Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	244×	body	80	valid
3.0ms	24×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

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: 27.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.5b	(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series300.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (- y x) (- z t))
150.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
112.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune236.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 4.5b

Counts

91 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(* (- y x) (/ (- z t) (- a t)))
1.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
20.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series307.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z t) (- a t))
113.0ms	(* (- y x) (/ (- z t) (- a t)))
149.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5001	820

prune301.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Merged error: 4.5b

Counts

139 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.9b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
43.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))

series400.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a t) (- z t))
147.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
204.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify103.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984

prune619.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	282	13	295

Merged error: 4.5b

Counts

295 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.8b	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
9.2b	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
69×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
51×	`associate-r`
36×	`cbrt-prod`
27×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `cbrt-div` `div-exp` `add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`unswap-sqr`
3×	`associate-/r/`
2×	`frac-times` `pow1/3` `associate-*l/` `div-inv`
1×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+`

Counts

4 → 125

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
30.0ms	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
3.0ms	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- z t))
152.0ms	(cbrt (- z t))
111.0ms	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
153.0ms	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

simplify108.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	726	1560
1	3474	1435
2	5001	1366

prune359.0ms

Filtered

137 candidates to 97 candidates (70.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	10	10
Picked	0	1	1
Done	1	1	2
Total	136	14	150

Merged error: 4.5b

Counts

150 → 14

regimes322.0ms

Accuracy

9.4% (6.8b remaining)

Error of 11.1b against oracle of 4.4b and baseline of 11.8b

bsearch96.0ms

Steps

Iters	Range		Point
10	1.2007608750436506e-82	5.2701254413732756e-65	1.2196025816222972e-82
8	-1.2483459713978158e-245	-4.440181850400249e-249	-1.0246129536236782e-245

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms

sample674.0ms

Algorithm

intervals

Results

253.0ms	7814×	body	80	valid
62.0ms	514×	body	640	valid
43.0ms	273×	body	1280	valid
35.0ms	397×	body	320	valid
16.0ms	264×	body	160	valid
4.0ms	20×	body	2560	valid