Details

analyze339.0ms (6.2%)

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)

sample53.0ms (1%)

Algorithm

1×

intervals

Results

25.0ms	60×	body	2048	valid
7.0ms	38×	body	1024	valid
5.0ms	42×	body	512	valid
3.0ms	83×	body	128	valid
2.0ms	28×	body	256	valid
2.0ms	5×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify21.0ms (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

32.1b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.1b	(-.f64 1 (cos.f64 x))
14.8b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite72.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

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)

series74.0ms (1.3%)

Error

0.5b

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 (51.0ms)

Iter	Nodes	Cost
0	6299	811

prune62.0ms (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 870 to 477 computations (45.2% saved)

localize10.0ms (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))
14.7b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite147.0ms (2.7%)

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:

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))

Compiler

Compiled 2503 to 957 computations (61.8% saved)

series209.0ms (3.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

82.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
61.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
28.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
15.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 870 to 613 computations (29.5% saved)

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4936	1964
1	4936	1964

prune122.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	136	6	142

Error

Counts

142 → 6

Compiler

Compiled 2354 to 1194 computations (49.3% 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 (sin.f64 x) x)
0.1b	(/.f64 (tan.f64 (/.f64 x 2)) x)

rewrite120.0ms (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)

series207.0ms (3.8%)

Error

Counts

3 → 18

Calls

3 calls:

81.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
75.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
34.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 594 to 457 computations (23.1% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4967	2070
1	4967	2070

prune108.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	123	6	129

Error

Counts

129 → 6

Compiler

Compiled 2178 to 1147 computations (47.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))
14.7b	(/.f64 (.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (.f64 x x))

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 41

Calls

2 calls:

8.0ms	(/.f64 (.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (.f64 x x))
6.0ms	(*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))

Compiler

Compiled 783 to 411 computations (47.5% saved)

series161.0ms (2.9%)

Error

Counts

2 → 12

Calls

2 calls:

86.0ms	(/.f64 (.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (.f64 x x))
63.0ms	(*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))

Compiler

Compiled 416 to 323 computations (22.4% saved)

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5081	894

prune42.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Error

Counts

59 → 6

Compiler

Compiled 810 to 453 computations (44.1% saved)

regimes263.0ms (4.8%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 2819 to 1943 computations (31.1% 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%)

sample3.1s (56.4%)

Algorithm

1×

intervals

Results

889.0ms	2005×	body	2048	valid
231.0ms	1176×	body	1024	valid
182.0ms	1477×	body	512	valid
96.0ms	2515×	body	128	valid
67.0ms	738×	body	256	valid
49.0ms	89×	body	4096	valid

Compiler

Compiled 1350 to 932 computations (31% saved)

Details

analyze339.0ms (6.2%)

sample53.0ms (1%)

simplify21.0ms (0.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite72.0ms (1.3%)

series74.0ms (1.3%)

simplify64.0ms (1.2%)

prune62.0ms (1.1%)

localize10.0ms (0.2%)

rewrite147.0ms (2.7%)

series209.0ms (3.8%)

simplify87.0ms (1.6%)

prune122.0ms (2.2%)

localize8.0ms (0.2%)

rewrite120.0ms (2.2%)

series207.0ms (3.8%)

simplify97.0ms (1.8%)

prune108.0ms (2%)

localize8.0ms (0.2%)

rewrite53.0ms (1%)

series161.0ms (2.9%)

simplify49.0ms (0.9%)

prune42.0ms (0.8%)

regimes263.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (56.4%)

Profiling