Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

319×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

prune2.0ms

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: 9.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
9.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series159.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
47.0ms	(* (* z 2.0) (- 1.0 t))
65.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune153.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-+r+` `associate-r` `prod-exp`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `sum-log` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 62

Calls

2 calls:

17.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
13.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune132.0ms

Filtered

68 candidates to 50 candidates (73.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0b

Counts

73 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
0.0b	(* (* z 2.0) (- 1.0 t))
0.4b	(/ 1 (* t z))
9.3b	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

9.0ms	(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
7.0ms	(* (* z 2.0) (- 1.0 t))
4.0ms	(/ 1 (* t z))
9.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
48.0ms	(* (* z 2.0) (- 1.0 t))
12.0ms	(/ 1 (* t z))
60.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	592	902
1	2780	802
2	5001	792

prune203.0ms

Filtered

119 candidates to 70 candidates (58.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt (/ 1 (* t z))) (cbrt (/ 1 (* t z)))))
9.2b	(cbrt (/ 1 (* t z)))
9.2b	(cbrt (/ 1 (* t z)))
9.2b	(cbrt (/ 1 (* t z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
15×	`cbrt-div`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `frac-times` `times-frac`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-*l/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

11.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt (/ 1 (* t z))) (cbrt (/ 1 (* t z)))))
3.0ms	(cbrt (/ 1 (* t z)))
3.0ms	(cbrt (/ 1 (* t z)))
3.0ms	(cbrt (/ 1 (* t z)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt (/ 1 (* t z))) (cbrt (/ 1 (* t z)))))
105.0ms	(cbrt (/ 1 (* t z)))
65.0ms	(cbrt (/ 1 (* t z)))
79.0ms	(cbrt (/ 1 (* t z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	410	921
1	1328	818
2	5001	751

prune290.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0b

Counts

95 → 5

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample756.0ms

Algorithm

intervals

Results

478.0ms

10504×

body

valid

Details

sample28.0ms

simplify55.0ms

prune2.0ms

localize10.0ms

rewrite26.0ms

series159.0ms

simplify51.0ms

prune153.0ms

localize10.0ms

rewrite34.0ms

series95.0ms

simplify52.0ms

prune132.0ms

localize12.0ms

rewrite33.0ms

series190.0ms

simplify73.0ms

prune203.0ms

localize16.0ms

rewrite24.0ms

series405.0ms

simplify72.0ms

prune290.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample756.0ms

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