Details

analyze185.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4920	34
1	4920	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune4.0ms (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

14.8b

Counts

2 → 2

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
31.5b	(/.f64 (.f64 b b) (.f64 a a))

rewrite46.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`prod-exp_binary64_1491` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464`
3×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `sqrt-prod_binary64_1458`
2×	`add-log-exp_binary64_1481`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 640 to 268 computations (58.1% saved)

series168.0ms (5.9%)

Error

14.8b

Counts

2 → 12

Calls

2 calls:

91.0ms	(/.f64 (.f64 b b) (.f64 a a))
68.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify89.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune42.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Error

Counts

48 → 2

Compiler

Compiled 583 to 377 computations (35.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
4.3b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite101.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_1521`
22×	`add-sqr-sqrt_binary64_1464`
21×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
19×	`log-pow_binary64_1531`
18×	`exp-prod_binary64_1494` `times-frac_binary64_1448`
6×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
3×	`log-prod_binary64_1528` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `pow-unpow_binary64_1519` `sqrt-prod_binary64_1458`
2×	`div-inv_binary64_1439` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `pow-exp_binary64_1510`
1×	`rem-log-exp_binary64_1483` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `div-exp_binary64_1493` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

3 → 72

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1364 to 943 computations (30.9% saved)

series352.0ms (12.3%)

Error

Counts

3 → 18

Calls

3 calls:

195.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
74.0ms	(pow.f64 (/.f64 b a) 2)
69.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 630 to 588 computations (6.7% saved)

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5039	948

prune79.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 2

Compiler

Compiled 1278 to 842 computations (34.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
14.4b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

rewrite56.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
5×	`add-log-exp_binary64_1481`
4×	`pow1_binary64_1503` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
3×	`difference-of-squares_binary64_1411` `sqrt-prod_binary64_1458`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`

Counts

3 → 52

Calls

3 calls:

7.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
4.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 1164 to 244 computations (79% saved)

series368.0ms (12.9%)

Error

Counts

3 → 30

Calls

3 calls:

174.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
93.0ms	(-.f64 (.f64 a a) (.f64 b b))
77.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 870 to 747 computations (14.1% saved)

simplify53.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4937	1189
1	4937	1189

prune58.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 1250 to 388 computations (69% saved)

regimes157.0ms (5.5%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Compiler

Compiled 1109 to 902 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample912.0ms (31.9%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
150.0ms	8000×	pre	128	true
2.0ms	121×	pre	128	false

Compiler

Compiled 144 to 121 computations (16% saved)

Details

analyze185.0ms (6.5%)

sample25.0ms (0.9%)

simplify74.0ms (2.6%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite46.0ms (1.6%)

series168.0ms (5.9%)

simplify89.0ms (3.1%)

prune42.0ms (1.5%)

localize9.0ms (0.3%)

rewrite101.0ms (3.5%)

series352.0ms (12.3%)

simplify61.0ms (2.1%)

prune79.0ms (2.8%)

localize9.0ms (0.3%)

rewrite56.0ms (2%)

series368.0ms (12.9%)

simplify53.0ms (1.9%)

prune58.0ms (2%)

regimes157.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample912.0ms (31.9%)

Profiling