Details

analyze204.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample102.0ms (1.3%)

Algorithm

1×

intervals

Results

43.0ms	78×	body	1024	valid
17.0ms	132×	body	128	valid
12.0ms	30×	body	512	valid
9.0ms	256×	pre	128	true
4.0ms	16×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune6.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1464`
12×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`pow1_binary64_1503`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
3×	`associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
2×	`cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`
1×	`div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

3 → 59

Calls

3 calls:

21.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
9.0ms	(*.f64 e (sin.f64 v))
9.0ms	(*.f64 e (cos.f64 v))

series482.0ms (5.9%)

Counts

3 → 23

Calls

3 calls:

247.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
119.0ms	(*.f64 e (sin.f64 v))
116.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 585 to 460 computations (21.4% saved)

simplify214.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4954	1070
1	4954	1070

prune153.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Error

0.0b

Counts

83 → 7

Compiler

Compiled 1345 to 526 computations (60.9% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (pow.f64 (cos.f64 v) 2))
0.3b	(pow.f64 (cos.f64 v) 2)

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1464`
14×	`associate-r_binary64_1382` `add-exp-log_binary64_1480`
13×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`add-cbrt-cube_binary64_1478`
9×	`associate-l_binary64_1383` `pow1_binary64_1503`
7×	`unpow-prod-down_binary64_1521`
6×	`unswap-sqr_binary64_1410`
5×	`prod-exp_binary64_1491`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-unprod_binary64_1475` `unpow2_binary64_1507` `pow-unpow_binary64_1519` `*-commutative_binary64_1373` `sqr-pow_binary64_1414`
2×	`pow-exp_binary64_1510` `pow-prod-down_binary64_1513` `pow-to-exp_binary64_1511`
1×	`pow-pow_binary64_1514`

Counts

4 → 81

Calls

4 calls:

12.0ms	(*.f64 e (pow.f64 (cos.f64 v) 2))
9.0ms	(*.f64 e (cos.f64 v))
9.0ms	(*.f64 e (sin.f64 v))
5.0ms	(pow.f64 (cos.f64 v) 2)

series466.0ms (5.7%)

Counts

4 → 22

Calls

4 calls:

155.0ms	(*.f64 e (pow.f64 (cos.f64 v) 2))
137.0ms	(*.f64 e (sin.f64 v))
135.0ms	(*.f64 e (cos.f64 v))
38.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 963 to 706 computations (26.7% saved)

simplify198.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	4903	854
1	4903	854

prune197.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Error

0.0b

Counts

110 → 7

Compiler

Compiled 2660 to 1241 computations (53.3% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_1448`
57×	`add-sqr-sqrt_binary64_1464`
55×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
16×	`associate-/r*_binary64_1386`
12×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
3×	`associate-r_binary64_1382` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`associate-/l/_binary64_1389` `clear-num_binary64_1441` `frac-2neg_binary64_1453`
1×	`cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

3 → 117

Calls

3 calls:

13.0ms	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
10.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
7.0ms	(*.f64 e (cos.f64 v))

series597.0ms (7.3%)

Counts

3 → 26

Calls

3 calls:

255.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
230.0ms	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
112.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 632 to 489 computations (22.6% saved)

simplify144.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5033	3434

prune227.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Error

Counts

150 → 8

Compiler

Compiled 2894 to 1189 computations (58.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
19×	`add-sqr-sqrt_binary64_1464`
13×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-l_binary64_1383`
10×	`associate-r_binary64_1382`
8×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
7×	`sqrt-prod_binary64_1458`
5×	`pow-prod-down_binary64_1513`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-undiv_binary64_1476` `associate-/r_binary64_1386` `times-frac_binary64_1448` `-commutative_binary64_1373` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`
2×	`associate-/r/_binary64_1388`
1×	`div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 86

Calls

4 calls:

17.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
14.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
10.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
7.0ms	(*.f64 e (cos.f64 v))

series543.0ms (6.7%)

Counts

4 → 30

Calls

4 calls:

228.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
109.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
103.0ms	(*.f64 e (cos.f64 v))
103.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 928 to 705 computations (24% saved)

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5024	1497

prune149.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	117	7	124

Error

Counts

124 → 7

Compiler

Compiled 1996 to 648 computations (67.5% saved)

regimes291.0ms (3.6%)

Accuracy

Total 0.1b remaining (93.4%)

Threshold costs 0.1b (93.4%)

Compiler

Compiled 1421 to 1028 computations (27.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	75	34
1	75	34

end0.0ms (0%)

sample3.7s (45.9%)

Algorithm

1×

intervals

Results

1.1s	1994×	body	1024	valid
574.0ms	4514×	body	128	valid
366.0ms	975×	body	512	valid
267.0ms	8000×	pre	128	true
127.0ms	510×	body	256	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 502 to 364 computations (27.5% saved)

Details

analyze204.0ms (2.5%)

sample102.0ms (1.3%)

simplify14.0ms (0.2%)

prune6.0ms (0.1%)

localize19.0ms (0.2%)

rewrite48.0ms (0.6%)

series482.0ms (5.9%)

simplify214.0ms (2.6%)

prune153.0ms (1.9%)

localize32.0ms (0.4%)

rewrite55.0ms (0.7%)

series466.0ms (5.7%)

simplify198.0ms (2.4%)

prune197.0ms (2.4%)

localize17.0ms (0.2%)

rewrite49.0ms (0.6%)

series597.0ms (7.3%)

simplify144.0ms (1.8%)

prune227.0ms (2.8%)

localize21.0ms (0.3%)

rewrite61.0ms (0.7%)

series543.0ms (6.7%)

simplify114.0ms (1.4%)

prune149.0ms (1.8%)

regimes291.0ms (3.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.7s (45.9%)

Profiling