ms	(*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT))
13.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)
12.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
5.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)))))

series536.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)))))
186.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT)
60.0ms	(*.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) (/.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)) KbT))
54.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify135.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4979	5268
1	4979	5268

prune269.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	2	218

Merged error: 0.0b

Counts

218 → 2

Compiler

Compiled 9822 to 2315 computations (76.4% saved)

regimes229.0ms (4.4%)

Compiler: Compiled 2440 to 2258 computations (7.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	223	44
1	223	44

end0.0ms (0%)

sample1.4s (26.6%)

Algorithm

1×

intervals

Results

713.0ms	7999×	body	128	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 297 to 268 computations (9.8% saved)

Details

analyze1.5s (28.2%)

sample44.0ms (0.9%)

simplify162.0ms (3.1%)

prune5.0ms (0.1%)

localize26.0ms (0.5%)

rewrite69.0ms (1.3%)

series435.0ms (8.4%)

simplify95.0ms (1.8%)

prune194.0ms (3.8%)

localize22.0ms (0.4%)

rewrite98.0ms (1.9%)

series536.0ms (10.4%)

simplify135.0ms (2.6%)

prune269.0ms (5.2%)

regimes229.0ms (4.4%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.4s (26.6%)

Profiling