Details

analyze660.0ms (15.2%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	69×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune3.0ms (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: 7.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
7.6b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series435.0ms (10%)

Counts

3 → 9

Calls

3 calls:

302.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
74.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
59.0ms	(*.f64 (-.f64 y x) z)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune121.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

Compiler

Compiled 2120 to 1032 computations (51.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.3b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

22.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series183.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
74.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4985	2589
1	4985	2589

prune148.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

Compiler

Compiled 3342 to 1141 computations (65.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.4b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series182.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
75.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5338	832

prune38.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	55	6	61

Merged error: 0b

Counts

61 → 6

Compiler

Compiled 880 to 223 computations (74.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
3.6b	(/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z)))
4.5b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z))))

rewrite114.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

423×	`times-frac_binary64`
294×	`add-sqr-sqrt_binary64`
285×	`*-un-lft-identity_binary64`
195×	`add-cube-cbrt_binary64`
115×	`associate-r_binary64`
106×	`cbrt-prod_binary64`
45×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
30×	`add-exp-log_binary64`
22×	`associate-/r*_binary64`
21×	`add-cbrt-cube_binary64`
13×	`div-inv_binary64`
9×	`pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64`
2×	`associate-/l/_binary64` `pow1/3_binary64` `associate-/r/_binary64`
1×	`flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 320

Calls

4 calls:

50.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z))))
13.0ms	(/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series759.0ms (17.5%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z)))
203.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 (-.f64 y x) (/.f64 t (cbrt.f64 z))))
160.0ms	(cbrt.f64 z)
152.0ms	(cbrt.f64 z)

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5068	7466

prune298.0ms (6.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	332	6	338

Merged error: 0b

Counts

338 → 6

Compiler

Compiled 8335 to 1725 computations (79.3% saved)

regimes121.0ms (2.8%)

Compiler: Compiled 426 to 318 computations (25.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	75
1	37	75

end0.0ms (0%)

sample771.0ms (17.8%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
75.0ms	2180×	body	128	invalid

Compiler

Compiled 176 to 108 computations (38.6% saved)

Details

analyze660.0ms (15.2%)

sample30.0ms (0.7%)

simplify53.0ms (1.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series435.0ms (10%)

simplify63.0ms (1.5%)

prune121.0ms (2.8%)

localize7.0ms (0.2%)

rewrite44.0ms (1%)

series183.0ms (4.2%)

simplify71.0ms (1.6%)

prune148.0ms (3.4%)

localize7.0ms (0.2%)

rewrite19.0ms (0.4%)

series182.0ms (4.2%)

simplify68.0ms (1.6%)

prune38.0ms (0.9%)

localize12.0ms (0.3%)

rewrite114.0ms (2.6%)

series759.0ms (17.5%)

simplify91.0ms (2.1%)

prune298.0ms (6.9%)

regimes121.0ms (2.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample771.0ms (17.8%)

Profiling