Details

analyze156.0ms (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)

sample86.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	66×	body	1024	valid
13.0ms	138×	body	128	valid
10.0ms	37×	body	512	valid
6.0ms	256×	pre	128	true
3.0ms	15×	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 (4.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune4.0ms (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)

localize17.0ms (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 (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite104.0ms (1.2%)

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:

11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
9.0ms	(*.f64 e (cos.f64 v))
8.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series399.0ms (4.5%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

208.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
85.0ms	(*.f64 e (sin.f64 v))
75.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune109.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	78	8	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	8	87

Error

0.0b

Counts

87 → 8

Compiler

Compiled 1637 to 746 computations (54.4% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite148.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
19×	`times-frac_binary64_1107`
18×	`associate-r_binary64_1041`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042`
4×	`associate-/r/_binary64_1047`
3×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `*-commutative_binary64_1032`
1×	`associate-*r/_binary64_1043` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

3 → 81

Calls

3 calls:

14.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
6.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1683 to 707 computations (58% saved)

series550.0ms (6.2%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

243.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
187.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
72.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1765 to 1244 computations (29.5% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5156	2548

prune178.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

0.0b

Counts

119 → 7

Compiler

Compiled 2374 to 1141 computations (51.9% 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)))

rewrite193.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

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:

9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
7.0ms	(/.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)

series649.0ms (7.3%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

261.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
249.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
83.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1449 to 997 computations (31.2% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5196	3861

prune224.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	146	8	154

Error

Counts

154 → 8

Compiler

Compiled 3171 to 1373 computations (56.7% saved)

localize25.0ms (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 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite168.0ms (1.9%)

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×	`-commutative_binary64_1032` `unswap-sqr_binary64_1069` `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:

15.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
15.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
11.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
8.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series624.0ms (7.1%)

Error

Counts

4 → 36

Calls

4 calls:

263.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
102.0ms	(*.f64 e (cos.f64 v))
98.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
95.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 1938 to 1280 computations (34% saved)

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4955	1949
1	4955	1949

prune161.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

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

Error

Counts

130 → 8

Compiler

Compiled 2332 to 886 computations (62% saved)

regimes444.0ms (5%)

Accuracy

Total 0.1b remaining (95.5%)

Threshold costs 0.1b (95.5%)

Compiler

Compiled 3158 to 2270 computations (28.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample4.2s (47.3%)

Algorithm

1×

intervals

Results

894.0ms	2029×	body	1024	valid
463.0ms	4490×	body	128	valid
314.0ms	962×	body	512	valid
228.0ms	8000×	pre	128	true
106.0ms	514×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 1073 to 774 computations (27.9% saved)

Details

analyze156.0ms (1.8%)

sample86.0ms (1%)

simplify14.0ms (0.2%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite104.0ms (1.2%)

series399.0ms (4.5%)

simplify58.0ms (0.7%)

prune109.0ms (1.2%)

localize18.0ms (0.2%)

rewrite148.0ms (1.7%)

series550.0ms (6.2%)

simplify93.0ms (1%)

prune178.0ms (2%)

localize9.0ms (0.1%)

rewrite193.0ms (2.2%)

series649.0ms (7.3%)

simplify72.0ms (0.8%)

prune224.0ms (2.5%)

localize25.0ms (0.3%)

rewrite168.0ms (1.9%)

series624.0ms (7.1%)

simplify147.0ms (1.7%)

prune161.0ms (1.8%)

regimes444.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.2s (47.3%)

Profiling