Details

analyze842.0ms (8.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4855	22
1	4855	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14
49.2%	27.3%	23.5%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (11.8%)

Algorithm

2×

intervals

Results

30.0ms	131×	body	1024	valid
29.0ms	132×	body	1024	invalid
18.0ms	278×	body	128	invalid
14.0ms	289×	body	128	valid
11.0ms	71×	body	512	invalid
8.0ms	58×	body	512	valid
3.0ms	34×	body	256	valid
3.0ms	24×	body	256	invalid

Compiler

Compiled 3975 to 4470 computations (-12.5% saved)

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)

rewrite73.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_14422`
19×	`times-frac_binary64_14406`
18×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
13×	`associate-r_binary64_14340`
9×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
4×	`pow1_binary64_14461`
3×	`associate-/l_binary64_14345` `associate-/r_binary64_14344` `associate-l_binary64_14341`
2×	`div-exp_binary64_14451` `add-log-exp_binary64_14439` `cbrt-undiv_binary64_14434` `div-inv_binary64_14397` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `cosh-def_binary64_14586` `unswap-sqr_binary64_14368`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `pow-prod-down_binary64_14471` `frac-times_binary64_14410` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331`

Counts

2 → 61

Calls

2 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 864 to 212 computations (75.5% saved)

series360.0ms (3.5%)

Error

0.2b

Counts

2 → 14

Calls

2 calls:

303.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
41.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 565 to 389 computations (31.2% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4949	1083
1	4949	1083

prune74.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Error

0.0b

Counts

76 → 8

Compiler

Compiled 1067 to 299 computations (72% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite233.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

156×	`times-frac_binary64_14406`
103×	`add-sqr-sqrt_binary64_14422`
91×	`*-un-lft-identity_binary64_14400`
89×	`add-cube-cbrt_binary64_14435`
44×	`associate-r_binary64_14340`
35×	`add-exp-log_binary64_14438`
19×	`add-cbrt-cube_binary64_14436`
16×	`associate-/r*_binary64_14344`
15×	`div-exp_binary64_14451`
10×	`div-inv_binary64_14397`
7×	`cbrt-undiv_binary64_14434` `prod-exp_binary64_14449`
6×	`pow1_binary64_14461` `associate-/l*_binary64_14345`
5×	`unswap-sqr_binary64_14368`
4×	`1-exp_binary64_14444` `rec-exp_binary64_14450`
3×	`add-log-exp_binary64_14439` `cbrt-unprod_binary64_14433` `associate-l_binary64_14341`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/r/_binary64_14346` `cosh-def_binary64_14586`
1×	`inv-pow_binary64_14485` `pow-flip_binary64_14474` `pow-prod-down_binary64_14471` `frac-times_binary64_14410` `un-div-inv_binary64_14398` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331`

Counts

3 → 178

Calls

3 calls:

20.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3293 to 1336 computations (59.4% saved)

series416.0ms (4.1%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

302.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
58.0ms	(/.f64 y (sin.f64 y))
41.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 673 to 477 computations (29.1% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4957	2995
1	4957	2995

prune178.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	192	12	204

Error

0.0b

Counts

204 → 12

Compiler

Compiled 3110 to 984 computations (68.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite1.1s (10.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

854×	`times-frac_binary64_14406`
426×	`add-sqr-sqrt_binary64_14422`
397×	`*-un-lft-identity_binary64_14400`
391×	`add-cube-cbrt_binary64_14435`
174×	`associate-r_binary64_14340`
105×	`add-exp-log_binary64_14438`
66×	`div-exp_binary64_14451`
57×	`div-inv_binary64_14397`
35×	`add-cbrt-cube_binary64_14436`
17×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `cbrt-undiv_binary64_14434` `prod-exp_binary64_14449`
16×	`associate-/l_binary64_14345` `associate-/r_binary64_14344`
10×	`unswap-sqr_binary64_14368`
6×	`pow1_binary64_14461`
5×	`cbrt-unprod_binary64_14433`
3×	`add-log-exp_binary64_14439` `associate-l_binary64_14341`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/r/_binary64_14346` `cosh-def_binary64_14586`
1×	`associate-/l/_binary64_14347` `inv-pow_binary64_14485` `pow-flip_binary64_14474` `pow-prod-down_binary64_14471` `frac-times_binary64_14410` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331`

Counts

3 → 479

Calls

3 calls:

53.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
13.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
4.0ms	(/.f64 1 (sin.f64 y))

Compiler

Compiled 11829 to 7105 computations (39.9% saved)

series386.0ms (3.8%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

301.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
37.0ms	(/.f64 1 (sin.f64 y))
33.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 699 to 494 computations (29.3% saved)

simplify151.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

497 → 497

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4965	9853
1	4965	9853

prune600.0ms (5.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	497	12	509

Error

0.0b

Counts

509 → 12

Compiler

Compiled 9629 to 4402 computations (54.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
0.0b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
0.2b	(/.f64 (sin.f64 y) y)
0.2b	(/.f64 (sin.f64 y) y)

rewrite148.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
31×	`add-sqr-sqrt_binary64_14422`
28×	`add-cube-cbrt_binary64_14435` `times-frac_binary64_14406` `*-un-lft-identity_binary64_14400`
18×	`pow1_binary64_14461`
17×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
16×	`associate-l_binary64_14341`
9×	`pow-prod-down_binary64_14471`
6×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `associate-/l_binary64_14345` `associate-/r_binary64_14344`
4×	`add-log-exp_binary64_14439`
3×	`div-inv_binary64_14397`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `unswap-sqr_binary64_14368` `associate-l/_binary64_14343` `associate-r_binary64_14340` `-commutative_binary64_14331`
1×	`associate-*r/_binary64_14342`

Counts

4 → 115

Calls

4 calls:

11.0ms	(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
10.0ms	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
5.0ms	(/.f64 (sin.f64 y) y)
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 2583 to 667 computations (74.2% saved)

series457.0ms (4.5%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

200.0ms	(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
162.0ms	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
43.0ms	(/.f64 (sin.f64 y) y)
34.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 978 to 636 computations (35% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4938	1802
1	4938	1802

prune119.0ms (1.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	137	12	149

Error

0.0b

Counts

149 → 12

Compiler

Compiled 2633 to 723 computations (72.5% saved)

regimes462.0ms (4.5%)

Accuracy

Total 0.2b remaining (77.9%)

Threshold costs 0.2b (77.9%)

Compiler

Compiled 4287 to 2869 computations (33.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end0.0ms (0%)

sample3.1s (29.9%)

Algorithm

1×

intervals

Results

468.0ms	2045×	body	1024	valid
399.0ms	1998×	body	1024	invalid
248.0ms	4456×	body	128	valid
237.0ms	4432×	body	128	invalid
139.0ms	1008×	body	512	invalid
138.0ms	985×	body	512	valid
50.0ms	510×	body	256	valid
45.0ms	468×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 853 to 574 computations (32.7% saved)

Details

analyze842.0ms (8.2%)

sample1.2s (11.8%)

simplify116.0ms (1.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite73.0ms (0.7%)

series360.0ms (3.5%)

simplify83.0ms (0.8%)

prune74.0ms (0.7%)

localize7.0ms (0.1%)

rewrite233.0ms (2.3%)

series416.0ms (4.1%)

simplify100.0ms (1%)

prune178.0ms (1.7%)

localize8.0ms (0.1%)

rewrite1.1s (10.3%)

series386.0ms (3.8%)

simplify151.0ms (1.5%)

prune600.0ms (5.9%)

localize9.0ms (0.1%)

rewrite148.0ms (1.4%)

series457.0ms (4.5%)

simplify89.0ms (0.9%)

prune119.0ms (1.2%)

regimes462.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (29.9%)

Profiling