Details

analyze664.0ms (15.7%)

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)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	68×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify213.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

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: 7.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.4b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_6271` `add-sqr-sqrt_binary64_6293`
10×	`add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
7×	`add-cube-cbrt_binary64_6306`
5×	`pow1_binary64_6332` `associate-l_binary64_6212` `add-log-exp_binary64_6310`
4×	`associate-*l/_binary64_6214`
3×	`associate-/r_binary64_6215` `associate-r*_binary64_6211` `times-frac_binary64_6277`
2×	`flip3--_binary64_6275` `flip--_binary64_6246` `prod-exp_binary64_6320` `associate-/l/_binary64_6218` `cbrt-unprod_binary64_6304` `cbrt-undiv_binary64_6305` `div-exp_binary64_6322`
1×	`+-commutative_binary64_6201` `unswap-sqr_binary64_6239` `distribute-lft-out_binary64_6222` `distribute-lft-out--_binary64_6223` `frac-2neg_binary64_6282` `flip3-+_binary64_6274` `pow-prod-down_binary64_6342` `associate-/l_binary64_6216` `clear-num_binary64_6270` `div-inv_binary64_6268` `difference-of-squares_binary64_6240` `-commutative_binary64_6202` `flip-+_binary64_6245` `sum-log_binary64_6362`

Counts

3 → 57

Calls

3 calls:

11.0ms	(*.f64 (-.f64 y x) z)
8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
6.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series241.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

106.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
77.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
58.0ms	(*.f64 (-.f64 y x) z)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4972	826
1	4972	826

prune129.0ms (3.1%)

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 2266 to 1191 computations (47.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
4.8b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_6277`
88×	`*-un-lft-identity_binary64_6271`
86×	`add-sqr-sqrt_binary64_6293`
58×	`add-cube-cbrt_binary64_6306`
14×	`distribute-lft-out--_binary64_6223` `difference-of-squares_binary64_6240`
13×	`associate-/r*_binary64_6215`
7×	`div-inv_binary64_6268` `add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
5×	`associate-/l*_binary64_6216`
4×	`add-log-exp_binary64_6310`
3×	`cbrt-undiv_binary64_6305` `div-exp_binary64_6322`
2×	`pow1_binary64_6332` `div-sub_binary64_6276` `associate-/l/_binary64_6218`
1×	`+-commutative_binary64_6201` `distribute-lft-out_binary64_6222` `frac-2neg_binary64_6282` `flip3-+_binary64_6274` `flip3--_binary64_6275` `flip--_binary64_6246` `clear-num_binary64_6270` `associate-/r/_binary64_6217` `flip-+_binary64_6245` `associate-+r-_binary64_6205` `sum-log_binary64_6362`

Counts

2 → 114

Calls

2 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
11.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series185.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
77.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	2589
1	4982	2589

prune154.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

Compiler

Compiled 3371 to 1249 computations (62.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 y x) (/.f64 (cbrt.f64 t) (cbrt.f64 z))))

rewrite156.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`times-frac_binary64_6277`
290×	`add-sqr-sqrt_binary64_6293`
254×	`*-un-lft-identity_binary64_6271`
205×	`associate-r_binary64_6211`
197×	`cbrt-prod_binary64_6302`
174×	`add-cube-cbrt_binary64_6306`
73×	`add-exp-log_binary64_6309`
40×	`distribute-lft-out--_binary64_6223` `difference-of-squares_binary64_6240`
39×	`add-cbrt-cube_binary64_6307`
27×	`prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `cbrt-undiv_binary64_6305` `div-exp_binary64_6322`
12×	`unswap-sqr_binary64_6239`
7×	`div-inv_binary64_6268`
6×	`pow1_binary64_6332`
5×	`associate-l_binary64_6212`
4×	`add-log-exp_binary64_6310`
3×	`pow1/3_binary64_6353`
1×	`pow-prod-down_binary64_6342` `frac-times_binary64_6281` `associate-l/_binary64_6214` `associate-/r/_binary64_6217` `-commutative_binary64_6202` `associate-*r/_binary64_6213`

Counts

4 → 297

Calls

4 calls:

88.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 y x) (/.f64 (cbrt.f64 t) (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series607.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)
142.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 y x) (/.f64 (cbrt.f64 t) (cbrt.f64 z))))

simplify107.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5105	9063

prune338.0ms (8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	309	7	316

Merged error: 0b

Counts

316 → 7

Compiler

Compiled 9769 to 2320 computations (76.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
4.7b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_6293`
13×	`associate-r_binary64_6211`
12×	`*-un-lft-identity_binary64_6271`
10×	`add-cube-cbrt_binary64_6306` `times-frac_binary64_6277`
7×	`add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
5×	`associate-l_binary64_6212`
4×	`pow1_binary64_6332` `add-log-exp_binary64_6310`
2×	`unswap-sqr_binary64_6239` `flip3--_binary64_6275` `flip--_binary64_6246` `frac-times_binary64_6281` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `associate-*l/_binary64_6214`
1×	`+-commutative_binary64_6201` `distribute-lft-out--_binary64_6223` `flip3-+_binary64_6274` `pow-prod-down_binary64_6342` `div-inv_binary64_6268` `cbrt-undiv_binary64_6305` `difference-of-squares_binary64_6240` `-commutative_binary64_6202` `flip-+_binary64_6245` `associate-r/_binary64_6213` `div-exp_binary64_6322` `sum-log_binary64_6362`

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)))

series191.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

113.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
78.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5329	832

prune34.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	55	7	62

Merged error: 0b

Counts

62 → 7

Compiler

Compiled 827 to 193 computations (76.7% saved)

regimes61.0ms (1.4%)

Compiler: Compiled 384 to 316 computations (17.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	37
1	27	37

end0.0ms (0%)

sample777.0ms (18.4%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
65.0ms	1996×	body	128	invalid

Compiler

Compiled 162 to 119 computations (26.5% saved)

Details

analyze664.0ms (15.7%)

sample25.0ms (0.6%)

simplify213.0ms (5%)

prune2.0ms (0%)

localize6.0ms (0.2%)

rewrite30.0ms (0.7%)

series241.0ms (5.7%)

simplify67.0ms (1.6%)

prune129.0ms (3.1%)

localize10.0ms (0.2%)

rewrite47.0ms (1.1%)

series185.0ms (4.4%)

simplify69.0ms (1.6%)

prune154.0ms (3.6%)

localize16.0ms (0.4%)

rewrite156.0ms (3.7%)

series607.0ms (14.4%)

simplify107.0ms (2.5%)

prune338.0ms (8%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series191.0ms (4.5%)

simplify64.0ms (1.5%)

prune34.0ms (0.8%)

regimes61.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample777.0ms (18.4%)

Profiling