Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

310×

body

valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3375	4
11	3762	4
12	4376	4
13	5002	4

prune4.0ms

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: 3.8b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* (- 1.0 y) z)
6.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 y) z)
11.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune121.0ms

Filtered

52 candidates to 33 candidates (36.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0.0b

Counts

53 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.5b	(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms	(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune101.0ms

Filtered

47 candidates to 30 candidates (36.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* x z) (- y 1.0))
6.4b	(cbrt (* (* x z) (- y 1.0)))
6.4b	(cbrt (* (* x z) (- y 1.0)))
6.4b	(cbrt (* (* x z) (- y 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

7.0ms	(* (* x z) (- y 1.0))
6.0ms	(cbrt (* (* x z) (- y 1.0)))
6.0ms	(cbrt (* (* x z) (- y 1.0)))
5.0ms	(cbrt (* (* x z) (- y 1.0)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (* x z) (- y 1.0))
29.0ms	(cbrt (* (* x z) (- y 1.0)))
32.0ms	(cbrt (* (* x z) (- y 1.0)))
30.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	351	771
1	1391	719
2	5002	686

prune379.0ms

Filtered

71 candidates to 55 candidates (22.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
1.9b	(sqrt (- 1.0 (* (- 1.0 y) z)))
1.9b	(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
10.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
3.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
3.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
11.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
14.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
14.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	364	871
1	1514	773
2	5001	767

prune281.0ms

Filtered

95 candidates to 68 candidates (28.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

regimes539.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample602.0ms

Algorithm

intervals

Results

256.0ms

10113×

body

valid

Details

sample24.0ms

simplify217.0ms

prune4.0ms

localize11.0ms

rewrite13.0ms

series15.0ms

simplify119.0ms

prune121.0ms

localize7.0ms

rewrite12.0ms

series19.0ms

simplify44.0ms

prune101.0ms

localize11.0ms

rewrite26.0ms

series100.0ms

simplify45.0ms

prune379.0ms

localize11.0ms

rewrite23.0ms

series65.0ms

simplify52.0ms

prune281.0ms

regimes539.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample602.0ms

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