Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	275×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 60.0 (- x y))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

7.0ms	(* 60.0 (- x y))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series101.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* 60.0 (- x y))
69.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	358	543
1	1626	380
2	5001	380

prune175.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

9.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- x y) (- z t))
69.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	361	664
1	1422	623
2	5002	623

prune299.0ms

Filtered

112 candidates to 73 candidates (65.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(* 60.0 (- x y))
0.5b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
36×	`add-cube-cbrt`
31×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
19×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
11×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 141

Calls

3 calls:

6.0ms	(/ 1 (- z t))
8.0ms	(* 60.0 (- x y))
19.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- z t))
38.0ms	(* 60.0 (- x y))
61.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	518	910
1	2672	687
2	5001	644

prune296.0ms

Filtered

150 candidates to 74 candidates (49.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt 60.0) (- x y))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
0.5b	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log`
80×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
62×	`prod-exp`
60×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
43×	`pow1`
40×	`add-cbrt-cube`
36×	`cbrt-unprod`
33×	`associate-r`
24×	`pow-prod-down`
20×	`cbrt-prod`
15×	`times-frac` `associate-*r/`
14×	`associate-l`
10×	`div-exp`
6×	`sub-neg` `pow1/3` `swap-sqr` `unswap-sqr`
5×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`frac-times` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `un-div-inv` `div-inv`

Counts

4 → 235

Calls

4 calls:

9.0ms	(* (cbrt 60.0) (- x y))
15.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
22.0ms	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
6.0ms	(* (cbrt 60.0) (cbrt 60.0))

series312.0ms

Counts

4 → 10

Calls

4 calls:

76.0ms	(* (cbrt 60.0) (- x y))
86.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
150.0ms	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify147.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	974	2796
1	4772	1718
2	5001	1692

prune522.0ms

Filtered

245 candidates to 113 candidates (46.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	245	4	249

Merged error: 0.0b

Counts

249 → 4

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample617.0ms

Algorithm

intervals

Results

311.0ms	8521×	body	80	valid
13.0ms	50×	body	1280	valid
5.0ms	23×	body	2560	valid
4.0ms	35×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	2×	body	5120	valid