Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample82.0ms

Algorithm

intervals

Results

48.0ms	110×	body	1280	valid
19.0ms	77×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	10×	body	80	valid

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4905	8
1	4905	8

prune5.0ms

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: 57.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

16.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
13.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify84.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5415	1237

prune137.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
6.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series23.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
9.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5106	723

prune82.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.9b	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
5.9b	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64`
106×	`add-sqr-sqrt_binary64`
96×	`times-frac_binary64`
66×	`log-prod_binary64`
60×	`sqrt-prod_binary64`
52×	`add-cube-cbrt_binary64`
36×	`difference-of-squares_binary64`
26×	`distribute-lft-out_binary64`
18×	`distribute-lft-out--_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64`
8×	`associate-/r*_binary64` `pow1_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
6×	`log-pow_binary64`
4×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

4 → 192

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
10.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
12.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
9.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

simplify71.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5860	2746

prune280.0ms

Filtered

126 candidates to 204 candidates (-61.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	205	4	209

Merged error: 0.0b

Counts

209 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))
5.9b	(log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))))
5.9b	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

150×	`add-sqr-sqrt_binary64`
143×	`*-un-lft-identity_binary64`
116×	`times-frac_binary64`
90×	`difference-of-squares_binary64`
82×	`log-prod_binary64`
76×	`sqrt-prod_binary64`
54×	`unpow-prod-down_binary64` `cube-prod_binary64`
40×	`associate-/l*_binary64`
33×	`add-cube-cbrt_binary64`
30×	`sqr-pow_binary64`
27×	`distribute-lft-out--_binary64`
20×	`associate-/r/_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
13×	`distribute-lft-out_binary64` `add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `frac-times_binary64`
6×	`log-pow_binary64`
5×	`associate-/r*_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `associate-r/_binary64` `div-inv_binary64` `associate-l/_binary64`
3×	`difference-cubes_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cube-mult_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64` `sqrt-div_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64`

Counts

4 → 251

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
27.0ms	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))
27.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))))
10.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.0ms	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))
13.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 eps 3)) (.f64 (+.f64 1 eps) (+.f64 1 (+.f64 eps (.f64 eps eps)))))))
9.0ms	(log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))

simplify58.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5259	5023

prune294.0ms

Filtered

143 candidates to 263 candidates (-83.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	262	1	263
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	262	5	267

Merged error: 0.0b

Counts

267 → 5

regimes111.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	15
1	43	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	3382×	body	1280	valid
614.0ms	2454×	body	640	valid
189.0ms	1285×	body	320	valid
59.0ms	653×	body	160	valid
9.0ms	226×	body	80	valid

Details

analyze4.0ms

sample82.0ms

simplify153.0ms

prune5.0ms

localize5.0ms

rewrite32.0ms

series19.0ms

simplify84.0ms

prune137.0ms

localize9.0ms

rewrite22.0ms

series23.0ms

simplify51.0ms

prune82.0ms

localize7.0ms

rewrite48.0ms

series24.0ms

simplify71.0ms

prune280.0ms

localize20.0ms

rewrite89.0ms

series32.0ms

simplify58.0ms

prune294.0ms

regimes111.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling