Details

analyze237.0ms (5.6%)

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)

sample60.0ms (1.4%)

Algorithm

1×

intervals

Results

31.0ms	65×	body	2048	valid
10.0ms	49×	body	1024	valid
7.0ms	54×	body	512	valid
3.0ms	72×	body	128	valid
1.0ms	14×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify114.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	366	12
1	366	12

prune2.0ms (0.1%)

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

34.2b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(-.f64 1 (cos.f64 x))
14.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite16.0ms (0.4%)

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:

9.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
4.0ms	(-.f64 1 (cos.f64 x))

series52.0ms (1.2%)

Counts

2 → 8

Calls

2 calls:

38.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
14.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 130 to 109 computations (16.2% saved)

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	705
1	4996	705

prune65.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	7	56

Error

0.0b

Counts

56 → 7

Compiler

Compiled 765 to 404 computations (47.2% 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)))
0.2b	(*.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))

rewrite39.0ms (0.9%)

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))
10.0ms	(/.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))

series162.0ms (3.8%)

Counts

4 → 18

Calls

4 calls:

63.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
56.0ms	(/.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 442 to 341 computations (22.9% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4931	1799
1	4931	1799

prune112.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	130	6	136

Error

Counts

136 → 6

Compiler

Compiled 2245 to 1106 computations (50.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.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)))

rewrite29.0ms (0.7%)

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:

9.0ms	(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x)
8.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
6.0ms	(/.f64 (sin.f64 x) x)

series178.0ms (4.2%)

Counts

3 → 12

Calls

3 calls:

83.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
73.0ms	(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x)
23.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 268 to 216 computations (19.4% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4982	1518
1	4982	1518

prune81.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Error

Counts

105 → 6

Compiler

Compiled 1671 to 838 computations (49.9% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_116`
31×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100`
28×	`times-frac_binary64_84`
26×	`associate-l_binary64_19` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
22×	`prod-exp_binary64_127`
12×	`cbrt-unprod_binary64_111` `div-exp_binary64_129`
10×	`pow1_binary64_139`
7×	`cbrt-undiv_binary64_112`
6×	`tan-quot_binary64_237` `frac-times_binary64_88` `associate-*r/_binary64_20`
4×	`associate-r_binary64_18` `associate-*l/_binary64_21` `pow-prod-down_binary64_149`
3×	`add-log-exp_binary64_117` `1-exp_binary64_122` `div-inv_binary64_75` `associate-/l_binary64_23` `rec-exp_binary64_128` `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)

series198.0ms (4.7%)

Counts

3 → 13

Calls

3 calls:

85.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
81.0ms	(.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))
31.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 324 to 268 computations (17.3% saved)

simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4943	1992
1	4943	1992

prune99.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Error

Counts

129 → 6

Compiler

Compiled 2106 to 1153 computations (45.3% saved)

regimes129.0ms (3.1%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 1294 to 908 computations (29.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	17
1	10	17

end0.0ms (0%)

sample2.3s (54.5%)

Algorithm

1×

intervals

Results

892.0ms	2015×	body	2048	valid
225.0ms	1092×	body	1024	valid
198.0ms	1534×	body	512	valid
108.0ms	2536×	body	128	valid
62.0ms	718×	body	256	valid
45.0ms	105×	body	4096	valid

Compiler

Compiled 611 to 430 computations (29.6% saved)

Details

analyze237.0ms (5.6%)

sample60.0ms (1.4%)

simplify114.0ms (2.7%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.4%)

series52.0ms (1.2%)

simplify42.0ms (1%)

prune65.0ms (1.5%)

localize9.0ms (0.2%)

rewrite39.0ms (0.9%)

series162.0ms (3.8%)

simplify68.0ms (1.6%)

prune112.0ms (2.6%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series178.0ms (4.2%)

simplify74.0ms (1.8%)

prune81.0ms (1.9%)

localize11.0ms (0.3%)

rewrite34.0ms (0.8%)

series198.0ms (4.7%)

simplify94.0ms (2.2%)

prune99.0ms (2.3%)

regimes129.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (54.5%)

Profiling