Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample42.0ms

Algorithm

intervals

Results

12.0ms	256×	body	128	valid
9.0ms	179×	body	128	invalid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.2b	(/.f64 (*.f64 a b) 4)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 67

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
14.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(/.f64 (*.f64 a b) 4)

series585.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
301.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
175.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
29.0ms	(/.f64 (*.f64 a b) 4)

simplify69.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4970	1745
1	4970	1745

prune74.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
6×	`sum-log_binary64`
5×	`*-un-lft-identity_binary64`
4×	`diff-log_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `flip--_binary64`

Counts

3 → 43

Calls

3 calls:

6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
11.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

series558.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
295.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
176.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

simplify52.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5195	1446

prune51.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
0.3b	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
0.5b	(/.f64 b (cbrt.f64 4))
1.0b	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
39×	`cbrt-prod_binary64`
34×	`add-exp-log_binary64`
28×	`associate-r_binary64`
22×	`add-cbrt-cube_binary64`
13×	`pow1_binary64` `associate-l_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-/r*_binary64`
6×	`swap-sqr_binary64` `pow1/3_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow-prod-down_binary64`
2×	`pow-prod-up_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`associate-r/_binary64` `pow-plus_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64`

Counts

4 → 159

Calls

4 calls:

7.0ms	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
17.0ms	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
4.0ms	(/.f64 b (cbrt.f64 4))
6.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

series296.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
129.0ms	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
62.0ms	(/.f64 b (cbrt.f64 4))
0.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

simplify107.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4913	2085
1	4913	2085

prune181.0ms

Filtered

123 candidates to 169 candidates (-37.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Merged error: 0.0b

Counts

173 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b)))) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b))))
0.4b	(/.f64 1 (/.f64 4 (*.f64 a b)))
0.4b	(/.f64 4 (*.f64 a b))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
24×	`add-exp-log_binary64`
22×	`add-cube-cbrt_binary64`
18×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`div-exp_binary64`
8×	`associate-/r*_binary64` `div-inv_binary64`
7×	`cbrt-undiv_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64` `sum-log_binary64`
4×	`diff-log_binary64` `distribute-lft-out--_binary64`
3×	`distribute-lft-out_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `rec-exp_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `inv-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

4 → 113

Calls

4 calls:

21.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b)))) c)
17.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b))))
7.0ms	(/.f64 1 (/.f64 4 (*.f64 a b)))
5.0ms	(/.f64 4 (*.f64 a b))

series524.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b)))) c)
175.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 1 (/.f64 4 (*.f64 a b))))
28.0ms	(/.f64 1 (/.f64 4 (*.f64 a b)))
24.0ms	(/.f64 4 (*.f64 a b))

simplify65.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	2353
1	4991	2353

prune93.0ms

Filtered

80 candidates to 125 candidates (-56.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

regimes200.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

425.0ms	8000×	body	128	valid
217.0ms	4078×	body	128	invalid

Details

analyze1.5s

sample42.0ms

simplify63.0ms

prune7.0ms

localize13.0ms

rewrite42.0ms

series585.0ms

simplify69.0ms

prune74.0ms

localize13.0ms

rewrite32.0ms

series558.0ms

simplify52.0ms

prune51.0ms

localize20.0ms

rewrite52.0ms

series296.0ms

simplify107.0ms

prune181.0ms

localize15.0ms

rewrite64.0ms

series524.0ms

simplify65.0ms

prune93.0ms

regimes200.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling