Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	252×	body	80	valid
4.0ms	16×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	10×	body	160	valid

simplify86.0ms

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: 23.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.2b	(/ (* (- y x) (- z t)) (- a t))

rewrite34.0ms

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:

12.0ms	(* (- 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:

35.0ms	(* (- y x) (- z t))
155.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
111.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune223.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 4.4b

Counts

91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.9b	(* (- 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))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
17.0ms	(* (- y x) (/ (- z t) (- a t)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z t) (- a t))
151.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
109.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

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

prune284.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	126	14	140

Merged error: 4.3b

Counts

140 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))
3.0b	(/ (- 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))))
16.0ms	(/ (- y x) (/ (- a t) (- z t)))

series397.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a t) (- z t))
152.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
196.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify103.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

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

prune541.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	283	14	297

Merged error: 4.1b

Counts

297 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.7b	(/ (- y x) (/ (- a t) (cbrt (- z t))))
1.7b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t)))))
7.6b	(+ x (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t))))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

905×	`times-frac`
791×	`add-sqr-sqrt`
782×	`*-un-lft-identity`
308×	`add-cube-cbrt`
281×	`cbrt-prod`
237×	`distribute-lft-out--` `difference-of-squares`
235×	`associate-r`
48×	`cbrt-div`
46×	`associate-/r*`
30×	`add-exp-log`
25×	`flip3--` `flip--`
24×	`associate-/r/`
21×	`add-cbrt-cube`
16×	`frac-times`
13×	`div-inv`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-r/` `associate-/l`
4×	`unswap-sqr`
3×	`pow-prod-down`
2×	`associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `associate-l` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

4 → 604

Calls

4 calls:

3.0ms	(cbrt (- z t))
20.0ms	(/ (- y x) (/ (- a t) (cbrt (- z t))))
69.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t)))))
3.0ms	(+ x (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t))))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- z t))
248.0ms	(/ (- y x) (/ (- a t) (cbrt (- z t))))
124.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t)))))
156.0ms	(+ x (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (- y x) (/ (- a t) (cbrt (- z t))))))

simplify124.0ms

Algorithm

egg-herbie

Counts

616 → 616

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2264	8776
1	5001	8629

prune1.5s

Filtered

616 candidates to 375 candidates (60.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	615	1	616
Fresh	0	11	11
Picked	1	0	1
Done	0	2	2
Total	616	14	630

Merged error: 4.1b

Counts

630 → 14

regimes339.0ms

Accuracy

33.5% (5.0b remaining)

Error of 9.1b against oracle of 4.1b and baseline of 11.6b

bsearch2.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	50
1	44	50

end0.0ms

sample703.0ms

Algorithm

intervals

Results

267.0ms	7791×	body	80	valid
58.0ms	481×	body	640	valid
43.0ms	282×	body	1280	valid
36.0ms	384×	body	320	valid
19.0ms	271×	body	160	valid
4.0ms	23×	body	2560	valid