Details

analyze762.0ms (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample189.0ms (1.5%)

Algorithm

1×

intervals

Results

122.0ms	116×	body	1024	valid
29.0ms	44×	body	512	valid
20.0ms	85×	body	128	valid
5.0ms	11×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune14.0ms (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

Merged error: 0.3b

Counts

2 → 2

Compiler

Compiled 244 to 194 computations (20.5% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite96.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
41×	`cancel-sign-sub-inv_binary64`
35×	`*-un-lft-identity_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`associate-*r/_binary64` `frac-times_binary64`
27×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-*l/_binary64`
12×	`associate-r_binary64`
8×	`add-log-exp_binary64` `sqrt-prod_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
6×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64`
2×	`diff-log_binary64` `unswap-sqr_binary64` `div-inv_binary64` `diff-cos_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

33.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
17.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
6.0ms	(-.f64 3 (sqrt.f64 5))

series570.0ms (4.7%)

Counts

4 → 10

Calls

4 calls:

371.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
117.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
82.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5055	5629

prune1.3s (10.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	152	10	162

Merged error: 0.2b

Counts

162 → 10

Compiler

Compiled 22293 to 15948 computations (28.5% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(cbrt.f64 16)
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite54.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`cbrt-prod_binary64`
72×	`times-frac_binary64`
65×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
59×	`add-cube-cbrt_binary64`
40×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64`
7×	`add-exp-log_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64`
4×	`sqrt-prod_binary64`
3×	`pow-unpow_binary64` `difference-of-squares_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cube-div_binary64` `div-exp_binary64` `unpow3_binary64` `diff-cos_binary64` `cube-mult_binary64`

Counts

4 → 148

Calls

4 calls:

13.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
6.0ms	(-.f64 3 (sqrt.f64 5))
2.0ms	(cbrt.f64 16)

series402.0ms (3.3%)

Counts

4 → 8

Calls

4 calls:

319.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
83.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4781	2443
1	4781	2443

prune901.0ms (7.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	155	11	166

Merged error: 0.2b

Counts

166 → 11

Compiler

Compiled 12311 to 8724 computations (29.1% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `cancel-sign-sub-inv_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `diff-cos_binary64`

Counts

4 → 50

Calls

4 calls:

6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
2.0ms	(cbrt.f64 16)
2.0ms	(cbrt.f64 16)
2.0ms	(cbrt.f64 16)

series75.0ms (0.6%)

Counts

4 → 6

Calls

4 calls:

74.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5003	701

prune262.0ms (2.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	56	11	67

Merged error: 0.2b

Counts

67 → 11

Compiler

Compiled 5186 to 3843 computations (25.9% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))
1.9b	(log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`log-prod_binary64` `log-pow_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `cbrt-prod_binary64` `exp-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-sum_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `diff-cos_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `log-div_binary64` `flip--_binary64`

Counts

4 → 62

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
2.0ms	(cbrt.f64 16)
2.0ms	(cbrt.f64 16)

series256.0ms (2.1%)

Counts

4 → 8

Calls

4 calls:

183.0ms	(log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))
72.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5101	840

prune307.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	70	11	81

Merged error: 0.2b

Counts

81 → 11

Compiler

Compiled 5740 to 4128 computations (28.1% saved)

regimes176.0ms (1.4%)

Compiler: Compiled 2183 to 1675 computations (23.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	123	77
1	123	77

end0.0ms (0%)

sample6.2s (51.2%)

Algorithm

1×

intervals

Results

3.7s	3550×	body	1024	valid
913.0ms	1418×	body	512	valid
482.0ms	2451×	body	128	valid
238.0ms	554×	body	256	valid
53.0ms	27×	body	2048	valid

Compiler

Compiled 792 to 610 computations (23% saved)

Details

analyze762.0ms (6.3%)

sample189.0ms (1.5%)

simplify64.0ms (0.5%)

prune14.0ms (0.1%)

localize40.0ms (0.3%)

rewrite96.0ms (0.8%)

series570.0ms (4.7%)

simplify122.0ms (1%)

prune1.3s (10.3%)

localize48.0ms (0.4%)

rewrite54.0ms (0.4%)

series402.0ms (3.3%)

simplify92.0ms (0.8%)

prune901.0ms (7.4%)

localize52.0ms (0.4%)

rewrite19.0ms (0.2%)

series75.0ms (0.6%)

simplify42.0ms (0.3%)

prune262.0ms (2.2%)

localize56.0ms (0.5%)

rewrite27.0ms (0.2%)

series256.0ms (2.1%)

simplify71.0ms (0.6%)

prune307.0ms (2.5%)

regimes176.0ms (1.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.2s (51.2%)

Profiling