Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

271×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 27.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
26.3b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
9.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (* z (- b y)))
34.0ms	(* z (- t a))
43.0ms	(+ (* x y) (* z (- t a)))
306.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	359	708
1	1499	648
2	5001	648

prune272.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	13	100

Merged error: 26.4b

Counts

100 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
0.9b	(/ 1 (+ y (* z (- b y))))
25.6b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- t a))
7.0ms	(+ (* x y) (* z (- t a)))
4.0ms	(/ 1 (+ y (* z (- b y))))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
43.0ms	(+ (* x y) (* z (- t a)))
82.0ms	(/ 1 (+ y (* z (- b y))))
309.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	448	957
1	2212	849
2	5002	823

prune257.0ms

Filtered

128 candidates to 76 candidates (59.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Merged error: 26.4b

Counts

141 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

11.1b	(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/r*`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

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

series855.0ms

Counts

4 → 12

Calls

4 calls:

408.0ms	(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
150.0ms	(cbrt (+ (* x y) (* z (- t a))))
146.0ms	(cbrt (+ (* x y) (* z (- t a))))
151.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify112.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	399	1234
1	1175	1165
2	4151	1128
3	5001	1114

prune352.0ms

Filtered

94 candidates to 79 candidates (84.0%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	94	13	107

Merged error: 26.4b

Counts

107 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

15.8b	(cbrt (+ y (* z (- b y))))
15.8b	(cbrt (+ y (* z (- b y))))
15.8b	(cbrt (+ y (* z (- b y))))
18.0b	(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3-+` `flip-+`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (+ y (* z (- b y))))
2.0ms	(cbrt (+ y (* z (- b y))))
2.0ms	(cbrt (+ y (* z (- b y))))
12.0ms	(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (+ y (* z (- b y))))
254.0ms	(cbrt (+ y (* z (- b y))))
247.0ms	(cbrt (+ y (* z (- b y))))
1.2s	(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	430	1194
1	1284	1085
2	5002	1042

prune293.0ms

Filtered

82 candidates to 72 candidates (87.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	8	9
Picked	0	1	1
Done	0	3	3
Total	81	14	95

Merged error: 26.4b

Counts

95 → 14

regimes472.0ms

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample658.0ms

Algorithm

intervals

Results

361.0ms

8422×

body

valid