Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	254×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 24.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.7b	(/ (* (- y x) (- z t)) (- a t))

rewrite32.0ms

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:

10.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series96.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
50.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
36.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify59.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (14.0ms)

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

prune160.0ms

Filtered

90 candidates to 67 candidates (25.6%)

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: 5.1b

Counts

91 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.9b	(/ (- y x) (/ (- a t) (- z t)))
2.9b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite88.0ms

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

series102.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
45.0ms	(/ (- y x) (/ (- a t) (- z t)))
48.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify105.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune247.0ms

Filtered

283 candidates to 172 candidates (39.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	275	8	283
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	281	13	294

Merged error: 4.6b

Counts

294 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(* (- y x) (/ (- z t) (- a t)))
2.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

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:

7.0ms	(/ (- z t) (- a t))
16.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series93.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
32.0ms	(* (- y x) (/ (- z t) (- a t)))
52.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5002	820

prune145.0ms

Filtered

128 candidates to 86 candidates (32.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	128	13	141

Merged error: 4.6b

Counts

141 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
1.1b	(/ (cbrt (- y x)) (/ (- a t) (- z t)))
1.1b	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t))))
9.0b	(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

927×	`times-frac`
798×	`add-sqr-sqrt`
787×	`*-un-lft-identity`
322×	`cbrt-prod`
319×	`add-cube-cbrt`
253×	`associate-r`
234×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r/`
31×	`flip3--` `associate-/r*` `flip--`
30×	`add-exp-log`
28×	`cbrt-div`
19×	`div-inv`
18×	`add-cbrt-cube`
16×	`frac-times`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`associate-/l*`
6×	`add-log-exp`
5×	`associate-*r/` `unswap-sqr`
3×	`pow-prod-down`
2×	`associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow1/3` `associate-l` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

4 → 628

Calls

4 calls:

3.0ms	(cbrt (- y x))
18.0ms	(/ (cbrt (- y x)) (/ (- a t) (- z t)))
67.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t))))
3.0ms	(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y x))
104.0ms	(/ (cbrt (- y x)) (/ (- a t) (- z t)))
43.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t))))
56.0ms	(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

simplify121.0ms

Algorithm

egg-herbie

Counts

640 → 640

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2055	9211
1	5001	9059

prune453.0ms

Filtered

640 candidates to 398 candidates (37.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	637	3	640
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	638	15	653

Merged error: 4.6b

Counts

653 → 15

regimes772.0ms

Accuracy

46.1% (4.1b remaining)

Error of 8.3b against oracle of 4.2b and baseline of 11.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample978.0ms

Algorithm

intervals

Results

303.0ms	7772×	body	80	valid
70.0ms	489×	body	640	valid
52.0ms	259×	body	1280	valid
44.0ms	407×	body	320	valid
21.0ms	282×	body	160	valid
2.0ms	9×	body	2560	valid

Details

sample41.0ms

simplify65.0ms

prune4.0ms

localize10.0ms

rewrite32.0ms

series96.0ms

simplify59.0ms

prune160.0ms

localize9.0ms

rewrite88.0ms

series102.0ms

simplify105.0ms

prune247.0ms

localize9.0ms

rewrite32.0ms

series93.0ms

simplify53.0ms

prune145.0ms

localize13.0ms

rewrite144.0ms

series229.0ms

simplify121.0ms

prune453.0ms

regimes772.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample978.0ms

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