Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

343×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
4.7b	(/ (* y (- z t)) a)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(* y (- z t))
4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series130.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (- z t))
50.0ms	(- x (/ (* y (- z t)) a))
46.0ms	(/ (* y (- z t)) a)

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ 1 (/ a (* y (- z t)))))
0.4b	(/ 1 (/ a (* y (- z t))))
4.7b	(/ a (* y (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-exp-log` `*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
4×	`difference-of-squares`
3×	`sub-neg` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

10.0ms	(* y (- z t))
14.0ms	(- x (/ 1 (/ a (* y (- z t)))))
13.0ms	(/ 1 (/ a (* y (- z t))))
5.0ms	(/ a (* y (- z t)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- z t))
48.0ms	(- x (/ 1 (/ a (* y (- z t)))))
54.0ms	(/ 1 (/ a (* y (- z t))))
37.0ms	(/ a (* y (- z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	458	870
1	2084	724
2	5001	708

prune243.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (/ a y) (- z t))))
0.4b	(/ 1 (/ (/ a y) (- z t)))
7.0b	(/ (/ a y) (- z t))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

784×	`times-frac`
482×	`add-sqr-sqrt`
465×	`*-un-lft-identity`
327×	`add-cube-cbrt`
76×	`associate-/r*`
73×	`difference-of-squares`
68×	`distribute-lft-out--`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 433

Calls

3 calls:

81.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
21.0ms	(/ 1 (/ (/ a y) (- z t)))
9.0ms	(/ (/ a y) (- z t))

series138.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
49.0ms	(/ 1 (/ (/ a y) (- z t)))
42.0ms	(/ (/ a y) (- z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

442 → 442

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1443	4635
1	5002	3791

prune702.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
4.7b	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
25.0ms	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

series625.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
182.0ms	(cbrt y)
178.0ms	(cbrt y)
83.0ms	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	300	452
1	1496	343
2	5003	302

prune200.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes292.0ms

Accuracy

92% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample864.0ms

Algorithm

intervals

Results

547.0ms

10766×

body

valid