Details

analyze163.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	20
1	274	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_1464`
3×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-l_binary64_1383` `associate-r*_binary64_1382`
2×	`sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `associate-*r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `flip3--_binary64_1446` `flip--_binary64_1417` `*-commutative_binary64_1373`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 340 to 177 computations (47.9% saved)

series96.0ms (1.8%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

89.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 186 to 150 computations (19.4% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5098	396

prune31.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Error

0.0b

Counts

37 → 7

Compiler

Compiled 465 to 169 computations (63.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite157.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524` `flip3--_binary64_1446` `flip--_binary64_1417`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 2834 to 1635 computations (42.3% saved)

series803.0ms (15.4%)

Error

0.0b

Counts

4 → 73

Calls

4 calls:

204.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
162.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
161.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
155.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 6438 to 4615 computations (28.3% saved)

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4949	3149
1	4949	3149

prune208.0ms (4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	158	9	167

Error

0.0b

Counts

167 → 9

Compiler

Compiled 4643 to 2555 computations (45% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 6)

rewrite161.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`cbrt-prod_binary64_1473`
13×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
10×	`cbrt-div_binary64_1474`
9×	`unpow-prod-down_binary64_1521`
5×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
4×	`pow1/3_binary64_1524` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`pow-unpow_binary64_1519` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`pow-pow_binary64_1514`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `sqr-pow_binary64_1414`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 6)
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 2979 to 1900 computations (36.2% saved)

series1.2s (23.5%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

532.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 6)
184.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
183.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
166.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))

Compiler

Compiled 8200 to 5748 computations (29.9% saved)

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4968	2635
1	4968	2635

prune307.0ms (5.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	141	9	150

Error

0.0b

Counts

150 → 9

Compiler

Compiled 5759 to 3548 computations (38.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite69.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1378 to 453 computations (67.1% saved)

series331.0ms (6.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)
68.0ms	(cbrt.f64 x)

Compiler

Compiled 591 to 419 computations (29.1% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune64.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Error

0.0b

Counts

94 → 9

Compiler

Compiled 1403 to 556 computations (60.4% saved)

regimes198.0ms (3.8%)

Accuracy

Total 0.1b remaining (93.1%)

Threshold costs 0.1b (93.1%)

Compiler

Compiled 2092 to 1414 computations (32.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	10
1	67	10

end0.0ms (0%)

sample967.0ms (18.6%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	128	valid
2.0ms	90×	body	128	invalid

Compiler

Compiled 677 to 458 computations (32.3% saved)

Details

analyze163.0ms (3.1%)

sample13.0ms (0.3%)

simplify15.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite34.0ms (0.7%)

series96.0ms (1.8%)

simplify61.0ms (1.2%)

prune31.0ms (0.6%)

localize9.0ms (0.2%)

rewrite157.0ms (3%)

series803.0ms (15.4%)

simplify91.0ms (1.8%)

prune208.0ms (4%)

localize13.0ms (0.3%)

rewrite161.0ms (3.1%)

series1.2s (23.5%)

simplify88.0ms (1.7%)

prune307.0ms (5.9%)

localize8.0ms (0.2%)

rewrite69.0ms (1.3%)

series331.0ms (6.4%)

simplify78.0ms (1.5%)

prune64.0ms (1.2%)

regimes198.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample967.0ms (18.6%)

Profiling