Details

analyze472.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	28
1	28	28
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune7.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_4209`
1×	`sum-log_binary64_4261` `pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `flip3-+_binary64_4173` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `distribute-lft-out_binary64_4121` `+-commutative_binary64_4100`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 183 to 43 computations (76.5% saved)

series138.0ms (3.5%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

130.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5248	233

prune15.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

0.0b

Counts

29 → 3

Compiler

Compiled 219 to 57 computations (74% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`associate-r_binary64_4110`
3×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `associate-l_binary64_4111`
2×	`associate-*r/_binary64_4112`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144` `distribute-lft-out_binary64_4121` `*-commutative_binary64_4101`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 249 to 80 computations (67.9% saved)

series94.0ms (2.4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

88.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify108.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4890	305
1	4890	305

prune27.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	37	4	41

Error

0.0b

Counts

41 → 4

Compiler

Compiled 328 to 96 computations (70.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

2.6b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
8.8b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
18.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

rewrite81.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_4192`
11×	`*-un-lft-identity_binary64_4170`
10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
7×	`add-cube-cbrt_binary64_4205`
5×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `times-frac_binary64_4176` `associate-/r*_binary64_4114`
4×	`difference-of-squares_binary64_4139` `flip3--_binary64_4174` `associate-r/_binary64_4112` `flip--_binary64_4145` `associate-r*_binary64_4110`
3×	`sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136` `associate-l_binary64_4111`
2×	`prod-exp_binary64_4219` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `cbrt-unprod_binary64_4203` `distribute-lft-out--_binary64_4122` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l_binary64_4115` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `-commutative_binary64_4101` `diff-log_binary64_4262`

Counts

3 → 67

Calls

3 calls:

10.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 1459 to 261 computations (82.1% saved)

series590.0ms (15%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

274.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
181.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
111.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 1140 to 811 computations (28.9% saved)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5043	1410

prune65.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Error

Counts

113 → 5

Compiler

Compiled 1595 to 327 computations (79.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 d1 (/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3))))
2.6b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
23.8b	(/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3)))

rewrite235.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

178×	`times-frac_binary64_4176`
123×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
81×	`add-cube-cbrt_binary64_4205`
48×	`difference-of-squares_binary64_4139`
30×	`associate-/r*_binary64_4114`
21×	`distribute-lft-out--_binary64_4122`
11×	`associate-/r/_binary64_4116`
10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`associate-/l*_binary64_4115`
7×	`flip3--_binary64_4174` `flip--_binary64_4145`
6×	`div-inv_binary64_4167`
5×	`add-log-exp_binary64_4209`
4×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204`
3×	`pow1_binary64_4231`
2×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `associate-/l/_binary64_4117`
1×	`div-sub_binary64_4175` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

Counts

3 → 181

Calls

3 calls:

21.0ms	(/.f64 d1 (/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3))))
8.0ms	(/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3)))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 4917 to 740 computations (85% saved)

series535.0ms (13.6%)

Error

Counts

3 → 51

Calls

3 calls:

275.0ms	(/.f64 d1 (/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3))))
120.0ms	(/.f64 (-.f64 d2 d3) (-.f64 (.f64 d2 d2) (.f64 d3 d3)))
107.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 1377 to 1024 computations (25.6% saved)

simplify132.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4969	5843
1	4969	5843

prune181.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	232	5	237

Error

Counts

237 → 5

Compiler

Compiled 4807 to 754 computations (84.3% saved)

regimes131.0ms (3.3%)

Accuracy

Total 0.0b remaining (92.3%)

Threshold costs 0.0b (92.3%)

Compiler

Compiled 940 to 686 computations (27% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

Remove

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample842.0ms (21.5%)

Algorithm

1×

intervals

Results

218.0ms	8000×	body	128	valid
17.0ms	691×	body	128	invalid

Compiler

Compiled 250 to 185 computations (26% saved)

Details

analyze472.0ms (12%)

sample22.0ms (0.6%)

simplify8.0ms (0.2%)

prune7.0ms (0.2%)

localize5.0ms (0.1%)

rewrite18.0ms (0.5%)

series138.0ms (3.5%)

simplify85.0ms (2.2%)

prune15.0ms (0.4%)

localize4.0ms (0.1%)

rewrite29.0ms (0.7%)

series94.0ms (2.4%)

simplify108.0ms (2.8%)

prune27.0ms (0.7%)

localize8.0ms (0.2%)

rewrite81.0ms (2.1%)

series590.0ms (15%)

simplify66.0ms (1.7%)

prune65.0ms (1.7%)

localize8.0ms (0.2%)

rewrite235.0ms (6%)

series535.0ms (13.6%)

simplify132.0ms (3.4%)

prune181.0ms (4.6%)

regimes131.0ms (3.3%)

bsearch0.0ms (0%)

simplify17.0ms (0.4%)

end0.0ms (0%)

sample842.0ms (21.5%)

Profiling