Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

280×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

21.0ms	(/ (- z t) (- a t))
43.0ms	(* y (/ (- z t) (- a t)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- z t) (- a t))
61.0ms	(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.8b	(* y (* (- z t) (/ 1 (- a t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

11.0ms	(/ 1 (- a t))
44.0ms	(* (- z t) (/ 1 (- a t)))
52.0ms	(* y (* (- z t) (/ 1 (- a t))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- a t))
43.0ms	(* (- z t) (/ 1 (- a t)))
61.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify50.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	381	673
1	1768	564
2	5001	522

prune240.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.8b	(* y (/ (- z t) (- a t)))
5.8b	(cbrt (* y (/ (- z t) (- a t))))
5.8b	(cbrt (* y (/ (- z t) (- a t))))
5.8b	(cbrt (* y (/ (- z t) (- a t))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

42.0ms	(* y (/ (- z t) (- a t)))
11.0ms	(cbrt (* y (/ (- z t) (- a t))))
12.0ms	(cbrt (* y (/ (- z t) (- a t))))
14.0ms	(cbrt (* y (/ (- z t) (- a t))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* y (/ (- z t) (- a t)))
200.0ms	(cbrt (* y (/ (- z t) (- a t))))
198.0ms	(cbrt (* y (/ (- z t) (- a t))))
199.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify38.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	335	608
1	1360	548
2	5002	542

prune282.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (cbrt y) (/ (- z t) (- a t)))
1.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
46.0ms	(* (cbrt y) (/ (- z t) (- a t)))
64.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
174.0ms	(cbrt y)
162.0ms	(* (cbrt y) (/ (- z t) (- a t)))
82.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	382	805
1	1795	651
2	5002	619

prune284.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample590.0ms

Algorithm

intervals

Results

236.0ms	8736×	body	80	valid
0.0ms	4×	body	1280	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5