Details

analyze222.0ms (0.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample27.0ms (0.1%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune5.0ms (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

0.4b

Counts

2 → 2

Compiler

Compiled 80 to 61 computations (23.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.3b	(*.f64 PI.f64 t)
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite231.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
18×	`associate-*r/_binary64_1384`
16×	`pow1_binary64_1503`
13×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417` `associate-r_binary64_1382` `associate-/r/_binary64_1388`
7×	`pow-prod-down_binary64_1513` `associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-times_binary64_1452`
3×	`-commutative_binary64_1373` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`unswap-sqr_binary64_1410` `associate-/l/_binary64_1389` `associate-*l/_binary64_1385`
1×	`sqrt-prod_binary64_1458` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 94

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3847 to 2282 computations (40.7% saved)

series625.0ms (2.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

369.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
171.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
25.0ms	(.f64 5 (.f64 v v))
23.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1918 to 1513 computations (21.1% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	3150
1	4963	3150

prune210.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Error

0.1b

Counts

120 → 10

Compiler

Compiled 4458 to 2783 computations (37.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
0.3b	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite231.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-*r/_binary64_1384`
16×	`pow1_binary64_1503`
13×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `sqrt-div_binary64_1459`
9×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-l_binary64_1383`
8×	`associate-/r/_binary64_1388`
7×	`pow-prod-down_binary64_1513`
6×	`associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-times_binary64_1452`
3×	`-commutative_binary64_1373` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`unswap-sqr_binary64_1410` `associate-/l/_binary64_1389` `associate-*l/_binary64_1385`
1×	`sqrt-prod_binary64_1458` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 96

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
8.0ms	(.f64 5 (.f64 v v))
8.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 4021 to 2519 computations (37.4% saved)

series754.0ms (3.2%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

379.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
166.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
142.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
26.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 2398 to 1901 computations (20.7% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5168	3615

prune232.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	126	10	136

Error

0.1b

Counts

136 → 10

Compiler

Compiled 4749 to 3086 computations (35% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 1 (/.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))
0.3b	(*.f64 t PI.f64)
0.5b	(.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite636.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

222×	`times-frac_binary64_1448`
90×	`add-sqr-sqrt_binary64_1464`
89×	`add-exp-log_binary64_1480`
87×	`*-un-lft-identity_binary64_1442`
75×	`add-cube-cbrt_binary64_1477`
45×	`add-cbrt-cube_binary64_1478`
41×	`div-exp_binary64_1493`
26×	`associate-/r*_binary64_1386`
25×	`prod-exp_binary64_1491`
24×	`difference-of-squares_binary64_1411`
17×	`pow1_binary64_1503`
16×	`cbrt-undiv_binary64_1476`
13×	`cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388`
10×	`associate-r_binary64_1382`
9×	`div-inv_binary64_1439`
7×	`pow-prod-down_binary64_1513` `1-exp_binary64_1486` `rec-exp_binary64_1492`
5×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `associate-*r/_binary64_1384`
3×	`-commutative_binary64_1373` `associate-/l_binary64_1387`
2×	`sqrt-div_binary64_1459` `unswap-sqr_binary64_1410`
1×	`sqrt-prod_binary64_1458` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `clear-num_binary64_1441`

Counts

4 → 206

Calls

4 calls:

20.0ms	(/.f64 1 (/.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))
11.0ms	(.f64 (.f64 v v) 5)
10.0ms	(.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 9380 to 5970 computations (36.4% saved)

series628.0ms (2.6%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

383.0ms	(/.f64 1 (/.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 v v)))))
166.0ms	(.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
27.0ms	(.f64 (.f64 v v) 5)
20.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2000 to 1594 computations (20.3% saved)

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	9900
1	4970	9900

prune593.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	232	8	240

Error

0.0b

Counts

240 → 8

Compiler

Compiled 9458 to 6038 computations (36.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 1 (*.f64 t PI.f64))
0.3b	(*.f64 t PI.f64)
0.4b	(/.f64 (/.f64 1 (.f64 t PI.f64)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v)))))

rewrite5.3s (22.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2048×	`times-frac_binary64_1448`
752×	`add-sqr-sqrt_binary64_1464`
749×	`*-un-lft-identity_binary64_1442`
653×	`add-cube-cbrt_binary64_1477`
192×	`difference-of-squares_binary64_1411`
168×	`sqrt-prod_binary64_1458`
132×	`div-inv_binary64_1439`
100×	`add-exp-log_binary64_1480`
90×	`associate-/r*_binary64_1386`
73×	`associate-/r/_binary64_1388`
58×	`div-exp_binary64_1493`
52×	`add-cbrt-cube_binary64_1478`
32×	`flip3--_binary64_1446` `flip--_binary64_1417`
26×	`cbrt-undiv_binary64_1476`
16×	`prod-exp_binary64_1491`
14×	`pow1_binary64_1503`
10×	`associate-/l*_binary64_1387`
8×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-unprod_binary64_1475`
6×	`associate-r_binary64_1382`
5×	`pow-prod-down_binary64_1513`
4×	`add-log-exp_binary64_1481` `associate-l_binary64_1383`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `pow-flip_binary64_1516`
1×	`associate-/l/_binary64_1389` `inv-pow_binary64_1527`

Counts

4 → 826

Calls

4 calls:

42.0ms	(/.f64 (/.f64 1 (.f64 t PI.f64)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v)))))
6.0ms	(.f64 (.f64 v v) 5)
5.0ms	(/.f64 1 (*.f64 t PI.f64))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 47730 to 31909 computations (33.1% saved)

series472.0ms (2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

369.0ms	(/.f64 (/.f64 1 (.f64 t PI.f64)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v)))))
29.0ms	(/.f64 1 (*.f64 t PI.f64))
29.0ms	(.f64 (.f64 v v) 5)
22.0ms	(*.f64 t PI.f64)

Compiler

Compiled 1464 to 1165 computations (20.4% saved)

simplify483.0ms (2%)

Algorithm

1×	egg-herbie

Counts

844 → 844

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5288	63284

prune4.7s (19.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	841	3	844
Fresh	6	0	6
Picked	0	1	1
Done	0	1	1
Total	847	5	852

Error

Counts

852 → 5

Compiler

Compiled 45500 to 30255 computations (33.5% saved)

regimes2.3s (9.5%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 40695 to 30284 computations (25.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	58
1	83	58

end0.0ms (0%)

sample5.9s (24.6%)

Algorithm

1×

intervals

Results

526.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 7898 to 5894 computations (25.4% saved)

Details

analyze222.0ms (0.9%)

sample27.0ms (0.1%)

simplify52.0ms (0.2%)

prune5.0ms (0%)

localize18.0ms (0.1%)

rewrite231.0ms (1%)

series625.0ms (2.6%)

simplify80.0ms (0.3%)

prune210.0ms (0.9%)

localize15.0ms (0.1%)

rewrite231.0ms (1%)

series754.0ms (3.2%)

simplify68.0ms (0.3%)

prune232.0ms (1%)

localize16.0ms (0.1%)

rewrite636.0ms (2.7%)

series628.0ms (2.6%)

simplify135.0ms (0.6%)

prune593.0ms (2.5%)

localize16.0ms (0.1%)

rewrite5.3s (22.2%)

series472.0ms (2%)

simplify483.0ms (2%)

prune4.7s (19.7%)

regimes2.3s (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.9s (24.6%)

Profiling