Details

analyze562.0ms (13.6%)

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify271.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5722	13

prune6.0ms (0.1%)

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 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
11.9b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_16274`
12×	`*-un-lft-identity_binary64_16253`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
6×	`add-cube-cbrt_binary64_16285`
5×	`times-frac_binary64_16259` `associate-r_binary64_16195` `associate-/r*_binary64_16199`
4×	`associate-*r/_binary64_16197` `pow1_binary64_16311`
3×	`difference-of-squares_binary64_16222` `flip--_binary64_16228` `distribute-lft-out--_binary64_16207` `flip3--_binary64_16257` `associate-l_binary64_16196`
2×	`cbrt-unprod_binary64_16283` `add-log-exp_binary64_16289` `div-exp_binary64_16301` `associate-/l/_binary64_16202` `associate-/r/_binary64_16201` `prod-exp_binary64_16299` `sub-neg_binary64_16246` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `-commutative_binary64_16186` `unswap-sqr_binary64_16221` `distribute-rgt-in_binary64_16205` `div-inv_binary64_16250` `associate-/l_binary64_16200` `distribute-lft-in_binary64_16204` `frac-2neg_binary64_16264`

Counts

2 → 53

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms	(*.f64 x (-.f64 y z))

series234.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

169.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
65.0ms	(*.f64 x (-.f64 y z))

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5001	716

prune55.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

Compiler

Compiled 880 to 250 computations (71.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_16274`
70×	`*-un-lft-identity_binary64_16253`
51×	`times-frac_binary64_16259`
31×	`associate-r_binary64_16195`
26×	`add-cube-cbrt_binary64_16285`
22×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
5×	`associate-/l_binary64_16200` `associate-/r_binary64_16199`
4×	`associate-/r/_binary64_16201` `pow1_binary64_16311`
3×	`flip--_binary64_16228` `flip3--_binary64_16257` `associate-l_binary64_16196`
2×	`cbrt-unprod_binary64_16283` `add-log-exp_binary64_16289` `unswap-sqr_binary64_16221` `div-exp_binary64_16301` `div-inv_binary64_16250` `associate-/l/_binary64_16202` `prod-exp_binary64_16299` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `-commutative_binary64_16186` `associate-r/_binary64_16197` `div-sub_binary64_16258` `frac-2neg_binary64_16264`

Counts

2 → 102

Calls

2 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series272.0ms (6.6%)

Counts

2 → 6

Calls

2 calls:

181.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
91.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5261	1767

prune79.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	107	8	115

Merged error: 0b

Counts

115 → 8

Compiler

Compiled 1872 to 373 computations (80.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite49.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16259`
194×	`add-sqr-sqrt_binary64_16274` `*-un-lft-identity_binary64_16253`
90×	`add-cube-cbrt_binary64_16285`
52×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
36×	`associate-/r*_binary64_16199`
11×	`associate-/r/_binary64_16201`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
8×	`associate-/l*_binary64_16200`
6×	`div-inv_binary64_16250` `flip--_binary64_16228` `flip3--_binary64_16257`
4×	`div-exp_binary64_16301` `cbrt-undiv_binary64_16284`
2×	`clear-num_binary64_16252` `add-log-exp_binary64_16289` `associate-/l/_binary64_16202` `pow1_binary64_16311` `frac-2neg_binary64_16264`
1×	`div-sub_binary64_16258`

Counts

2 → 194

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series401.0ms (9.7%)

Counts

2 → 6

Calls

2 calls:

309.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
92.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5028	4887

prune142.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	202	6	208

Merged error: 0b

Counts

208 → 6

Compiler

Compiled 3911 to 572 computations (85.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 t z))
0.2b	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
1.6b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_16274`
41×	`*-un-lft-identity_binary64_16253`
32×	`times-frac_binary64_16259`
31×	`add-exp-log_binary64_16288`
24×	`add-cube-cbrt_binary64_16285`
22×	`associate-r_binary64_16195`
19×	`add-cbrt-cube_binary64_16286`
13×	`prod-exp_binary64_16299`
11×	`pow1_binary64_16311`
8×	`associate-r/_binary64_16197` `difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207` `associate-l*_binary64_16196`
7×	`cbrt-unprod_binary64_16283`
6×	`div-exp_binary64_16301` `flip--_binary64_16228` `flip3--_binary64_16257`
5×	`associate-/r*_binary64_16199`
4×	`pow-prod-down_binary64_16321` `frac-times_binary64_16263` `associate-*l/_binary64_16198` `associate-/r/_binary64_16201`
3×	`add-log-exp_binary64_16289` `unswap-sqr_binary64_16221` `1-exp_binary64_16294` `rec-exp_binary64_16300` `associate-/l*_binary64_16200` `cbrt-undiv_binary64_16284`
2×	`*-commutative_binary64_16186` `div-inv_binary64_16250` `un-div-inv_binary64_16251`
1×	`clear-num_binary64_16252` `inv-pow_binary64_16335` `pow-flip_binary64_16324` `frac-2neg_binary64_16264`

Counts

3 → 119

Calls

3 calls:

16.0ms	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
14.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
6.0ms	(/.f64 1 (-.f64 t z))

series311.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

180.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 (-.f64 t z))))
87.0ms	(*.f64 (-.f64 y z) (/.f64 1 (-.f64 t z)))
44.0ms	(/.f64 1 (-.f64 t z))

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	1616
1	4980	1616

prune86.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	128	6	134

Merged error: 0b

Counts

134 → 6

Compiler

Compiled 1929 to 635 computations (67.1% saved)

regimes260.0ms (6.3%)

Compiler: Compiled 2289 to 1614 computations (29.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample996.0ms (24.1%)

Algorithm

1×

intervals

Results

270.0ms	8000×	body	128	valid
20.0ms	610×	body	128	invalid

Compiler

Compiled 462 to 330 computations (28.6% saved)

Details

analyze562.0ms (13.6%)

sample19.0ms (0.5%)

simplify271.0ms (6.6%)

prune6.0ms (0.1%)

localize7.0ms (0.2%)

rewrite22.0ms (0.5%)

series234.0ms (5.7%)

simplify46.0ms (1.1%)

prune55.0ms (1.3%)

localize7.0ms (0.2%)

rewrite36.0ms (0.9%)

series272.0ms (6.6%)

simplify51.0ms (1.2%)

prune79.0ms (1.9%)

localize7.0ms (0.2%)

rewrite49.0ms (1.2%)

series401.0ms (9.7%)

simplify90.0ms (2.2%)

prune142.0ms (3.4%)

localize9.0ms (0.2%)

rewrite47.0ms (1.1%)

series311.0ms (7.5%)

simplify71.0ms (1.7%)

prune86.0ms (2.1%)

regimes260.0ms (6.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample996.0ms (24.1%)

Profiling