Details

sample34.0ms

Algorithm

intervals

Results

22.0ms

278×

body

valid

simplify48.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite39.0ms

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:

10.0ms	(/ (- z t) (- a t))
23.0ms	(* y (/ (- z t) (- a t)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- a t))
77.0ms	(* 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

prune246.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.4b	(* y (* (- z t) (/ 1 (- a t))))

rewrite61.0ms

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:

6.0ms	(/ 1 (- a t))
23.0ms	(* (- z t) (/ 1 (- a t)))
27.0ms	(* y (* (- z t) (/ 1 (- a t))))

series159.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- a t))
61.0ms	(* (- z t) (/ 1 (- a t)))
65.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (40.0ms)

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

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(* y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))))
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))
3.8b	(cbrt (* (- z t) (/ 1 (- a t))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

900×	`cbrt-div`
840×	`frac-times`
540×	`associate-*r/`
390×	`associate-*l/`
300×	`flip3--` `flip--`
150×	`un-div-inv`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 408

Calls

4 calls:

145.0ms	(* y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))))
7.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
7.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
7.0ms	(cbrt (* (- z t) (/ 1 (- a t))))

series976.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))))
304.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
294.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
312.0ms	(cbrt (* (- z t) (/ 1 (- a t))))

simplify120.0ms

Algorithm

egg-herbie

Counts

420 → 420

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	2102	6829
1	3465	6670
2	5002	6575

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.2b	(/ (* y (- z t)) (- a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `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` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

10.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) (- a t))

series104.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* y (- z t))
62.0ms	(/ (* y (- z t)) (- a t))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	264	276
1	1211	239
2	5001	239

prune125.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample896.0ms

Algorithm

intervals

Results

626.0ms	8719×	body	80	valid
0.0ms	1×	body	640	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