Details

analyze2.8s (21.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4800	143
1	4800	143
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14
24.8%	73.7%	1.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 20 to 20 computations (0% saved)

sample1.1s (8.1%)

Algorithm

2×

intervals

Results

17.0ms	512×	body	128	valid
8.0ms	196×	body	128	invalid

Compiler

Compiled 3509 to 5259 computations (-49.9% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune3.0ms (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

Error

7.8b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(-.f64 (.f64 x y) (.f64 z t))
7.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

Rules

10×	`add-cube-cbrt_binary64_23642` `add-sqr-sqrt_binary64_23629` `*-un-lft-identity_binary64_23607`
9×	`times-frac_binary64_23613`
4×	`add-exp-log_binary64_23645` `add-log-exp_binary64_23646` `add-cbrt-cube_binary64_23643`
3×	`associate-/l_binary64_23552` `associate-/r_binary64_23551`
2×	`pow1_binary64_23668` `flip3--_binary64_23611` `associate-/l/_binary64_23554` `flip--_binary64_23582`
1×	`div-exp_binary64_23658` `cbrt-undiv_binary64_23641` `frac-2neg_binary64_23618` `div-sub_binary64_23612` `clear-num_binary64_23606` `div-inv_binary64_23604` `diff-log_binary64_23699` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573`

Counts

2 → 42

Calls

2 calls:

8.0ms	(-.f64 (.f64 x y) (.f64 z t))
6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 797 to 150 computations (81.2% saved)

series679.0ms (5.1%)

Error

7.7b

Counts

2 → 51

Calls

2 calls:

441.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
212.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1095 to 752 computations (31.3% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4946	1303
1	4946	1303

prune81.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Error

7.5b

Counts

94 → 11

Compiler

Compiled 1286 to 264 computations (79.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(-.f64 (.f64 x y) (.f64 z t))
7.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite72.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

17×	`add-sqr-sqrt_binary64_23629`
13×	`associate-r_binary64_23547`
11×	`add-exp-log_binary64_23645` `*-un-lft-identity_binary64_23607` `times-frac_binary64_23613`
10×	`add-cube-cbrt_binary64_23642`
7×	`add-cbrt-cube_binary64_23643`
4×	`pow1_binary64_23668` `prod-exp_binary64_23656` `add-log-exp_binary64_23646`
3×	`flip3--_binary64_23611` `flip--_binary64_23582` `unswap-sqr_binary64_23575` `associate-l_binary64_23548`
2×	`div-exp_binary64_23658` `cbrt-unprod_binary64_23640` `frac-times_binary64_23617` `associate-*l/_binary64_23550`
1×	`pow-prod-down_binary64_23678` `1-exp_binary64_23651` `rec-exp_binary64_23657` `cbrt-undiv_binary64_23641` `un-div-inv_binary64_23605` `associate-r/_binary64_23549` `div-inv_binary64_23604` `-commutative_binary64_23538` `diff-log_binary64_23699` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573`

Counts

2 → 52

Calls

2 calls:

10.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1079 to 363 computations (66.4% saved)

series708.0ms (5.4%)

Error

7.5b

Counts

2 → 51

Calls

2 calls:

458.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
221.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1215 to 890 computations (26.7% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5304	1414

prune87.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	100	14	114

Error

7.5b

Counts

114 → 14

Compiler

Compiled 1567 to 487 computations (68.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
0.5b	(-.f64 (.f64 x y) (.f64 t z))
7.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))

rewrite170.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

90×	`times-frac_binary64_23613`
55×	`add-cube-cbrt_binary64_23642` `add-sqr-sqrt_binary64_23629` `*-un-lft-identity_binary64_23607`
18×	`associate-/r*_binary64_23551`
16×	`add-exp-log_binary64_23645`
11×	`associate-/r/_binary64_23553`
10×	`add-cbrt-cube_binary64_23643`
8×	`div-exp_binary64_23658`
6×	`div-inv_binary64_23604` `flip3--_binary64_23611` `flip--_binary64_23582` `associate-/l*_binary64_23552`
5×	`add-log-exp_binary64_23646`
4×	`pow1_binary64_23668` `cbrt-undiv_binary64_23641`
2×	`frac-2neg_binary64_23618` `clear-num_binary64_23606` `1-exp_binary64_23651` `rec-exp_binary64_23657`
1×	`diff-log_binary64_23699` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573` `inv-pow_binary64_23692` `pow-flip_binary64_23681`

Counts

3 → 125

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
5.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3006 to 798 computations (73.5% saved)

series1.1s (8.2%)

Error

7.5b

Counts

3 → 84

Calls

3 calls:

417.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
386.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
209.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3042 to 2173 computations (28.6% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4973	4577
1	4973	4577

prune180.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	211	12	223

Error

7.5b

Counts

223 → 12

Compiler

Compiled 3975 to 968 computations (75.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
0.5b	(-.f64 (.f64 x y) (.f64 t z))
7.6b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 t z))))

rewrite527.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

474×	`times-frac_binary64_23613`
221×	`add-cube-cbrt_binary64_23642` `add-sqr-sqrt_binary64_23629` `*-un-lft-identity_binary64_23607`
47×	`add-exp-log_binary64_23645`
34×	`div-exp_binary64_23658`
32×	`div-inv_binary64_23604`
31×	`associate-/r/_binary64_23553`
18×	`associate-/r*_binary64_23551`
17×	`add-cbrt-cube_binary64_23643`
16×	`flip3--_binary64_23611` `flip--_binary64_23582` `associate-/l*_binary64_23552`
9×	`1-exp_binary64_23651` `rec-exp_binary64_23657` `cbrt-undiv_binary64_23641`
5×	`add-log-exp_binary64_23646`
4×	`pow1_binary64_23668`
2×	`frac-2neg_binary64_23618` `clear-num_binary64_23606`
1×	`associate-/l/_binary64_23554` `diff-log_binary64_23699` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573` `inv-pow_binary64_23692` `pow-flip_binary64_23681`

Counts

3 → 300

Calls

3 calls:

15.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 t z))))
5.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 9169 to 3951 computations (56.9% saved)

series976.0ms (7.4%)

Error

7.5b

Counts

3 → 81

Calls

3 calls:

457.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 t z))))
229.0ms	(-.f64 (.f64 x y) (.f64 t z))
222.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3015 to 2312 computations (23.3% saved)

simplify149.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	11351
1	4971	11351

prune411.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	381	12	393

Error

7.5b

Counts

393 → 12

Compiler

Compiled 8627 to 2598 computations (69.9% saved)

regimes1.5s (11.7%)

Accuracy

Total 0.4b remaining (4.6%)

Threshold costs 0.4b (4.6%)

Compiler

Compiled 16227 to 11871 computations (26.8% saved)

bsearch0.0ms (0%)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

Remove

(sort z t)

(sort x y)

Compiler

Compiled 36 to 36 computations (0% saved)

end0.0ms (0%)

sample2.3s (17.6%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	128	valid
107.0ms	3136×	body	128	invalid

Compiler

Compiled 1855 to 1351 computations (27.2% saved)

Details

analyze2.8s (21.1%)

sample1.1s (8.1%)

simplify36.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite64.0ms (0.5%)

series679.0ms (5.1%)

simplify62.0ms (0.5%)

prune81.0ms (0.6%)

localize8.0ms (0.1%)

rewrite72.0ms (0.5%)

series708.0ms (5.4%)

simplify61.0ms (0.5%)

prune87.0ms (0.7%)

localize8.0ms (0.1%)

rewrite170.0ms (1.3%)

series1.1s (8.2%)

simplify92.0ms (0.7%)

prune180.0ms (1.4%)

localize12.0ms (0.1%)

rewrite527.0ms (4%)

series976.0ms (7.4%)

simplify149.0ms (1.1%)

prune411.0ms (3.1%)

regimes1.5s (11.7%)

bsearch0.0ms (0%)

simplify23.0ms (0.2%)

end0.0ms (0%)

sample2.3s (17.6%)

Profiling