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

sample31.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5060	17

prune4.0ms

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: 23.1b

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))
0.4b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
22.3b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite29.0ms

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:

7.0ms	(*.f64 z (-.f64 t a))
7.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

series138.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 t a))
8.0ms	(*.f64 z (-.f64 b y))
17.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
105.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5221	1306

prune113.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	12	105

Merged error: 22.5b

Counts

105 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.4b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.7b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
21.8b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite34.0ms

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:

8.0ms	(*.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))))
13.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 z (-.f64 b y))
15.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
19.0ms	(/.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)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune77.0ms

Filtered

76 candidates to 124 candidates (-63.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	124	12	136

Merged error: 22.5b

Counts

136 → 12

localize15.0ms

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))
22.3b	(/.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)))))

rewrite21.0ms

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:

3.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))
9.0ms	(/.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)))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 b y))
27.0ms	(cbrt.f64 (-.f64 b y))
25.0ms	(cbrt.f64 (-.f64 b y))
105.0ms	(/.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)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4909	1220
1	4909	1220

prune73.0ms

Filtered

70 candidates to 88 candidates (-25.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	87	13	100

Merged error: 22.5b

Counts

100 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
22.3b	(/.f64 (+.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 t a) (cbrt.f64 z)))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_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 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 t a) (cbrt.f64 z)))) (+.f64 y (*.f64 z (-.f64 b y))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
113.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 t a) (cbrt.f64 z)))) (+.f64 y (*.f64 z (-.f64 b y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4960	931
1	4960	931

prune31.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	76	13	89

Merged error: 22.5b

Counts

89 → 13

regimes691.0ms

Accuracy

0% (0.6b remaining)

Error of 23.3b against oracle of 22.7b and baseline of 23.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms

sample723.0ms

Algorithm

intervals

Results

408.0ms	8000×	body	80	valid
21.0ms	387×	body	80	invalid

Details

analyze1.5s

sample31.0ms

simplify62.0ms

prune4.0ms

localize12.0ms

rewrite29.0ms

series138.0ms

simplify47.0ms

prune113.0ms

localize13.0ms

rewrite34.0ms

series149.0ms

simplify55.0ms

prune77.0ms

localize15.0ms

rewrite21.0ms

series183.0ms

simplify72.0ms

prune73.0ms

localize18.0ms

rewrite15.0ms

series159.0ms

simplify42.0ms

prune31.0ms

regimes691.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample723.0ms

Profiling