Details

analyze78.0ms

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

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	17×	body	80	overflowed

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune1.0ms

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: 0.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite12.0ms

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)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
46.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4971	899
1	4971	899

prune38.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.2b

Counts

52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b	(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.8b	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.8b	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

438×	`sqrt-prod_binary64`
384×	`times-frac_binary64`
364×	`add-sqr-sqrt_binary64`
331×	`*-un-lft-identity_binary64`
197×	`add-cube-cbrt_binary64`
94×	`swap-sqr_binary64`
59×	`distribute-lft-out_binary64`
48×	`associate-r_binary64` `associate-l_binary64`
25×	`unswap-sqr_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-/r*_binary64` `sqrt-div_binary64`
12×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`cbrt-undiv_binary64` `sqrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `pow-prod-up_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 397

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.0ms	(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
9.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.0ms	(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
98.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
124.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify225.0ms

Algorithm

egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4947	13446
1	4947	13446

prune173.0ms

Filtered

167 candidates to 409 candidates (-144.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	408	1	409
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	408	4	412

Merged error: 0.2b

Counts

412 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.5b	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.5b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.8b	(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

504×	`times-frac_binary64`
348×	`*-un-lft-identity_binary64`
308×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
254×	`sqrt-prod_binary64`
144×	`unpow-prod-down_binary64`
74×	`associate-/l*_binary64`
26×	`associate-/r*_binary64`
23×	`add-exp-log_binary64`
20×	`distribute-lft-out_binary64`
16×	`sqr-pow_binary64`
13×	`add-cbrt-cube_binary64`
12×	`div-exp_binary64`
8×	`div-inv_binary64`
6×	`cbrt-undiv_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `sqrt-div_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 507

Calls

4 calls:

11.0ms	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
11.0ms	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
13.0ms	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
111.0ms	(/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
168.0ms	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
113.0ms	(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 a))) 4) (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

simplify269.0ms

Algorithm

egg-herbie

Counts

519 → 519

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4937	23196
1	4937	23196

prune539.0ms

Filtered

317 candidates to 519 candidates (-63.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	519	0	519
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	519	4	523

Merged error: 0.2b

Counts

523 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify77.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5394	714

prune22.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.2b

Counts

44 → 4

regimes40.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	36
1	11	36

end0.0ms

sample393.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
15.0ms	612×	body	80	overflowed

Details

analyze78.0ms

sample13.0ms

simplify11.0ms

prune1.0ms

localize5.0ms

rewrite12.0ms

series67.0ms

simplify95.0ms

prune38.0ms

localize9.0ms

rewrite102.0ms

series314.0ms

simplify225.0ms

prune173.0ms

localize19.0ms

rewrite76.0ms

series504.0ms

simplify269.0ms

prune539.0ms

localize8.0ms

rewrite9.0ms

series62.0ms

simplify77.0ms

prune22.0ms

regimes40.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample393.0ms

Profiling