Details

analyze221.0ms (4.5%)

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)

sample51.0ms (1%)

Algorithm

1×

intervals

Results

26.0ms	64×	body	2048	valid
6.0ms	53×	body	512	valid
5.0ms	31×	body	1024	valid
3.0ms	82×	body	128	valid
2.0ms	25×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify109.0ms (2.2%)

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

32.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.8b	(-.f64 1 (cos.f64 x))
15.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite69.0ms (1.4%)

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:

9.0ms	(/.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)

series56.0ms (1.1%)

Error

0.5b

Counts

2 → 8

Calls

2 calls:

36.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
15.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 194 to 150 computations (22.7% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	705
1	4996	705

prune54.0ms (1.1%)

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 775 to 415 computations (46.5% 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))
14.9b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite143.0ms (2.9%)

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))
3.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 2503 to 957 computations (61.8% saved)

series166.0ms (3.3%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

73.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
48.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
21.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
12.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 579 to 398 computations (31.3% saved)

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4986	1758
1	4986	1758

prune112.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	127	7	134

Error

Counts

134 → 7

Compiler

Compiled 2180 to 1075 computations (50.7% 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)))

rewrite100.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

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-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
13×	`associate-l_binary64_19`
6×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/r*_binary64_22`
5×	`pow1_binary64_139`
4×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `tan-quot_binary64_237` `associate-/l*_binary64_23`
3×	`add-log-exp_binary64_117` `div-inv_binary64_75` `associate-r_binary64_18` `associate-/l/_binary64_25`
2×	`frac-times_binary64_88` `unswap-sqr_binary64_46` `associate-l/_binary64_21` `associate-r/_binary64_20` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9`

Counts

3 → 87

Calls

3 calls:

8.0ms	(/.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)))
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 1623 to 756 computations (53.4% saved)

series189.0ms (3.8%)

Error

Counts

3 → 12

Calls

3 calls:

91.0ms	(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))
68.0ms	(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x)
23.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 400 to 306 computations (23.5% saved)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4982	1518
1	4982	1518

prune80.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Error

Counts

106 → 7

Compiler

Compiled 1653 to 830 computations (49.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite117.0ms (2.3%)

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:

10.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
6.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
3.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2058 to 1010 computations (50.9% saved)

series161.0ms (3.2%)

Error

Counts

3 → 12

Calls

3 calls:

69.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
61.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
23.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 405 to 305 computations (24.7% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4973	1929
1	4973	1929

prune93.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	3	4
Picked	1	0	1
Done	1	1	2
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 1986 to 1010 computations (49.1% saved)

regimes216.0ms (4.4%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 2425 to 1639 computations (32.4% 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%)

sample2.7s (54.7%)

Algorithm

1×

intervals

Results

838.0ms	1989×	body	2048	valid
207.0ms	1107×	body	1024	valid
188.0ms	1496×	body	512	valid
98.0ms	2572×	body	128	valid
58.0ms	728×	body	256	valid
51.0ms	108×	body	4096	valid

Compiler

Compiled 1158 to 784 computations (32.3% saved)

Details

analyze221.0ms (4.5%)

sample51.0ms (1%)

simplify109.0ms (2.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite69.0ms (1.4%)

series56.0ms (1.1%)

simplify41.0ms (0.8%)

prune54.0ms (1.1%)

localize9.0ms (0.2%)

rewrite143.0ms (2.9%)

series166.0ms (3.3%)

simplify82.0ms (1.7%)

prune112.0ms (2.2%)

localize8.0ms (0.2%)

rewrite100.0ms (2%)

series189.0ms (3.8%)

simplify73.0ms (1.5%)

prune80.0ms (1.6%)

localize8.0ms (0.2%)

rewrite117.0ms (2.3%)

series161.0ms (3.2%)

simplify78.0ms (1.6%)

prune93.0ms (1.9%)

regimes216.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (54.7%)

Profiling