Details

sample37.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.4b	(- (* (* z 2.0) z) (* y t))
16.7b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

22.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
6.0ms	(- (* (* z 2.0) z) (* y t))
17.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series518.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
46.0ms	(- (* (* z 2.0) z) (* y t))
199.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.4b	(- (* 2.0 (pow z 2)) (* t y))
5.2b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
3.0ms	(- (* 2.0 (pow z 2)) (* t y))
18.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
44.0ms	(- (* 2.0 (pow z 2)) (* t y))
197.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
54.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5003	773

prune267.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 4 expressions with local error:

14.7b	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
15.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
15.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
15.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`

Counts

4 → 97

Calls

4 calls:

9.0ms	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
51.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
54.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
54.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	350	1025
1	1143	942
2	4852	937
3	5001	937

prune442.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.4b	(- (* (* z 2.0) z) (* y t))
5.5b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.1b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

21.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
9.0ms	(- (* (* z 2.0) z) (* y t))
14.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series383.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
200.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988

prune283.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.9b

regimes125.0ms

Accuracy

0% (0.8b remaining)

Error of 2.7b against oracle of 1.9b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

781.0ms

8000×

body

valid