Details

analyze183.0ms (9.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	29
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample21.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify89.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite131.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64_1464`
25×	`associate-l_binary64_1383`
22×	`times-frac_binary64_1448`
18×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
17×	`sqrt-prod_binary64_1458`
12×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`pow1_binary64_1503`
7×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
5×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`pow-prod-down_binary64_1513` `sqrt-div_binary64_1459`
2×	`add-log-exp_binary64_1481` `-commutative_binary64_1373` `flip3--_binary64_1446` `frac-times_binary64_1452` `flip--_binary64_1417` `associate-r/_binary64_1384`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-*l/_binary64_1385` `div-inv_binary64_1439`

Counts

2 → 71

Calls

2 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
7.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 2072 to 1530 computations (26.2% saved)

series97.0ms (4.8%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

57.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 470 to 402 computations (14.5% saved)

simplify73.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5358	1584

prune110.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 2077 to 1546 computations (25.6% saved)

localize15.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
1.0b	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (*.f64 1/4 (sqrt.f64 2)))))

rewrite166.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`sqrt-prod_binary64_1458`
28×	`associate-l_binary64_1383`
19×	`pow1_binary64_1503`
18×	`add-sqr-sqrt_binary64_1464` `times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`pow-prod-down_binary64_1513`
12×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`sqrt-div_binary64_1459`
6×	`sqrt-pow1_binary64_1460` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
5×	`associate-*l/_binary64_1385`
3×	`pow1/2_binary64_1522`
2×	`add-log-exp_binary64_1481` `sqrt-unprod_binary64_1462` `flip3--_binary64_1446` `frac-times_binary64_1452` `flip--_binary64_1417` `associate-r/_binary64_1384` `associate-r_binary64_1382` `-commutative_binary64_1373`
1×	`div-inv_binary64_1439` `unswap-sqr_binary64_1410`

Counts

2 → 68

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (*.f64 1/4 (sqrt.f64 2)))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 2421 to 1933 computations (20.2% saved)

series100.0ms (5%)

Error

Counts

2 → 9

Calls

2 calls:

59.0ms	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (*.f64 1/4 (sqrt.f64 2)))))
30.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 533 to 465 computations (12.8% saved)

simplify80.0ms (4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5000	1876

prune135.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

Counts

79 → 2

Compiler

Compiled 2374 to 1898 computations (20.1% saved)

regimes44.0ms (2.2%)

Accuracy

Total 0.0b remaining (83.1%)

Threshold costs 0.0b (83.1%)

Compiler

Compiled 400 to 327 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	28
1	38	28

end0.0ms (0%)

sample749.0ms (37.2%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 157 to 129 computations (17.8% saved)

Details

analyze183.0ms (9.1%)

sample21.0ms (1%)

simplify89.0ms (4.4%)

prune3.0ms (0.2%)

localize11.0ms (0.5%)

rewrite131.0ms (6.5%)

series97.0ms (4.8%)

simplify73.0ms (3.7%)

prune110.0ms (5.5%)

localize15.0ms (0.8%)

rewrite166.0ms (8.3%)

series100.0ms (5%)

simplify80.0ms (4%)

prune135.0ms (6.7%)

regimes44.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample749.0ms (37.2%)

Profiling