Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

286×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	60	5
3	88	5
4	122	5
5	175	5
6	625	5
7	4686	5
8	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
10.9b	(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
6×	`fma-neg` `prod-diff`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 74

Calls

3 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
8.0ms	(/ (- x (* y z)) (- t (* a z)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- t (* a z))
28.0ms	(- x (* y z))
56.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	296	491
1	972	444
2	4276	439
3	5001	435

prune233.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.9b

localize9.0ms

Local error

Found 1 expressions with local error:

10.9b

(/ (fma z y (- x)) (fma z a (- t)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/ (fma z y (- x)) (fma z a (- t)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ (fma z y (- x)) (fma z a (- t)))

simplify100.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	94	267
1	259	245
2	954	245
3	3727	243
4	5003	243

prune107.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (/ (- x (* y z)) (- t (* a z))))
10.9b	(/ (- x (* y z)) (- t (* a z)))
10.9b	(/ (- x (* y z)) (- t (* a z)))
10.9b	(/ (- x (* y z)) (- t (* a z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 128

Calls

4 calls:

3.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
8.0ms	(/ (- x (* y z)) (- t (* a z)))
8.0ms	(/ (- x (* y z)) (- t (* a z)))
8.0ms	(/ (- x (* y z)) (- t (* a z)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
56.0ms	(/ (- x (* y z)) (- t (* a z)))
51.0ms	(/ (- x (* y z)) (- t (* a z)))
55.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	390	1280
1	1268	1198
2	5001	1195

prune516.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.9b

localize19.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (- x (* y z)))
7.2b	(cbrt (- x (* y z)))
10.9b	(/ (- x (* y z)) (- t (* a z)))
10.9b	(/ (- x (* y z)) (- t (* a z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-prod` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`pow1` `expm1-log1p-u` `cbrt-div` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `pow1/3` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt (- x (* y z)))
1.0ms	(cbrt (- x (* y z)))
8.0ms	(/ (- x (* y z)) (- t (* a z)))
8.0ms	(/ (- x (* y z)) (- t (* a z)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (- x (* y z)))
111.0ms	(cbrt (- x (* y z)))
55.0ms	(/ (- x (* y z)) (- t (* a z)))
55.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	340	872
1	1134	814
2	5001	808

prune472.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.9b

regimes243.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample783.0ms

Algorithm

intervals

Results

529.0ms

8660×

body

valid