Details

analyze334.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	12
1	366	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	5
75%	25%	0%	6
78.1%	21.9%	0%	7
78.1%	21.9%	0%	8
78.1%	21.9%	0%	9
78.1%	21.9%	0%	10
78.1%	21.9%	0%	11
78.1%	21.9%	0%	12
78.1%	21.9%	0%	13
78.1%	21.8%	0%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample50.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	54×	body	2048	valid
7.0ms	59×	body	512	valid
5.0ms	27×	body	1024	valid
3.0ms	38×	body	256	valid
3.0ms	76×	body	128	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	366	12
1	366	12

prune2.0ms (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

27.7b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.9b	(-.f64 1 (cos.f64 x))
12.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite70.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

14×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`times-frac_binary64_84` `difference-of-squares_binary64_47` `associate-/l*_binary64_23`
5×	`add-cube-cbrt_binary64_113`
4×	`add-log-exp_binary64_117`
3×	`distribute-lft-out--_binary64_30` `cancel-sign-sub-inv_binary64_44`
2×	`pow1_binary64_139` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `flip3--_binary64_82` `associate-/l/_binary64_25` `flip--_binary64_53`
1×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

2 → 47

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
4.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 708 to 357 computations (49.6% saved)

series72.0ms (1.3%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

43.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
19.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 320 to 251 computations (21.6% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6299	811

prune59.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	7	60

Error

0.0b

Counts

60 → 7

Compiler

Compiled 845 to 460 computations (45.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
0.4b	(+.f64 1 (cos.f64 x))
12.8b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite152.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
24×	`*-un-lft-identity_binary64_78`
22×	`times-frac_binary64_84`
16×	`add-sqr-sqrt_binary64_100`
14×	`add-cube-cbrt_binary64_113`
12×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
11×	`pow1_binary64_139` `associate-/l*_binary64_23`
7×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`add-log-exp_binary64_117` `associate-/r/_binary64_24`
5×	`distribute-lft-out_binary64_29` `associate-/r*_binary64_22`
4×	`div-inv_binary64_75` `flip3-+_binary64_81` `flip-+_binary64_52`
3×	`sqr-sin-a_binary64_226` `div-sub_binary64_83` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `sin-mult_binary64_233`
1×	`sum-log_binary64_169` `+-commutative_binary64_8` `pow2_binary64_159` `pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-plus_binary64_141` `pow-sqr_binary64_51` `unswap-sqr_binary64_46` `*-commutative_binary64_9`

Counts

4 → 111

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
8.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
5.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
4.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 2503 to 957 computations (61.8% saved)

series199.0ms (3.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

83.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
52.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
29.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
14.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 870 to 613 computations (29.5% saved)

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4936	1964
1	4936	1964

prune120.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	134	8	142

Error

0.0b

Counts

142 → 8

Compiler

Compiled 2364 to 1203 computations (49.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
0.1b	(/.f64 (tan.f64 (/.f64 x 2)) x)
0.1b	(/.f64 (sin.f64 x) x)

rewrite122.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_100`
40×	`times-frac_binary64_84`
33×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
13×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l_binary64_23` `associate-/r_binary64_22`
5×	`pow1_binary64_139`
4×	`div-inv_binary64_75` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
3×	`add-log-exp_binary64_117`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`tan-quot_binary64_237` `associate-/l/_binary64_25` `pow-prod-down_binary64_149` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9`

Counts

3 → 105

Calls

3 calls:

11.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
4.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2058 to 1010 computations (50.9% saved)

series185.0ms (3.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

73.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
67.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
30.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 594 to 457 computations (23.1% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4967	2070
1	4967	2070

prune103.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	124	7	131

Error

Counts

131 → 7

Compiler

Compiled 2174 to 1145 computations (47.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 x) x)
0.2b	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
0.2b	(.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))

rewrite135.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-exp-log_binary64_116`
31×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100`
28×	`times-frac_binary64_84`
26×	`add-cube-cbrt_binary64_113` `-un-lft-identity_binary64_78` `associate-l*_binary64_19`
22×	`prod-exp_binary64_127`
12×	`div-exp_binary64_129` `cbrt-unprod_binary64_111`
10×	`pow1_binary64_139`
7×	`cbrt-undiv_binary64_112`
6×	`tan-quot_binary64_237` `frac-times_binary64_88` `associate-*r/_binary64_20`
4×	`pow-prod-down_binary64_149` `associate-l/_binary64_21` `associate-r*_binary64_18`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`*-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

3 → 110

Calls

3 calls:

12.0ms	(.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))
8.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2322 to 1249 computations (46.2% saved)

series219.0ms (4%)

Error

Counts

3 → 18

Calls

3 calls:

90.0ms	(.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))
88.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
27.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 642 to 515 computations (19.8% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	2120
1	4931	2120

prune105.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Error

Counts

135 → 7

Compiler

Compiled 2210 to 1230 computations (44.3% saved)

regimes250.0ms (4.6%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 2753 to 1873 computations (32% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	17
1	10	17

end0.0ms (0%)

sample2.9s (53.5%)

Algorithm

1×

intervals

Results

886.0ms	2075×	body	2048	valid
214.0ms	1085×	body	1024	valid
170.0ms	1474×	body	512	valid
99.0ms	2475×	body	128	valid
67.0ms	769×	body	256	valid
51.0ms	122×	body	4096	valid

Compiler

Compiled 1327 to 905 computations (31.8% saved)

Details

analyze334.0ms (6.1%)

sample50.0ms (0.9%)

simplify22.0ms (0.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite70.0ms (1.3%)

series72.0ms (1.3%)

simplify64.0ms (1.2%)

prune59.0ms (1.1%)

localize9.0ms (0.2%)

rewrite152.0ms (2.8%)

series199.0ms (3.6%)

simplify83.0ms (1.5%)

prune120.0ms (2.2%)

localize8.0ms (0.2%)

rewrite122.0ms (2.2%)

series185.0ms (3.4%)

simplify94.0ms (1.7%)

prune103.0ms (1.9%)

localize12.0ms (0.2%)

rewrite135.0ms (2.5%)

series219.0ms (4%)

simplify78.0ms (1.4%)

prune105.0ms (1.9%)

regimes250.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (53.5%)

Profiling