Details

analyze1.2s (18%)

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify375.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4955	16
1	4955	16

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: 12.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
12.8b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_13036` `add-sqr-sqrt_binary64_13058`
10×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
7×	`add-cube-cbrt_binary64_13071`
5×	`add-log-exp_binary64_13075` `associate-l_binary64_12977` `associate-/r*_binary64_12980` `pow1_binary64_13097` `times-frac_binary64_13042`
4×	`associate-*l/_binary64_12979`
3×	`flip--_binary64_13011` `associate-r_binary64_12976` `distribute-lft-out--_binary64_12988` `flip3--_binary64_13040` `difference-of-squares_binary64_13005`
2×	`cbrt-undiv_binary64_13070` `associate-/r/_binary64_12982` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `flip3-+_binary64_13039` `flip-+_binary64_13010` `associate-/l_binary64_12981` `distribute-lft-out_binary64_12987` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 63

Calls

3 calls:

11.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
8.0ms	(*.f64 (-.f64 y z) t)

series530.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

283.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
186.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
61.0ms	(*.f64 (-.f64 y z) t)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5862	1014

prune71.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 1203 to 325 computations (73% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
10.1b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite67.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_13058`
39×	`*-un-lft-identity_binary64_13036`
31×	`times-frac_binary64_13042`
23×	`add-cube-cbrt_binary64_13071`
21×	`associate-r_binary64_12976`
10×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
8×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
5×	`add-log-exp_binary64_13075` `associate-l_binary64_12977` `associate-/r*_binary64_12980` `pow1_binary64_13097`
4×	`flip--_binary64_13011` `associate-/r/_binary64_12982` `flip3--_binary64_13040`
3×	`associate-/l*_binary64_12981`
2×	`cbrt-undiv_binary64_13070` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `div-exp_binary64_13087` `associate-*l/_binary64_12979` `prod-exp_binary64_13085` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`
1×	`clear-num_binary64_13035` `flip3-+_binary64_13039` `flip-+_binary64_13010` `associate-r/_binary64_12978` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 94

Calls

3 calls:

32.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
11.0ms	(/.f64 t (-.f64 a z))
8.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))

series645.0ms (9.3%)

Counts

3 → 9

Calls

3 calls:

280.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
258.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
107.0ms	(/.f64 t (-.f64 a z))

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4980	1595
1	4980	1595

prune111.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

Compiler

Compiled 1854 to 439 computations (76.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) t)
0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
11.2b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite99.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

200×	`times-frac_binary64_13042`
173×	`*-un-lft-identity_binary64_13036`
171×	`add-sqr-sqrt_binary64_13058`
87×	`add-cube-cbrt_binary64_13071`
42×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
22×	`associate-/r*_binary64_12980`
10×	`add-cbrt-cube_binary64_13072` `associate-/l*_binary64_12981` `add-exp-log_binary64_13074`
8×	`div-inv_binary64_13033`
5×	`add-log-exp_binary64_13075`
4×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087` `associate-/l/_binary64_12983`
3×	`div-sub_binary64_13041` `pow1_binary64_13097`
2×	`flip--_binary64_13011` `clear-num_binary64_13035` `flip3--_binary64_13040` `frac-2neg_binary64_13047`
1×	`associate-/r/_binary64_12982` `flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-lft-out_binary64_12987` `associate-+r-_binary64_12970` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 188

Calls

3 calls:

39.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
17.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
7.0ms	(/.f64 (-.f64 a z) t)

series666.0ms (9.6%)

Counts

3 → 9

Calls

3 calls:

334.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
266.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
65.0ms	(/.f64 (-.f64 a z) t)

simplify161.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4980	4720
1	4980	4720

prune170.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	199	4	203

Merged error: 0b

Counts

203 → 4

Compiler

Compiled 4090 to 675 computations (83.5% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))
0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
1.8b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_13058`
71×	`*-un-lft-identity_binary64_13036`
51×	`times-frac_binary64_13042`
31×	`associate-l_binary64_12977`
27×	`add-cube-cbrt_binary64_13071`
22×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
10×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
5×	`add-log-exp_binary64_13075` `associate-/r_binary64_12980` `pow1_binary64_13097` `associate-/l_binary64_12981`
4×	`associate-/r/_binary64_12982`
3×	`flip--_binary64_13011` `associate-r_binary64_12976` `flip3--_binary64_13040`
2×	`cbrt-undiv_binary64_13070` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `div-sub_binary64_13041` `associate-l/_binary64_12979` `flip3-+_binary64_13039` `flip-+_binary64_13010` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)
9.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))

series694.0ms (10%)

Counts

3 → 9

Calls

3 calls:

290.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))
287.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)
116.0ms	(/.f64 (-.f64 y z) (-.f64 a z))

simplify131.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4852	2093
1	4852	2093

prune133.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0b

Counts

126 → 4

Compiler

Compiled 2259 to 491 computations (78.3% saved)

regimes254.0ms (3.7%)

Compiler: Compiled 1806 to 1420 computations (21.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample1.2s (17.9%)

Algorithm

1×

intervals

Results

424.0ms	7998×	body	128	valid
41.0ms	734×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 302 to 226 computations (25.2% saved)

Details

analyze1.2s (18%)

sample28.0ms (0.4%)

simplify375.0ms (5.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite33.0ms (0.5%)

series530.0ms (7.7%)

simplify80.0ms (1.2%)

prune71.0ms (1%)

localize17.0ms (0.2%)

rewrite67.0ms (1%)

series645.0ms (9.3%)

simplify79.0ms (1.1%)

prune111.0ms (1.6%)

localize13.0ms (0.2%)

rewrite99.0ms (1.4%)

series666.0ms (9.6%)

simplify161.0ms (2.3%)

prune170.0ms (2.5%)

localize16.0ms (0.2%)

rewrite51.0ms (0.7%)

series694.0ms (10%)

simplify131.0ms (1.9%)

prune133.0ms (1.9%)

regimes254.0ms (3.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (17.9%)

Profiling