Details

sample21.0ms

Algorithm

intervals

Results

6.0ms

318×

body

valid

simplify74.0ms

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	750	3
11	1136	3
12	1818	3
13	5002	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(* (- y x) z)
7.0ms	(+ x (* (- 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

prune76.0ms

Filtered

39 candidates to 27 candidates (30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (cbrt (pow (* (- y x) z) 3)))
0.3b	(pow (* (- y x) z) 3)
32.5b	(cbrt (pow (* (- y x) z) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (- y x) z)
4.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
6.0ms	(pow (* (- y x) z) 3)
3.0ms	(cbrt (pow (* (- y x) z) 3))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- y x) z)
12.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
15.0ms	(pow (* (- y x) z) 3)
10.0ms	(cbrt (pow (* (- y x) z) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	323	424
1	1508	381
2	5003	380

prune334.0ms

Filtered

89 candidates to 64 candidates (28.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(pow (* (- y x) z) 2)
4.0b	(- (pow x 2) (pow (* (- y x) z) 2))
27.1b	(/ (- (pow x 2) (pow (* (- y x) z) 2)) (- x (* (- y x) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
61×	`difference-of-squares`
48×	`times-frac`
40×	`*-un-lft-identity`
36×	`unpow2` `sqr-pow`
28×	`add-cube-cbrt`
16×	`unpow-prod-down` `associate-/l*`
11×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`distribute-lft-out--` `add-log-exp`
5×	`associate-l`
4×	`flip3--` `flip--`
3×	`pow-unpow` `associate-r` `associate-/r*`
2×	`pow-pow` `pow-prod-down` `associate-*l/` `pow-exp` `prod-exp` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

6.0ms	(* (- y x) z)
6.0ms	(pow (* (- y x) z) 2)
6.0ms	(- (pow x 2) (pow (* (- y x) z) 2))
13.0ms	(/ (- (pow x 2) (pow (* (- y x) z) 2)) (- x (* (- y x) z)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- y x) z)
9.0ms	(pow (* (- y x) z) 2)
24.0ms	(- (pow x 2) (pow (* (- y x) z) 2))
51.0ms	(/ (- (pow x 2) (pow (* (- y x) z) 2)) (- x (* (- y x) z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	619	1700
1	2279	1509
2	5002	1497

prune604.0ms

Filtered

161 candidates to 98 candidates (39.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	161	3	164

Merged error: 0b

Counts

164 → 3

regimes183.0ms

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

sample559.0ms

Algorithm

intervals

Results

219.0ms

10042×

body

valid

Details

sample21.0ms

simplify74.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series18.0ms

simplify63.0ms

prune76.0ms

localize8.0ms

rewrite21.0ms

series43.0ms

simplify46.0ms

prune334.0ms

localize10.0ms

rewrite36.0ms

series90.0ms

simplify68.0ms

prune604.0ms

regimes183.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample559.0ms

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