Details

analyze1.3s

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
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample29.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5060	17

prune5.0ms

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: 26.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(*.f64 z (-.f64 b y))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
25.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

10.0ms	(*.f64 z (-.f64 t a))
6.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 t a))
8.0ms	(*.f64 z (-.f64 b y))
15.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
112.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5221	1306

prune151.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Merged error: 25.8b

Counts

105 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.8b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
24.9b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64` `times-frac_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `div-inv_binary64` `associate-+r+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 112

Calls

4 calls:

7.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
12.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 b y))
17.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
107.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune120.0ms

Filtered

78 candidates to 124 candidates (-59.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 25.8b

Counts

135 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.3b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
25.5b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
62×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cbrt-undiv_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 152

Calls

4 calls:

6.0ms	(*.f64 z (-.f64 b y))
9.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
8.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

series336.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 b y))
228.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
83.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

simplify56.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5290	3636

prune152.0ms

Filtered

112 candidates to 164 candidates (-46.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	164	11	175

Merged error: 25.8b

Counts

175 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 b y))
0.5b	(cbrt.f64 (-.f64 b y))
0.5b	(cbrt.f64 (-.f64 b y))
25.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`times-frac_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 b y))
4.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))
8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 b y))
30.0ms	(cbrt.f64 (-.f64 b y))
28.0ms	(cbrt.f64 (-.f64 b y))
152.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4909	1220
1	4909	1220

prune73.0ms

Filtered

69 candidates to 88 candidates (-27.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Merged error: 25.8b

Counts

99 → 11

regimes909.0ms

Accuracy

0% (0.7b remaining)

Error of 22.4b against oracle of 21.8b and baseline of 22.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms

sample721.0ms

Algorithm

intervals

Results

401.0ms	8000×	body	80	valid
21.0ms	396×	body	80	invalid

Details

analyze1.3s

sample29.0ms

simplify64.0ms

prune5.0ms

localize12.0ms

rewrite32.0ms

series144.0ms

simplify44.0ms

prune151.0ms

localize16.0ms

rewrite31.0ms

series153.0ms

simplify53.0ms

prune120.0ms

localize13.0ms

rewrite36.0ms

series336.0ms

simplify56.0ms

prune152.0ms

localize18.0ms

rewrite25.0ms

series238.0ms

simplify75.0ms

prune73.0ms

regimes909.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample721.0ms

Profiling