Details

analyze982.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample31.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify261.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	4849	16
1	4849	16

prune8.0ms

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: 10.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) t)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
11.4b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_5695` `*-un-lft-identity_binary64_5710`
10×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682`
7×	`add-cube-cbrt_binary64_5681`
5×	`associate-l_binary64_5770` `associate-/r*_binary64_5773` `times-frac_binary64_5705` `pow1_binary64_5656` `add-log-exp_binary64_5675`
4×	`associate-*l/_binary64_5772`
3×	`difference-of-squares_binary64_5739` `associate-r_binary64_5769` `flip--_binary64_5736` `distribute-lft-out--_binary64_5755` `flip3--_binary64_5709`
2×	`cbrt-unprod_binary64_5679` `div-exp_binary64_5663` `prod-exp_binary64_5661` `cbrt-undiv_binary64_5680` `associate-/l/_binary64_5776` `associate-/r/_binary64_5775`
1×	`clear-num_binary64_5713` `frac-2neg_binary64_5703` `sum-log_binary64_5625` `unswap-sqr_binary64_5738` `distribute-lft-out_binary64_5754` `associate-/l_binary64_5774` `-commutative_binary64_5778` `flip3-+_binary64_5708` `div-inv_binary64_5711` `pow-prod-down_binary64_5637` `flip-+_binary64_5735` `+-commutative_binary64_5777`

Counts

3 → 63

Calls

3 calls:

7.0ms	(*.f64 (-.f64 y z) t)
13.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
9.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

series201.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(*.f64 (-.f64 y z) t)
103.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
70.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

simplify64.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5014	1014

prune280.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
8.7b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_5695`
39×	`*-un-lft-identity_binary64_5710`
31×	`times-frac_binary64_5705`
23×	`add-cube-cbrt_binary64_5681`
21×	`associate-r_binary64_5769`
10×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682`
8×	`difference-of-squares_binary64_5739` `distribute-lft-out--_binary64_5755`
5×	`associate-l_binary64_5770` `associate-/r*_binary64_5773` `pow1_binary64_5656` `add-log-exp_binary64_5675`
4×	`flip--_binary64_5736` `flip3--_binary64_5709` `associate-/r/_binary64_5775`
3×	`associate-/l*_binary64_5774`
2×	`cbrt-unprod_binary64_5679` `div-exp_binary64_5663` `unswap-sqr_binary64_5738` `associate-*l/_binary64_5772` `prod-exp_binary64_5661` `cbrt-undiv_binary64_5680` `frac-times_binary64_5702` `div-inv_binary64_5711`
1×	`associate-r/_binary64_5771` `clear-num_binary64_5713` `frac-2neg_binary64_5703` `sum-log_binary64_5625` `-commutative_binary64_5778` `flip3-+_binary64_5708` `pow-prod-down_binary64_5637` `flip-+_binary64_5735` `+-commutative_binary64_5777`

Counts

3 → 94

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
5.0ms	(/.f64 t (-.f64 a z))
13.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
35.0ms	(/.f64 t (-.f64 a z))
72.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5050	1595

prune359.0ms

Filtered

76 candidates to 103 candidates (-35.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
0.0b	(/.f64 1 (-.f64 a z))
0.2b	(*.f64 t (/.f64 1 (-.f64 a z)))
8.7b	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_5695`
42×	`*-un-lft-identity_binary64_5710`
32×	`times-frac_binary64_5705`
26×	`add-exp-log_binary64_5674`
25×	`add-cube-cbrt_binary64_5681`
22×	`associate-r_binary64_5769`
20×	`add-cbrt-cube_binary64_5682`
12×	`pow1_binary64_5656`
10×	`prod-exp_binary64_5661`
8×	`difference-of-squares_binary64_5739` `associate-l_binary64_5770` `distribute-lft-out--_binary64_5755`
7×	`cbrt-unprod_binary64_5679`
6×	`associate-*r/_binary64_5771` `add-log-exp_binary64_5675`
5×	`flip--_binary64_5736` `associate-/r*_binary64_5773` `flip3--_binary64_5709`
4×	`un-div-inv_binary64_5712` `frac-times_binary64_5702` `associate-/r/_binary64_5775` `pow-prod-down_binary64_5637`
3×	`rec-exp_binary64_5662` `div-exp_binary64_5663` `unswap-sqr_binary64_5738` `associate-/l*_binary64_5774` `cbrt-undiv_binary64_5680`
2×	`associate-l/_binary64_5772` `-commutative_binary64_5778` `div-inv_binary64_5711`
1×	`clear-num_binary64_5713` `frac-2neg_binary64_5703` `sum-log_binary64_5625` `pow-flip_binary64_5640` `inv-pow_binary64_5632` `flip3-+_binary64_5708` `flip-+_binary64_5735` `+-commutative_binary64_5777`

Counts

4 → 125

Calls

4 calls:

4.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
6.0ms	(/.f64 1 (-.f64 a z))
10.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
13.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
20.0ms	(/.f64 1 (-.f64 a z))
34.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
73.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5137	1756

prune401.0ms

Filtered

84 candidates to 137 candidates (-63.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	137	7	144

Merged error: 0b

Counts

144 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
0.0b	(/.f64 (-.f64 a z) t)
9.0b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac_binary64_5705`
173×	`*-un-lft-identity_binary64_5710`
171×	`add-sqr-sqrt_binary64_5695`
87×	`add-cube-cbrt_binary64_5681`
42×	`difference-of-squares_binary64_5739` `distribute-lft-out--_binary64_5755`
22×	`associate-/r*_binary64_5773`
10×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682` `associate-/l*_binary64_5774`
8×	`div-inv_binary64_5711`
5×	`add-log-exp_binary64_5675`
4×	`div-exp_binary64_5663` `cbrt-undiv_binary64_5680` `associate-/l/_binary64_5776`
3×	`div-sub_binary64_5704` `pow1_binary64_5656`
2×	`clear-num_binary64_5713` `frac-2neg_binary64_5703` `flip--_binary64_5736` `flip3--_binary64_5709`
1×	`associate-+r-_binary64_5763` `sum-log_binary64_5625` `distribute-lft-out_binary64_5754` `flip3-+_binary64_5708` `associate-/r/_binary64_5775` `flip-+_binary64_5735` `+-commutative_binary64_5777`

Counts

3 → 188

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
6.0ms	(/.f64 (-.f64 a z) t)
12.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

series241.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
24.0ms	(/.f64 (-.f64 a z) t)
114.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

simplify311.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5033	4723

prune523.0ms

Filtered

135 candidates to 197 candidates (-45.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	2	3
Picked	0	1	1
Done	2	1	3
Total	199	5	204

Merged error: 0b

Counts

204 → 5

regimes528.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample712.0ms

Algorithm

intervals

Results

328.0ms	7999×	body	80	valid
26.0ms	711×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze982.0ms

sample31.0ms

simplify261.0ms

prune8.0ms

localize12.0ms

rewrite31.0ms

series201.0ms

simplify64.0ms

prune280.0ms

localize12.0ms

rewrite26.0ms

series214.0ms

simplify70.0ms

prune359.0ms

localize15.0ms

rewrite38.0ms

series229.0ms

simplify90.0ms

prune401.0ms

localize12.0ms

rewrite59.0ms

series241.0ms

simplify311.0ms

prune523.0ms

regimes528.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample712.0ms

Profiling