Details

analyze49.0ms

Algorithm

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample23.0ms

Algorithm

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	3×	body	128	nan
0.0ms	2×	body	128	invalid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	1583	18
1	1583	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.3b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `associate-r_binary64`
9×	`add-log-exp_binary64` `times-frac_binary64`
6×	`distribute-lft-out_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `frac-add_binary64` `associate-l*_binary64` `prod-exp_binary64` `sqrt-prod_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `sum-log_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 92

Calls

4 calls:

11.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
16.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

series153.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
73.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
29.0ms	(*.f64 3 (sqrt.f64 x))
25.0ms	(/.f64 1/9 x)

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5038	1449

prune117.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	12	106

Merged error: 0.0b

Counts

106 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 y -1)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))
0.4b	(/.f64 1/9 (sqrt.f64 x))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac_binary64`
165×	`*-un-lft-identity_binary64`
164×	`add-sqr-sqrt_binary64`
160×	`add-cube-cbrt_binary64`
148×	`sqrt-prod_binary64`
25×	`associate-/l*_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
11×	`pow1_binary64` `associate-r_binary64`
9×	`div-inv_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `frac-add_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 262

Calls

4 calls:

67.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 y -1)))
5.0ms	(*.f64 3 (sqrt.f64 x))
11.0ms	(/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))
4.0ms	(/.f64 1/9 (sqrt.f64 x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 y -1)))
28.0ms	(*.f64 3 (sqrt.f64 x))
29.0ms	(/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))
61.0ms	(/.f64 1/9 (sqrt.f64 x))

simplify92.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5296	5218

prune177.0ms

Filtered

140 candidates to 274 candidates (-95.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	272	2	274
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	273	13	286

Merged error: 0.0b

Counts

286 → 13

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(/.f64 1/9 x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-*r/_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64` `times-frac_binary64`
6×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `frac-add_binary64` `flip-+_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `sum-log_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 100

Calls

4 calls:

11.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
19.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
15.0ms	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
3.0ms	(/.f64 1/9 x)

series185.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (/.f64 1/9 x) (+.f64 y -1))
80.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
62.0ms	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
21.0ms	(/.f64 1/9 x)

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4916	1806
1	4916	1806

prune102.0ms

Filtered

77 candidates to 112 candidates (-45.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	10	11
Picked	0	1	1
Done	1	0	1
Total	112	13	125

Merged error: 0.0b

Counts

125 → 13

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3))
0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.3b	(.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3)
0.4b	(/.f64 1/3 (sqrt.f64 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
16×	`sqrt-prod_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
8×	`associate-r_binary64`
7×	`associate-l_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r/_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64` `associate-*l/_binary64`
3×	`associate-/l*_binary64`
2×	`frac-add_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3))
8.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
8.0ms	(.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3)
4.0ms	(/.f64 1/3 (sqrt.f64 x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3))
43.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
55.0ms	(.f64 (.f64 (sqrt.f64 x) (+.f64 y -1)) 3)
65.0ms	(/.f64 1/3 (sqrt.f64 x))

simplify87.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	1776
1	4942	1776

prune90.0ms

Filtered

83 candidates to 112 candidates (-34.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	5	6	11
Picked	1	0	1
Done	0	1	1
Total	115	10	125

Merged error: 0.0b

Counts

125 → 10

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	18	23

end0.0ms

sample505.0ms

Algorithm

intervals

Results

345.0ms	8000×	body	128	valid
6.0ms	138×	body	128	nan
3.0ms	62×	body	128	invalid

Details

analyze49.0ms

sample23.0ms

simplify143.0ms

prune4.0ms

localize8.0ms

rewrite42.0ms

series153.0ms

simplify59.0ms

prune117.0ms

localize9.0ms

rewrite120.0ms

series210.0ms

simplify92.0ms

prune177.0ms

localize8.0ms

rewrite56.0ms

series185.0ms

simplify63.0ms

prune102.0ms

localize8.0ms

rewrite40.0ms

series258.0ms

simplify87.0ms

prune90.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample505.0ms

Profiling