Details

analyze1.1s (23.3%)

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
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	102×	body	80	invalid

simplify357.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (354.0ms)

Iter	Nodes	Cost
0	4888	13
1	4888	13

prune8.0ms (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

Merged error: 7.4b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))
0.2b	(.f64 (.f64 z 9.0) t)
6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9.0) t)) (.f64 a 2.0))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9.0) t)) (.f64 a 2.0))
5.0ms	(.f64 (.f64 z 9.0) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))

series49.0ms (1%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9.0) t)) (.f64 a 2.0))
15.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))
5.0ms	(.f64 (.f64 z 9.0) t)

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5095	704

prune128.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	51	11	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	12	63

Merged error: 7.0b

Counts

63 → 12

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))
0.2b	(.f64 z (.f64 9.0 t))
6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) (.f64 a 2.0))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 53

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) (.f64 a 2.0))
5.0ms	(.f64 z (.f64 9.0 t))
4.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))

series43.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) (.f64 a 2.0))
15.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))
4.0ms	(.f64 z (.f64 9.0 t))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5089	703

prune113.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	63	11	74

Merged error: 7.0b

Counts

74 → 11

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))
0.2b	(.f64 z (.f64 9.0 t))
7.0b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) 2.0))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
25×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-l_binary64`
14×	`associate-r_binary64`
11×	`prod-exp_binary64`
10×	`pow1_binary64`
8×	`div-exp_binary64`
7×	`cbrt-unprod_binary64`
6×	`unswap-sqr_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64`

Counts

3 → 85

Calls

3 calls:

16.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) 2.0))
5.0ms	(.f64 z (.f64 9.0 t))
4.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))

series55.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9.0 t))) 2.0))
15.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9.0 t)))
4.0ms	(.f64 z (.f64 9.0 t))

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4984	1246
1	4984	1246

prune149.0ms (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 7.0b

Counts

105 → 10

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))
0.2b	(.f64 (.f64 z 9.0) t)
0.4b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0)))
6.9b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0))

rewrite54.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
232×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `1-exp_binary64` `prod-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 303

Calls

4 calls:

17.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0)))
8.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0))
6.0ms	(.f64 (.f64 z 9.0) t)
5.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))

series82.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0)))
23.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t)) 2.0))
15.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9.0) t))
4.0ms	(.f64 (.f64 z 9.0) t)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5147	7259

prune516.0ms (10.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	315	10	325

Merged error: 7.0b

Counts

325 → 10

regimes996.0ms (20.4%)

Accuracy

Total 0.4b remaining (5.4%)

Threshold costs 0.4b (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	13
1	59	13

end0.0ms (0%)

sample842.0ms (17.2%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	80	valid
131.0ms	3193×	body	80	invalid

Details

analyze1.1s (23.3%)

sample32.0ms (0.7%)

simplify357.0ms (7.3%)

prune8.0ms (0.2%)

localize10.0ms (0.2%)

rewrite18.0ms (0.4%)

series49.0ms (1%)

simplify37.0ms (0.8%)

prune128.0ms (2.6%)

localize9.0ms (0.2%)

rewrite21.0ms (0.4%)

series43.0ms (0.9%)

simplify34.0ms (0.7%)

prune113.0ms (2.3%)

localize11.0ms (0.2%)

rewrite29.0ms (0.6%)

series55.0ms (1.1%)

simplify55.0ms (1.1%)

prune149.0ms (3%)

localize11.0ms (0.2%)

rewrite54.0ms (1.1%)

series82.0ms (1.7%)

simplify88.0ms (1.8%)

prune516.0ms (10.6%)

regimes996.0ms (20.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample842.0ms (17.2%)

Profiling