Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

530×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (96.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

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)))
7.5b	(* (* y 4.0) (- (* z z) t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`prod-diff`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`sub-neg`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u`
2×	`fma-neg` `diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 78

Calls

3 calls:

3.0ms	(- (* z z) t)
5.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms	(* (* y 4.0) (- (* z z) t))

series187.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* z z) t)
89.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
74.0ms	(* (* y 4.0) (- (* z z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	412	584
1	1842	481
2	5002	472

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
11.6b	(* (* y 4.0) (* z z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff` `distribute-rgt-neg-out`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`diff-log` `unsub-neg` `sum-log` `distribute-lft-out` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `fma-def` `flip3-+` `fma-neg` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 65

Calls

3 calls:

10.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
38.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
11.0ms	(* (* y 4.0) (* z z))

series210.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
88.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
36.0ms	(* (* y 4.0) (* z z))

simplify84.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	380	663
1	1864	484
2	5002	475

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.1b	(* (* (* y 4.0) z) z)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-rgt-neg-out`
3×	`expm1-log1p-u` `associate-r` `prod-diff` `log1p-expm1-u`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `fma-def` `flip3-+` `fma-neg` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

22.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
74.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
24.0ms	(* (* (* y 4.0) z) z)

series210.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
87.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
35.0ms	(* (* (* y 4.0) z) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	371	666
1	1864	512
2	5001	480

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series791.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt z) (cbrt z))
193.0ms	(cbrt z)
191.0ms	(cbrt z)
192.0ms	(cbrt z)

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

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

sample1.5s

Algorithm

intervals

Results

1.1s

15974×

body

valid