Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune7.0ms

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: 8.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.4b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 55

Calls

2 calls:

6.0ms	(/.f64 x0 (-.f64 1 x1))
15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

series122.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 x0 (-.f64 1 x1))
68.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4965	931
1	4965	931

prune39.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 6.7b

Counts

62 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
5.9b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
49×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `times-frac_binary64`
18×	`difference-of-squares_binary64`
11×	`pow1_binary64` `distribute-lft-out--_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
6×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
4×	`frac-times_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`associate-r/_binary64` `associate-/r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

12.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
7.0ms	(/.f64 x0 (-.f64 1 x1))
21.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

series273.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
59.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
60.0ms	(/.f64 x0 (-.f64 1 x1))
137.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

simplify93.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5415	1762

prune109.0ms

Filtered

85 candidates to 125 candidates (-47.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	125	2	127

Merged error: 5.2b

Counts

127 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 x1 (+.f64 x1 -2))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
5.9b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

7.0ms	(*.f64 x1 (+.f64 x1 -2))
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
7.0ms	(/.f64 x0 (-.f64 1 x1))
11.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

series291.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(*.f64 x1 (+.f64 x1 -2))
58.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
52.0ms	(/.f64 x0 (-.f64 1 x1))
135.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4932	1532
1	4932	1532

prune95.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 4.3b

Counts

104 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
4.8b	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
5.9b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64`
7×	`log-pow_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
5×	`pow1_binary64`
4×	`log-prod_binary64`
3×	`associate-/l*_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
7.0ms	(/.f64 x0 (-.f64 1 x1))
12.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
12.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

series562.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
50.0ms	(/.f64 x0 (-.f64 1 x1))
325.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
130.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5215	1762

prune102.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 3.2b

Counts

101 → 2

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 3.4b against oracle of 3.4b and baseline of 4.5b

bsearch15.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	108
1	58	108

end0.0ms

sample445.0ms

Algorithm

intervals

Results

207.0ms	8000×	pre	128	true
150.0ms	8000×	body	128	valid

Details

analyze3.0ms

sample16.0ms

simplify50.0ms

prune7.0ms

localize6.0ms

rewrite25.0ms

series122.0ms

simplify63.0ms

prune39.0ms

localize11.0ms

rewrite63.0ms

series273.0ms

simplify93.0ms

prune109.0ms

localize16.0ms

rewrite45.0ms

series291.0ms

simplify61.0ms

prune95.0ms

localize20.0ms

rewrite50.0ms

series562.0ms

simplify73.0ms

prune102.0ms

regimes20.0ms

bsearch15.0ms

simplify3.0ms

end0.0ms

sample445.0ms

Profiling