Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

325×

body

valid

simplify50.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 10.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

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:

7.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune99.0ms

Filtered

71 candidates to 48 candidates (32.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

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))

rewrite32.0ms

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:

18.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
5.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

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

prune107.0ms

Filtered

68 candidates to 50 candidates (26.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
18.2b	(/ (* (+ (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-exp-log`
29×	`associate-l`
28×	`*-un-lft-identity` `add-cbrt-cube`
23×	`times-frac`
22×	`add-cube-cbrt`
13×	`prod-exp`
11×	`flip3-+` `associate-r` `flip-+`
10×	`pow1`
9×	`cbrt-unprod`
8×	`frac-times` `associate-*r/` `div-exp` `associate-/l/`
7×	`unswap-sqr`
6×	`cbrt-undiv` `associate-*l/`
4×	`add-log-exp`
3×	`pow-prod-down` `*-commutative` `div-inv`
2×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-/r/` `distribute-lft-out`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r` `flip--` `associate-/l`

Counts

4 → 135

Calls

4 calls:

13.0ms	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
43.0ms	(/ (* (+ (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
5.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
5.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
26.0ms	(/ (* (+ (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	770	1592
1	4326	1270
2	5002	1250

prune330.0ms

Filtered

147 candidates to 105 candidates (28.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	147	6	153

Merged error: 0.0b

Counts

153 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.1b	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
18.2b	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
21×	`*-un-lft-identity`
19×	`associate-l`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`associate-r`
10×	`pow1` `flip3-+` `prod-exp` `flip-+`
8×	`associate-*r/` `cbrt-unprod` `associate-/l/`
6×	`frac-times` `div-exp`
5×	`cbrt-undiv` `associate-*l/` `unswap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `div-inv` `distribute-lft-out`
1×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `associate-/r` `flip--` `associate-/l`

Counts

4 → 116

Calls

4 calls:

18.0ms	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
14.0ms	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
13.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
42.0ms	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
11.0ms	(* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y)
6.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))
25.0ms	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	799	1473
1	4616	1185
2	5002	1177

prune230.0ms

Filtered

128 candidates to 91 candidates (28.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

regimes541.0ms

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

sample1.0s

Algorithm

intervals

Results

524.0ms

10465×

body

valid

Details

sample34.0ms

simplify50.0ms

prune4.0ms

localize11.0ms

rewrite28.0ms

series29.0ms

simplify48.0ms

prune99.0ms

localize10.0ms

rewrite32.0ms

series19.0ms

simplify47.0ms

prune107.0ms

localize17.0ms

rewrite85.0ms

series47.0ms

simplify97.0ms

prune330.0ms

localize18.0ms

rewrite90.0ms

series53.0ms

simplify106.0ms

prune230.0ms

regimes541.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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