Details

sample24.0ms

Algorithm

intervals

Results

12.0ms	297×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

5.0ms	(+ (* x (+ y z)) (* z 5.0))
9.0ms	(* x (+ y z))

series56.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x (+ y z)) (* z 5.0))
26.0ms	(* x (+ y z))

simplify126.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	227	194
1	1011	179
2	4716	179
3	5001	179

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (+ y z)) (* z 5.0))
0.0b	(- (* x (+ y z)) (* z 5.0))
0.3b	(* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0)))
30.0b	(/ (* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cube-cbrt` `*-un-lft-identity` `associate--l+` `add-log-exp`
6×	`pow1`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `fma-neg` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

5.0ms	(- (* x (+ y z)) (* z 5.0))
5.0ms	(- (* x (+ y z)) (* z 5.0))
20.0ms	(* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0)))
19.0ms	(/ (* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x (+ y z)) (* z 5.0))
33.0ms	(- (* x (+ y z)) (* z 5.0))
62.0ms	(* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0)))
29.0ms	(/ (* (fma x (+ y z) (* z 5.0)) (- (* x (+ y z)) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	353	1003
1	2167	814
2	5001	797

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (- (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (- (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (- (* x (+ y z)) (* z 5.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

40.0ms	(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
5.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
8.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))

series767.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
175.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
175.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
183.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	331	1339
1	1167	1258
2	5001	1153

prune381.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
0.6b	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
0.6b	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

5.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
18.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
18.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
18.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))

series902.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- (* x (+ y z)) (* z 5.0)))
236.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
240.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
238.0ms	(cbrt (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))

simplify105.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	306	1618
1	862	1526
2	3496	1480
3	5001	1450

prune388.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample677.0ms

Algorithm

intervals

Results

416.0ms	9851×	body	80	valid
19.0ms	129×	body	640	valid
18.0ms	101×	body	1280	valid
8.0ms	71×	body	320	valid
2.0ms	28×	body	160	valid