Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

307×

body

valid

simplify175.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* (- y x) z))
10.0ms	(* (- y x) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* (- y x) z))
32.0ms	(* (- y x) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune71.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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 → 101

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
19.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (- y x))
160.0ms	(cbrt (- y x))
158.0ms	(cbrt (- y x))
129.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

simplify150.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	261	760
1	921	723
2	4499	670
3	5001	660

prune291.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
4.5b	(cbrt (* (- y x) z))
4.5b	(cbrt (* (- y x) z))
4.5b	(cbrt (* (- y x) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
3.0ms	(cbrt (* (- y x) z))
3.0ms	(cbrt (* (- y x) z))
4.0ms	(cbrt (* (- y x) z))

series626.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
160.0ms	(cbrt (* (- y x) z))
146.0ms	(cbrt (* (- y x) z))
140.0ms	(cbrt (* (- y x) z))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	337	695
1	1101	642
2	5001	597

prune249.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.9b	(- (* y y) (* x x))
8.8b	(* (- (* y y) (* x x)) z)
19.0b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

10.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.0ms	(- (* y y) (* x x))
9.0ms	(* (- (* y y) (* x x)) z)
9.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series187.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
32.0ms	(- (* y y) (* x x))
43.0ms	(* (- (* y y) (* x x)) z)
57.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	353	602
1	1718	523
2	5002	514

prune172.0ms

Filtered

85 candidates to 58 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample399.0ms

Algorithm

intervals

Results

204.0ms

10164×

body

valid