Details

analyze759.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
4.0ms	83×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify208.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

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

Merged error: 12.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.0b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`cbrt-undiv_binary64_2158` `prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
1×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `pow1_binary64_2185` `associate-/r_binary64_2068` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `div-inv_binary64_2121` `times-frac_binary64_2130` `*-un-lft-identity_binary64_2124` `frac-2neg_binary64_2135`

Counts

1 → 21

Calls

1 calls:

7.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series74.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

74.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify118.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune41.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

Compiler

Compiled 290 to 99 computations (65.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.1b	(/.f64 b1 (/.f64 a2 b2))
7.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite81.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_2130`
229×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
57×	`associate-/r*_binary64_2068`
22×	`div-inv_binary64_2121`
16×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
6×	`associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
2×	`clear-num_binary64_2123` `pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-2neg_binary64_2135`

Counts

2 → 266

Calls

2 calls:

25.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
16.0ms	(/.f64 b1 (/.f64 a2 b2))

series149.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

102.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
47.0ms	(/.f64 b1 (/.f64 a2 b2))

simplify162.0ms (3%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4949	6175
1	4949	6175

prune275.0ms (5.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	267	5	272
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	271	8	279

Merged error: 0b

Counts

279 → 8

Compiler

Compiled 4776 to 819 computations (82.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))
5.0b	(*.f64 a1 (/.f64 a2 b2))
5.1b	(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))

rewrite65.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_2162`
49×	`times-frac_binary64_2130`
35×	`add-sqr-sqrt_binary64_2146`
31×	`add-cbrt-cube_binary64_2160`
30×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
25×	`div-exp_binary64_2175`
13×	`cbrt-undiv_binary64_2158` `associate-r_binary64_2064`
10×	`prod-exp_binary64_2173`
9×	`associate-/r*_binary64_2068`
7×	`div-inv_binary64_2121`
6×	`associate-/r/_binary64_2070` `associate-/l_binary64_2069` `pow1_binary64_2185` `associate-r/_binary64_2066` `cbrt-unprod_binary64_2157`
4×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
3×	`add-log-exp_binary64_2163` `associate-l_binary64_2065`
2×	`clear-num_binary64_2123` `unswap-sqr_binary64_2092` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `*-commutative_binary64_2055` `pow-flip_binary64_2198` `inv-pow_binary64_2209`

Counts

3 → 120

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))
16.0ms	(*.f64 a1 (/.f64 a2 b2))
7.0ms	(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))

series229.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(/.f64 b1 (*.f64 a1 (/.f64 a2 b2)))
63.0ms	(*.f64 a1 (/.f64 a2 b2))
62.0ms	(/.f64 1 (/.f64 b1 (*.f64 a1 (/.f64 a2 b2))))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4981	1696
1	4981	1696

prune102.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	129	8	137

Merged error: 0b

Counts

137 → 8

Compiler

Compiled 1708 to 553 computations (67.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.9b

(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2146`
22×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
13×	`associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
3×	`pow1_binary64_2185`
2×	`div-inv_binary64_2121`
1×	`pow-prod-down_binary64_2195` `-commutative_binary64_2055` `add-log-exp_binary64_2163` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134`

Counts

1 → 50

Calls

1 calls:

12.0ms

(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

series100.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

100.0ms

(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4984	713
1	4984	713

prune42.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Merged error: 0b

Counts

61 → 8

Compiler

Compiled 671 to 152 computations (77.3% saved)

regimes1.1s (21%)

Compiler: Compiled 5022 to 3541 computations (29.5% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	146
1	44	146

end0.0ms (0%)

sample1.5s (28.3%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
68.0ms	1836×	body	128	invalid

Compiler

Compiled 788 to 526 computations (33.2% saved)

Details

analyze759.0ms (14.3%)

sample35.0ms (0.7%)

simplify208.0ms (3.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series74.0ms (1.4%)

simplify118.0ms (2.2%)

prune41.0ms (0.8%)

localize12.0ms (0.2%)

rewrite81.0ms (1.5%)

series149.0ms (2.8%)

simplify162.0ms (3%)

prune275.0ms (5.2%)

localize7.0ms (0.1%)

rewrite65.0ms (1.2%)

series229.0ms (4.3%)

simplify93.0ms (1.8%)

prune102.0ms (1.9%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series100.0ms (1.9%)

simplify98.0ms (1.9%)

prune42.0ms (0.8%)

regimes1.1s (21%)

bsearch3.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (28.3%)

Profiling