Details

analyze535.0ms

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%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

sample36.0ms

Algorithm

intervals

Results

9.0ms	189×	body	128	valid
7.0ms	37×	body	1024	valid
5.0ms	33×	body	1024	nan
3.0ms	20×	body	512	valid
2.0ms	18×	body	512	nan
1.0ms	10×	body	256	valid
0.0ms	5×	body	256	nan
0.0ms	9×	body	128	nan

simplify325.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (318.0ms)

Iter	Nodes	Cost
0	5144	18

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: 18.5b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
3.0b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.2b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
33×	`difference-of-squares_binary64`
19×	`add-cube-cbrt_binary64`
18×	`distribute-lft-out--_binary64`
16×	`log-prod_binary64`
8×	`associate--r+_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`associate-/l*_binary64`
4×	`log-div_binary64`
3×	`associate--r-_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `log-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 119

Calls

4 calls:

22.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
18.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
21.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
59.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
81.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
120.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

simplify81.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5521	2793

prune151.0ms

Filtered

93 candidates to 131 candidates (-40.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Merged error: 0.1b

Counts

132 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
4.2b	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
5.0b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
15×	`add-exp-log_binary64` `difference-of-squares_binary64`
11×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-l_binary64`
4×	`associate-/r/_binary64`
3×	`log-prod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `log-pow_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 1 y))
19.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
3.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
4.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 1 (-.f64 1 y))
51.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
126.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
79.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5046	2026

prune102.0ms

Filtered

91 candidates to 133 candidates (-46.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	133	4	137

Merged error: 0.1b

Counts

137 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
3.0b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.2b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.2b	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
22×	`log-prod_binary64`
12×	`difference-of-squares_binary64`
9×	`pow1_binary64`
8×	`add-cube-cbrt_binary64`
7×	`exp-sum_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `log-div_binary64`
5×	`log-pow_binary64`
4×	`flip3--_binary64` `add-cbrt-cube_binary64` `times-frac_binary64` `flip--_binary64` `exp-prod_binary64`
2×	`rem-log-exp_binary64` `exp-diff_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `rem-exp-log_binary64` `div-sub_binary64`

Counts

4 → 75

Calls

4 calls:

6.0ms	(exp.f64 (log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
22.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
18.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

469.0ms	(exp.f64 (log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
83.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
115.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
407.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4983	2600
1	4983	2600

prune93.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 0.1b

Counts

91 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

4.2b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.2b	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
4.2b	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
4.2b	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-prod_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
11×	`pow1_binary64`
10×	`difference-of-squares_binary64`
8×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `log-div_binary64`
7×	`log-pow_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`times-frac_binary64`

Counts

4 → 73

Calls

4 calls:

19.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
4.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
4.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

109.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
394.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
402.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
405.0ms	(log.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5061	3103

prune178.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

regimes119.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.0b

bsearch109.0ms

Steps

Iters	Range		Point
9	25134.431321532484	182585451597.209	3547952540.1314163
8	-134173741316.90501	-10407265.218186788	-131747692.78610392

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	165	59
1	165	59

end0.0ms

sample1.1s

Algorithm

intervals

Results

293.0ms	5817×	body	128	valid
199.0ms	1039×	body	1024	valid
140.0ms	963×	body	1024	nan
91.0ms	676×	body	512	valid
69.0ms	673×	body	512	nan
35.0ms	403×	body	256	valid
27.0ms	377×	body	256	nan
19.0ms	65×	body	2048	valid
17.0ms	501×	body	128	nan
1.0ms	3×	body	2048	nan

Details

analyze535.0ms

sample36.0ms

simplify325.0ms

prune2.0ms

localize9.0ms

rewrite84.0ms

series392.0ms

simplify81.0ms

prune151.0ms

localize10.0ms

rewrite44.0ms

series274.0ms

simplify65.0ms

prune102.0ms

localize11.0ms

rewrite57.0ms

series1.1s

simplify69.0ms

prune93.0ms

localize16.0ms

rewrite46.0ms

series1.3s

simplify60.0ms

prune178.0ms

regimes119.0ms

bsearch109.0ms

simplify5.0ms

end0.0ms

sample1.1s

Profiling