Details

analyze1.5s (15.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0.1%	99.9%	0%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample158.0ms (1.7%)

Algorithm

1×

intervals

Results

99.0ms	56×	body	2048	valid
34.0ms	106×	body	1024	valid
9.0ms	49×	body	512	valid
2.0ms	20×	body	256	valid
2.0ms	2×	body	4096	valid
2.0ms	23×	body	128	valid

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	14

prune4.0ms (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

31.0b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.4b	(-.f64 x (tan.f64 x))
1.4b	(-.f64 x (sin.f64 x))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 84

Calls

3 calls:

8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(-.f64 x (sin.f64 x))
3.0ms	(-.f64 x (tan.f64 x))

series148.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
51.0ms	(-.f64 x (tan.f64 x))
34.0ms	(-.f64 x (sin.f64 x))

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6199	1847

prune82.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1642 to 348 computations (78.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 x (tan.f64 x))
1.4b	(-.f64 x (sin.f64 x))
1.4b	(-.f64 x (sin.f64 x))
1.4b	(-.f64 x (sin.f64 x))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
8×	`add-cube-cbrt_binary64`
4×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 64

Calls

4 calls:

7.0ms	(-.f64 x (sin.f64 x))
4.0ms	(-.f64 x (sin.f64 x))
4.0ms	(-.f64 x (sin.f64 x))
4.0ms	(-.f64 x (tan.f64 x))

series105.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(-.f64 x (tan.f64 x))
21.0ms	(-.f64 x (sin.f64 x))
20.0ms	(-.f64 x (sin.f64 x))
19.0ms	(-.f64 x (sin.f64 x))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5121	838

prune82.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 3052 to 368 computations (87.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.1b	(.f64 (.f64 x x) 9/40)
17.3b	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
10×	`associate-r_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
6×	`prod-exp_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64` `cancel-sign-sub-inv_binary64`
2×	`diff-log_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

8.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
8.0ms	(.f64 (.f64 x x) 9/40)
5.0ms	(*.f64 27/2800 (pow.f64 x 4))

series73.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 27/2800 (pow.f64 x 4))
24.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
20.0ms	(.f64 (.f64 x x) 9/40)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5451	873

prune67.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 1203 to 874 computations (27.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 x) 3)
1.4b	(-.f64 x (tan.f64 x))
1.4b	(-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))
35.3b	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))

rewrite70.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
81×	`difference-of-squares_binary64`
75×	`times-frac_binary64`
66×	`unpow-prod-down_binary64` `cube-prod_binary64`
42×	`sqr-pow_binary64`
41×	`add-cube-cbrt_binary64`
26×	`distribute-lft-out--_binary64`
25×	`associate-/l*_binary64`
15×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`difference-cubes_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 204

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
13.0ms	(-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))
3.0ms	(-.f64 x (tan.f64 x))
3.0ms	(pow.f64 (sin.f64 x) 3)

series295.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
75.0ms	(-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))
46.0ms	(-.f64 x (tan.f64 x))
24.0ms	(pow.f64 (sin.f64 x) 3)

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5070	7825

prune282.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	216	3	219

Error

Counts

219 → 3

Compiler

Compiled 8052 to 2442 computations (69.7% saved)

regimes106.0ms (1.1%)

Accuracy

Total 0.0b remaining (35.5%)

Threshold costs 0.0b (35.5%)

Compiler

Compiled 764 to 446 computations (41.6% saved)

bsearch43.0ms (0.5%)

Steps

Iters	Range		Point
8	2.2900845801433365e-05	1.341509008556866	0.024311694521294346
9	-49360.342972140534	-0.0018318253591990102	-0.02731826339141937

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	63
1	87	63

end0.0ms (0%)

sample6.0s (62.6%)

Algorithm

1×

intervals

Results

3.9s	2027×	body	2048	valid
1.0s	3051×	body	1024	valid
285.0ms	1482×	body	512	valid
107.0ms	106×	body	4096	valid
90.0ms	721×	body	256	valid
46.0ms	613×	body	128	valid

Compiler

Compiled 404 to 235 computations (41.8% saved)

Details

analyze1.5s (15.7%)

sample158.0ms (1.7%)

simplify84.0ms (0.9%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite24.0ms (0.3%)

series148.0ms (1.5%)

simplify81.0ms (0.8%)

prune82.0ms (0.9%)

localize15.0ms (0.2%)

rewrite26.0ms (0.3%)

series105.0ms (1.1%)

simplify83.0ms (0.9%)

prune82.0ms (0.9%)

localize8.0ms (0.1%)

rewrite25.0ms (0.3%)

series73.0ms (0.8%)

simplify60.0ms (0.6%)

prune67.0ms (0.7%)

localize15.0ms (0.2%)

rewrite70.0ms (0.7%)

series295.0ms (3.1%)

simplify121.0ms (1.3%)

prune282.0ms (3%)

regimes106.0ms (1.1%)

bsearch43.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.0s (62.6%)

Profiling