Details

analyze242.0ms (5.2%)

Algorithm

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)

sample63.0ms (1.4%)

Algorithm

1×

intervals

Results

37.0ms	71×	body	2048	valid
8.0ms	38×	body	1024	valid
5.0ms	44×	body	512	valid
3.0ms	83×	body	128	valid
2.0ms	4×	body	4096	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify107.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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

Merged error: 33.7b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.3b	(-.f64 1 (cos.f64 x))
16.3b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
6×	`times-frac_binary64_84` `associate-/l*_binary64_23` `difference-of-squares_binary64_47`
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×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip3--_binary64_82` `flip--_binary64_53` `associate-/l/_binary64_25` `pow1_binary64_139`
1×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r*_binary64_22` `clear-num_binary64_77` `div-sub_binary64_83` `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))

series69.0ms (1.5%)

Counts

2 → 12

Calls

2 calls:

45.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
24.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 192 to 164 computations (14.6% saved)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6192	823

prune67.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

Compiler

Compiled 825 to 447 computations (45.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
0.2b	(+.f64 1 (cos.f64 x))
16.5b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

11.0ms	(/.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))

series211.0ms (4.6%)

Counts

4 → 24

Calls

4 calls:

91.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
69.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
32.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
19.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 536 to 428 computations (20.1% saved)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	2038

prune116.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 0b

Counts

140 → 6

Compiler

Compiled 2384 to 1178 computations (50.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
21×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
13×	`associate-l_binary64_19`
6×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `associate-/r*_binary64_22`
5×	`pow1_binary64_139`
4×	`tan-quot_binary64_237` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-/l*_binary64_23`
3×	`add-log-exp_binary64_117` `div-inv_binary64_75` `associate-r_binary64_18` `associate-/l/_binary64_25`
2×	`frac-2neg_binary64_89` `frac-times_binary64_88` `associate-l/_binary64_21` `unswap-sqr_binary64_46` `associate-r/_binary64_20` `clear-num_binary64_77`
1×	`*-commutative_binary64_9` `pow-prod-down_binary64_149`

Counts

3 → 87

Calls

3 calls:

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

series238.0ms (5.2%)

Counts

3 → 18

Calls

3 calls:

115.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
93.0ms	(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x)
30.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 368 to 306 computations (16.8% saved)

simplify83.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4941	1687
1	4941	1687

prune86.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

Compiler

Compiled 1746 to 916 computations (47.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

461×	`times-frac_binary64_84`
222×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
32×	`div-inv_binary64_75`
20×	`associate-/r*_binary64_22`
19×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `add-exp-log_binary64_116`
16×	`associate-/r/_binary64_24`
15×	`tan-quot_binary64_237`
10×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1_binary64_139`
1×	`associate-/l/_binary64_25`

Counts

3 → 284

Calls

3 calls:

13.0ms	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2))))
4.0ms	(/.f64 x (tan.f64 (/.f64 x 2)))
4.0ms	(/.f64 (sin.f64 x) x)

series227.0ms (4.9%)

Counts

3 → 18

Calls

3 calls:

96.0ms	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2))))
94.0ms	(/.f64 x (tan.f64 (/.f64 x 2)))
36.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 364 to 302 computations (17% saved)

simplify154.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4940	9484
1	4940	9484

prune320.0ms (6.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	302	5	307

Merged error: 0b

Counts

307 → 5

Compiler

Compiled 6845 to 3283 computations (52% saved)

regimes114.0ms (2.5%)

Compiler: Compiled 1098 to 782 computations (28.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	9	17

end0.0ms (0%)

sample2.2s (48.3%)

Algorithm

1×

intervals

Results

923.0ms	2067×	body	2048	valid
222.0ms	1082×	body	1024	valid
189.0ms	1475×	body	512	valid
98.0ms	2479×	body	128	valid
77.0ms	794×	body	256	valid
48.0ms	103×	body	4096	valid

Compiler

Compiled 513 to 367 computations (28.5% saved)

Details

analyze242.0ms (5.2%)

sample63.0ms (1.4%)

simplify107.0ms (2.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series69.0ms (1.5%)

simplify65.0ms (1.4%)

prune67.0ms (1.4%)

localize9.0ms (0.2%)

rewrite35.0ms (0.8%)

series211.0ms (4.6%)

simplify64.0ms (1.4%)

prune116.0ms (2.5%)

localize8.0ms (0.2%)

rewrite25.0ms (0.5%)

series238.0ms (5.2%)

simplify83.0ms (1.8%)

prune86.0ms (1.9%)

localize8.0ms (0.2%)

rewrite52.0ms (1.1%)

series227.0ms (4.9%)

simplify154.0ms (3.3%)

prune320.0ms (6.9%)

regimes114.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (48.3%)

Profiling