Details

analyze4.0ms (0.1%)

Algorithm

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%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample73.0ms (1.7%)

Algorithm

1×

intervals

Results

45.0ms	135×	body	1024	valid
11.0ms	59×	body	512	valid
5.0ms	11×	body	2048	valid
4.0ms	40×	body	256	valid
1.0ms	11×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify266.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	5283	12

prune2.0ms (0.1%)

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

59.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1442`
52×	`add-sqr-sqrt_binary64_1464`
48×	`times-frac_binary64_1448`
30×	`log-prod_binary64_1528`
25×	`add-cube-cbrt_binary64_1477`
18×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out_binary64_1393`
9×	`distribute-lft-out--_binary64_1394`
7×	`add-exp-log_binary64_1480`
6×	`associate-/l*_binary64_1387`
4×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
3×	`pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `div-inv_binary64_1439` `rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493`
1×	`cbrt-undiv_binary64_1476` `clear-num_binary64_1441` `log-pow_binary64_1531` `flip3--_binary64_1446` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `log-div_binary64_1529`

Counts

2 → 92

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series63.0ms (1.4%)

Counts

2 → 14

Calls

2 calls:

38.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
25.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 161 to 155 computations (3.7% saved)

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5400	1921

prune151.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1560 to 1202 computations (22.9% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.1b	(*.f64 (pow.f64 eps 3) 2/3)
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.0b	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
0.0b	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1464`
15×	`associate-l_binary64_1383`
13×	`add-exp-log_binary64_1480`
10×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521`
7×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
6×	`prod-exp_binary64_1491`
4×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414`
3×	`diff-log_binary64_1534` `pow1_binary64_1503`
2×	`associate--l+_binary64_1379` `cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `*-commutative_binary64_1373` `pow-to-exp_binary64_1511`
1×	`associate--l-_binary64_1380` `cube-mult_binary64_1472` `flip3--_binary64_1446` `flip--_binary64_1417` `unpow3_binary64_1508`

Counts

3 → 72

Calls

6 calls:

8.0ms	(*.f64 (pow.f64 eps 3) 2/3)
7.0ms	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
5.0ms	(*.f64 2/5 (pow.f64 eps 5))
0.0ms	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
0.0ms	(*.f64 2/5 (pow.f64 eps 5))

series127.0ms (2.9%)

Counts

3 → 11

Calls

3 calls:

54.0ms	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
40.0ms	(*.f64 2/5 (pow.f64 eps 5))
33.0ms	(*.f64 (pow.f64 eps 3) 2/3)

Compiler

Compiled 259 to 228 computations (12% saved)

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5020	1091

prune99.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1624 to 1297 computations (20.1% saved)

localize11.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
5.7b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
5.8b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_1442`
102×	`log-prod_binary64_1528`
79×	`add-sqr-sqrt_binary64_1464`
72×	`times-frac_binary64_1448`
66×	`sqrt-prod_binary64_1458`
45×	`add-cube-cbrt_binary64_1477`
42×	`associate-+r+_binary64_1374`
22×	`distribute-lft-out_binary64_1393` `difference-of-squares_binary64_1411`
12×	`pow1_binary64_1503`
11×	`distribute-lft-out--_binary64_1394`
9×	`associate-+l+_binary64_1375`
8×	`log-pow_binary64_1531` `add-exp-log_binary64_1480`
6×	`sqrt-div_binary64_1459` `log-div_binary64_1529`
4×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388` `add-log-exp_binary64_1481`
3×	`rem-log-exp_binary64_1483` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`sqrt-pow1_binary64_1460` `div-inv_binary64_1439` `pow1/2_binary64_1522` `associate-+l-_binary64_1377`
1×	`associate-+r-_binary64_1376` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `+-commutative_binary64_1372` `div-exp_binary64_1493`

Counts

4 → 162

Calls

8 calls:

19.0ms	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
9.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(sqrt.f64 (-.f64 1 eps))
0.0ms	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))

series163.0ms (3.7%)

Counts

4 → 24

Calls

4 calls:

78.0ms	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
41.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
26.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
18.0ms	(sqrt.f64 (-.f64 1 eps))

Compiler

Compiled 566 to 487 computations (14% saved)

simplify113.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4881	3556
1	4881	3556

prune243.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	186	2	188

Error

Counts

188 → 2

Compiler

Compiled 3908 to 3136 computations (19.8% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	232	556
1	232	556

regimes43.0ms (1%)

Compiler: Compiled 359 to 304 computations (15.3% saved)

bsearch0.0ms (0%)

regimes11.0ms (0.2%)

Compiler: Compiled 25 to 26 computations (-4% saved)

bsearch0.0ms (0%)

regimes11.0ms (0.3%)

Compiler: Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

Accuracy

Total 0.2b remaining (95.9%)

Threshold costs 0.2b (95.9%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 31 to 28 computations (9.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	44
1	100	44

end0.0ms (0%)

sample2.7s (61.4%)

Algorithm

1×

intervals

Results

1.3s	4034×	body	1024	valid
373.0ms	1976×	body	512	valid
185.0ms	378×	body	2048	valid
110.0ms	1010×	body	256	valid
30.0ms	602×	body	128	valid

Compiler

Compiled 412 to 352 computations (14.6% saved)

Pareto

0.9742795147505391

Details

analyze4.0ms (0.1%)

sample73.0ms (1.7%)

simplify266.0ms (6.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite25.0ms (0.6%)

series63.0ms (1.4%)

simplify76.0ms (1.7%)

prune151.0ms (3.4%)

localize10.0ms (0.2%)

rewrite26.0ms (0.6%)

series127.0ms (2.9%)

simplify89.0ms (2%)

prune99.0ms (2.3%)

localize11.0ms (0.3%)

rewrite54.0ms (1.2%)

series163.0ms (3.7%)

simplify113.0ms (2.6%)

prune243.0ms (5.5%)

simplify12.0ms (0.3%)

regimes43.0ms (1%)

bsearch0.0ms (0%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (61.4%)

Profiling