Details

analyze320.0ms (10.4%)

Algorithm

1×

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	245×	body	128	valid
0.0ms	5×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	13×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify166.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
4×	`associate-r_binary64_13317` `add-cube-cbrt_binary64_13412` `pow1_binary64_13438` `add-log-exp_binary64_13416` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
3×	`associate-l_binary64_13318`
2×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `associate-+l+_binary64_13310` `associate-*r/_binary64_13319` `flip-+_binary64_13351` `flip3-+_binary64_13380`
1×	`prod-exp_binary64_13426` `+-commutative_binary64_13307` `sum-log_binary64_13468` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308` `distribute-lft-out_binary64_13328`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series102.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
51.0ms	(*.f64 x (+.f64 y z))

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4998	518
1	4998	518

prune33.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

Compiler

Compiled 663 to 294 computations (55.7% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
4×	`associate-r_binary64_13317` `add-cube-cbrt_binary64_13412` `pow1_binary64_13438` `add-log-exp_binary64_13416` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
3×	`associate-l_binary64_13318`
2×	`distribute-rgt-in_binary64_13327` `associate-+r+_binary64_13309` `distribute-lft-in_binary64_13326` `associate-*r/_binary64_13319` `flip-+_binary64_13351` `flip3-+_binary64_13380`
1×	`prod-exp_binary64_13426` `+-commutative_binary64_13307` `sum-log_binary64_13468` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308` `distribute-lft-out_binary64_13328`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series98.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
47.0ms	(*.f64 z (+.f64 x 5))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5063	518

prune38.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

Compiler

Compiled 655 to 362 computations (44.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
3.1b	(.f64 z (-.f64 (.f64 x x) 25))
7.2b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_13399`
13×	`*-un-lft-identity_binary64_13377`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
9×	`add-cube-cbrt_binary64_13412`
6×	`cancel-sign-sub-inv_binary64_13343`
5×	`associate-/r*_binary64_13321` `times-frac_binary64_13383` `pow1_binary64_13438` `add-log-exp_binary64_13416`
4×	`distribute-rgt-in_binary64_13327` `associate-r_binary64_13317` `distribute-lft-in_binary64_13326` `associate-*r/_binary64_13319`
3×	`difference-of-squares_binary64_13346` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l_binary64_13318`
2×	`prod-exp_binary64_13426` `associate-/l/_binary64_13324` `distribute-lft-out--_binary64_13329` `cbrt-unprod_binary64_13410` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `associate-/r/_binary64_13323` `sub-neg_binary64_13370`
1×	`+-commutative_binary64_13307` `div-inv_binary64_13374` `clear-num_binary64_13376` `sum-log_binary64_13468` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `associate-/l_binary64_13322` `flip3-+_binary64_13380`

Counts

3 → 69

Calls

3 calls:

12.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
9.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
9.0ms	(.f64 z (-.f64 (.f64 x x) 25))

series354.0ms (11.5%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
138.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
75.0ms	(.f64 z (-.f64 (.f64 x x) 25))

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5326	1324

prune73.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

Compiler

Compiled 1609 to 851 computations (47.1% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
7.8b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite75.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_13383`
149×	`add-sqr-sqrt_binary64_13399`
123×	`*-un-lft-identity_binary64_13377`
81×	`add-cube-cbrt_binary64_13412`
47×	`difference-of-squares_binary64_13346`
30×	`associate-/r*_binary64_13321`
21×	`distribute-lft-out--_binary64_13329`
11×	`associate-/r/_binary64_13323`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`associate-/l*_binary64_13322`
6×	`div-inv_binary64_13374` `flip3--_binary64_13381` `flip--_binary64_13352`
5×	`add-log-exp_binary64_13416`
4×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
3×	`pow1_binary64_13438`
2×	`associate-/l/_binary64_13324` `clear-num_binary64_13376` `frac-2neg_binary64_13388`
1×	`+-commutative_binary64_13307` `sum-log_binary64_13468` `div-sub_binary64_13382` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 179

Calls

3 calls:

26.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
15.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
10.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

series291.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

130.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
126.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
35.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4976	5138
1	4976	5138

prune210.0ms (6.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	188	5	193

Merged error: 0b

Counts

193 → 5

Compiler

Compiled 4785 to 2579 computations (46.1% saved)

regimes145.0ms (4.7%)

Compiler: Compiled 1356 to 1038 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample772.0ms (25.1%)

Algorithm

1×

intervals

Results

221.0ms	7687×	body	128	valid
20.0ms	625×	body	128	invalid
20.0ms	169×	body	1024	valid
7.0ms	93×	body	512	valid
3.0ms	51×	body	256	valid

Compiler

Compiled 338 to 262 computations (22.5% saved)

Details

analyze320.0ms (10.4%)

sample16.0ms (0.5%)

simplify166.0ms (5.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite18.0ms (0.6%)

series102.0ms (3.3%)

simplify72.0ms (2.4%)

prune33.0ms (1.1%)

localize9.0ms (0.3%)

rewrite14.0ms (0.5%)

series98.0ms (3.2%)

simplify71.0ms (2.3%)

prune38.0ms (1.2%)

localize10.0ms (0.3%)

rewrite36.0ms (1.2%)

series354.0ms (11.5%)

simplify56.0ms (1.8%)

prune73.0ms (2.4%)

localize12.0ms (0.4%)

rewrite75.0ms (2.4%)

series291.0ms (9.5%)

simplify73.0ms (2.4%)

prune210.0ms (6.8%)

regimes145.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample772.0ms (25.1%)

Profiling