Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify104.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
9.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite18.0ms

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)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- t (* a z))
31.0ms	(- x (* y z))
61.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify122.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (115.0ms)

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

prune280.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.4b	(/ 1 (- t (* a z)))
9.4b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `fma-neg` `prod-diff` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 119

Calls

4 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
4.0ms	(/ 1 (- t (* a z)))
21.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- t (* a z))
32.0ms	(- x (* y z))
61.0ms	(/ 1 (- t (* a z)))
61.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	380	761
1	1594	661
2	5001	633

prune376.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.4b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.7b	(/ (- t (* a z)) (- x (* y z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`fma-neg` `prod-diff` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

4 → 160

Calls

4 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
18.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.0ms	(/ (- t (* a z)) (- x (* y z)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- t (* a z))
31.0ms	(- x (* y z))
386.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
67.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	544	1535
1	2368	1380
2	5003	1291

prune431.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
9.7b	(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt x)
201.0ms	(cbrt x)
200.0ms	(cbrt x)
172.0ms	(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y z))) (- t (* a z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	182	631
1	512	576
2	1957	551
3	5001	532

prune320.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 9.6b

regimes327.0ms

Accuracy

0% (0.4b remaining)

Error of 10.6b against oracle of 10.2b and baseline of 10.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample537.0ms

Algorithm

intervals

Results

281.0ms

8677×

body

valid