Details

analyze76.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	26×	body	80	overflowed

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms

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: 1.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune49.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.9b

Counts

52 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64`
8×	`log-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`log-div_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `associate--r+_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`distribute-lft-out_binary64` `log-pow_binary64` `exp-sum_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 66

Calls

4 calls:

5.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
10.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify68.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4898	734
1	4898	734

prune62.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0.9b

Counts

83 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 153

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
26.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
14.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5308	2178

prune87.0ms

Filtered

80 candidates to 165 candidates (-106.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Merged error: 0.9b

Counts

170 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.2b	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.4b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac_binary64`
306×	`*-un-lft-identity_binary64`
232×	`sqrt-prod_binary64`
192×	`add-sqr-sqrt_binary64`
190×	`add-cube-cbrt_binary64`
58×	`distribute-lft-out_binary64`
30×	`associate-/l*_binary64`
24×	`sqrt-div_binary64`
20×	`associate-/r/_binary64`
14×	`associate-/r*_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cbrt-cube_binary64`
10×	`div-inv_binary64`
9×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 317

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
20.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify97.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4966	6657
1	4966	6657

prune124.0ms

Filtered

140 candidates to 329 candidates (-135.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	329	0	329
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	329	5	334

Merged error: 0.9b

Counts

334 → 5

regimes199.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample390.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
16.0ms	682×	body	80	overflowed

Details

analyze76.0ms

sample14.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series19.0ms

simplify60.0ms

prune49.0ms

localize11.0ms

rewrite25.0ms

series40.0ms

simplify68.0ms

prune62.0ms

localize9.0ms

rewrite39.0ms

series61.0ms

simplify41.0ms

prune87.0ms

localize7.0ms

rewrite61.0ms

series57.0ms

simplify97.0ms

prune124.0ms

regimes199.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample390.0ms

Profiling