Details

analyze113.0ms (1.8%)

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)

sample63.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	78×	body	1024	valid
14.0ms	143×	body	128	valid
6.0ms	28×	body	512	valid
5.0ms	256×	pre	128	true
1.0ms	6×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.1%)

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 (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_1123`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

3 → 59

Calls

3 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series336.0ms (5.5%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

170.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
68.0ms	(*.f64 e (cos.f64 v))
65.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune93.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Error

0.0b

Counts

87 → 6

Compiler

Compiled 1601 to 723 computations (54.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
4.6b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite89.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64_1101`
15×	`add-sqr-sqrt_binary64_1123`
13×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
6×	`associate-l_binary64_1042` `associate-r_binary64_1041`
5×	`add-log-exp_binary64_1140` `log-pow_binary64_1190` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`distribute-lft-out_binary64_1052`
3×	`log-prod_binary64_1187` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
2×	`pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r/_binary64_1047`
1×	`exp-to-pow_binary64_1163` `exp-prod_binary64_1153` `rem-log-exp_binary64_1142` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
6.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
3.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

Compiler

Compiled 1544 to 518 computations (66.5% saved)

series727.0ms (11.9%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

375.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
178.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
78.0ms	(*.f64 e (sin.f64 v))
61.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1767 to 1161 computations (34.3% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4959	1690
1	4959	1690

prune93.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Error

0.0b

Counts

116 → 6

Compiler

Compiled 2049 to 845 computations (58.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite144.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_1107`
57×	`add-sqr-sqrt_binary64_1123`
55×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
16×	`associate-/r*_binary64_1045`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
5×	`pow1_binary64_1162`
4×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

3 → 117

Calls

3 calls:

8.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
6.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2692 to 1120 computations (58.4% saved)

series427.0ms (7%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

170.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
166.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
59.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1449 to 997 computations (31.2% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5196	3861

prune148.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	145	8	153

Error

0.0b

Counts

153 → 8

Compiler

Compiled 3201 to 1386 computations (56.7% saved)

localize11.0ms (0.2%)

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))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))

rewrite109.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
19×	`add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`associate-l_binary64_1042`
10×	`associate-r_binary64_1041`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`sqrt-prod_binary64_1117`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140`
3×	`unswap-sqr_binary64_1069` `-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
7.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series434.0ms (7.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

188.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
72.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
71.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
65.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1938 to 1280 computations (34% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4955	1949
1	4955	1949

prune101.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Error

Counts

130 → 8

Compiler

Compiled 2332 to 887 computations (62% saved)

regimes235.0ms (3.8%)

Accuracy

Total 0.1b remaining (94.8%)

Threshold costs 0.1b (94.8%)

Compiler

Compiled 2345 to 1625 computations (30.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample2.6s (41.9%)

Algorithm

1×

intervals

Results

647.0ms	2058×	body	1024	valid
314.0ms	4522×	body	128	valid
204.0ms	968×	body	512	valid
166.0ms	8000×	pre	128	true
64.0ms	448×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 801 to 558 computations (30.3% saved)

Details

analyze113.0ms (1.8%)

sample63.0ms (1%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite69.0ms (1.1%)

series336.0ms (5.5%)

simplify62.0ms (1%)

prune93.0ms (1.5%)

localize13.0ms (0.2%)

rewrite89.0ms (1.5%)

series727.0ms (11.9%)

simplify78.0ms (1.3%)

prune93.0ms (1.5%)

localize9.0ms (0.1%)

rewrite144.0ms (2.4%)

series427.0ms (7%)

simplify68.0ms (1.1%)

prune148.0ms (2.4%)

localize11.0ms (0.2%)

rewrite109.0ms (1.8%)

series434.0ms (7.1%)

simplify99.0ms (1.6%)

prune101.0ms (1.7%)

regimes235.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (41.9%)

Profiling