Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize10.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
21.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(- (* (* z 2.0) z) (* y t))
19.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series215.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* (* z 2.0) z) (* y t))
179.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	265	383
1	1370	314
2	5002	313

prune112.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
1.1b	(- (* 2.0 (pow z 2)) (* t y))
5.8b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`add-exp-log` `associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
9×	`pow1` `prod-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`unpow-prod-down` `associate-l` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `associate-*r/` `pow-exp` `clear-num`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* 2.0 (pow z 2))
3.0ms	(- (* 2.0 (pow z 2)) (* t y))
16.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 2.0 (pow z 2))
37.0ms	(- (* 2.0 (pow z 2)) (* t y))
176.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
50.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	413	827
1	2147	710
2	5002	709

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite28.0ms

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:

8.0ms	(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)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
53.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
49.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
53.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify135.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (27.0ms)

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

prune412.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 3 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
6.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

6.0ms	(- (* (* z 2.0) z) (* y t))
13.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series272.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
180.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	419	924
1	2101	814
2	5001	809

prune240.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.3b

regimes106.0ms

Accuracy

0% (0.7b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample534.0ms

Algorithm

intervals

Results

320.0ms

8000×

body

valid