Details

analyze542.0ms (20.2%)

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify220.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (217.0ms)

Iter	Nodes	Cost
0	5487	9

prune7.0ms (0.3%)

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: 9.7b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
9.2b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms	(*.f64 x (-.f64 y z))

series32.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

23.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
9.0ms	(*.f64 x (-.f64 y z))

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5975	485

prune89.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	8	60

Merged error: 0b

Counts

60 → 8

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (-.f64 y z) (-.f64 t z))
1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series31.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
11.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5024	1163

prune115.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
8.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series44.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
11.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5078	3157

prune190.0ms (7.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	202	6	208

Merged error: 0b

Counts

208 → 6

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 y z))
0.0b	(/.f64 z (-.f64 y z))
1.7b	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))

rewrite52.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

174×	`*-un-lft-identity_binary64`
156×	`times-frac_binary64`
134×	`add-sqr-sqrt_binary64`
56×	`distribute-lft-out--_binary64`
54×	`add-cube-cbrt_binary64`
32×	`difference-of-squares_binary64`
28×	`associate-/r*_binary64`
24×	`associate-/r/_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-div_binary64` `frac-sub_binary64`

Counts

3 → 165

Calls

3 calls:

29.0ms	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))
6.0ms	(/.f64 z (-.f64 y z))
6.0ms	(/.f64 t (-.f64 y z))

series56.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))
8.0ms	(/.f64 t (-.f64 y z))
7.0ms	(/.f64 z (-.f64 y z))

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5784	2370

prune157.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Merged error: 0b

Counts

180 → 6

regimes323.0ms (12%)

Accuracy

Total 2.0b remaining (99.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	53
1	37	53

end0.0ms (0%)

sample487.0ms (18.1%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	80	valid
18.0ms	606×	body	80	invalid

Details

analyze542.0ms (20.2%)

sample20.0ms (0.7%)

simplify220.0ms (8.2%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite18.0ms (0.7%)

series32.0ms (1.2%)

simplify41.0ms (1.5%)

prune89.0ms (3.3%)

localize7.0ms (0.3%)

rewrite29.0ms (1.1%)

series31.0ms (1.1%)

simplify49.0ms (1.8%)

prune115.0ms (4.3%)

localize7.0ms (0.2%)

rewrite33.0ms (1.2%)

series44.0ms (1.6%)

simplify59.0ms (2.2%)

prune190.0ms (7.1%)

localize8.0ms (0.3%)

rewrite52.0ms (1.9%)

series56.0ms (2.1%)

simplify65.0ms (2.4%)

prune157.0ms (5.8%)

regimes323.0ms (12%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample487.0ms (18.1%)

Profiling