Details

analyze1.5s (12.4%)

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
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
8.0ms	160×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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: 0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_1481`
10×	`sum-log_binary64_1533`
3×	`add-cbrt-cube_binary64_1478` `+-commutative_binary64_1372` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
2×	`associate-+l+_binary64_1375`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series959.0ms (8%)

Counts

3 → 108

Calls

3 calls:

508.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
306.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
144.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2074 to 2270 computations (-9.5% saved)

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5314	2237

prune92.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Merged error: 0.0b

Counts

147 → 3

Compiler

Compiled 2203 to 300 computations (86.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
33.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
10×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481`
6×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `cube-div_binary64_1471`
3×	`pow-unpow_binary64_1519`
2×	`cube-mult_binary64_1472` `sum-log_binary64_1533` `cbrt-div_binary64_1474` `+-commutative_binary64_1372` `sqr-pow_binary64_1414` `unpow3_binary64_1508`
1×	`pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514`

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series873.0ms (7.3%)

Counts

4 → 127

Calls

4 calls:

302.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
261.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
156.0ms	(+.f64 (.f64 x y) (.f64 z t))
153.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

Compiler

Compiled 3374 to 3336 computations (1.1% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5008	3601

prune165.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	197	3	200

Merged error: 0.0b

Counts

200 → 3

Compiler

Compiled 4285 to 1151 computations (73.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
0.1b	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.1b	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.3b	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))

rewrite59.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1464`
24×	`sqrt-prod_binary64_1458`
21×	`pow1_binary64_1503`
16×	`sqrt-div_binary64_1459`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`sqrt-pow1_binary64_1460` `pow1/2_binary64_1522`
9×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
8×	`swap-sqr_binary64_1409`
6×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480`
5×	`pow-prod-up_binary64_1512`
4×	`rem-sqrt-square_binary64_1455` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
3×	`sum-log_binary64_1533` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415`
2×	`associate-r/_binary64_1384` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `sqr-abs_binary64_1457` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `sqrt-unprod_binary64_1462` `prod-exp_binary64_1491` `rem-square-sqrt_binary64_1454` `associate-+r+_binary64_1374`

Counts

4 → 101

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
9.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
8.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
7.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))

series1.7s (14%)

Counts

4 → 152

Calls

4 calls:

516.0ms	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
426.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
409.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
326.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 7826 to 5708 computations (27.1% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5139	6124

prune201.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	252	4	256

Merged error: 0.0b

Counts

256 → 4

Compiler

Compiled 7880 to 722 computations (90.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.5b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.5b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.5b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/3_binary64_1524`
6×	`associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series3.2s (27.1%)

Counts

4 → 123

Calls

4 calls:

1.4s	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
623.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
603.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
597.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

Compiler

Compiled 19193 to 10793 computations (43.8% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5423	7321

prune318.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	211	3	214

Merged error: 0b

Counts

214 → 3

Compiler

Compiled 14246 to 1912 computations (86.6% saved)

regimes604.0ms (5.1%)

Compiler: Compiled 8236 to 5333 computations (35.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample1.7s (14%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	128	valid
282.0ms	5536×	body	128	invalid

Compiler

Compiled 573 to 376 computations (34.4% saved)

Details

analyze1.5s (12.4%)

sample42.0ms (0.3%)

simplify98.0ms (0.8%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite23.0ms (0.2%)

series959.0ms (8%)

simplify60.0ms (0.5%)

prune92.0ms (0.8%)

localize16.0ms (0.1%)

rewrite29.0ms (0.2%)

series873.0ms (7.3%)

simplify62.0ms (0.5%)

prune165.0ms (1.4%)

localize15.0ms (0.1%)

rewrite59.0ms (0.5%)

series1.7s (14%)

simplify76.0ms (0.6%)

prune201.0ms (1.7%)

localize21.0ms (0.2%)

rewrite56.0ms (0.5%)

series3.2s (27.1%)

simplify100.0ms (0.8%)

prune318.0ms (2.7%)

regimes604.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (14%)

Profiling