Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

487×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b	(* (* y 4.0) (- (* z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* z z) t)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series162.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
77.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
66.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune140.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
8.1b	(* (* y 4.0) (* z z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
3×	`add-sqr-sqrt`
2×	`add-cube-cbrt` `*-un-lft-identity` `diff-log` `distribute-rgt-neg-out` `associate--r-`
1×	`sub-neg` `flip3--` `associate-r` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

30.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
10.0ms	(* (* y 4.0) (* z z))

series106.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
30.0ms	(* (* y 4.0) (* z z))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	253	365
1	1088	292
2	5002	288

prune97.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.2b	(* (* (* y 4.0) z) z)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
2×	`diff-log` `distribute-rgt-neg-out` `associate--r-`
1×	`sub-neg` `flip3--` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 38

Calls

2 calls:

59.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
21.0ms	(* (* (* y 4.0) z) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
29.0ms	(* (* (* y 4.0) z) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	362
1	1254	302
2	5001	295

prune99.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

12.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
19.0ms	(cbrt (* (* (* y 4.0) z) z))
22.0ms	(cbrt (* (* (* y 4.0) z) z))
19.0ms	(cbrt (* (* (* y 4.0) z) z))

series507.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
122.0ms	(cbrt (* (* (* y 4.0) z) z))
114.0ms	(cbrt (* (* (* y 4.0) z) z))
124.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify100.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	220	537
1	708	472
2	3288	393
3	5001	387

prune236.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample872.0ms

Algorithm

intervals

Results

487.0ms

15841×

body

valid