Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

333×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

4.0ms	(+ (* x y) (* (- 1.0 x) z))
6.0ms	(* (- 1.0 x) z)

series65.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x y) (* (- 1.0 x) z))
29.0ms	(* (- 1.0 x) z)

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune66.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 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:

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

series410.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
95.0ms	(cbrt (* (- 1.0 x) z))
94.0ms	(cbrt (* (- 1.0 x) z))
96.0ms	(cbrt (* (- 1.0 x) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	366	875
1	1163	822
2	5001	760

prune249.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
4.7b	(* (- (* 1.0 1.0) (* x x)) z)
7.4b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

7.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
6.0ms	(* (- (* 1.0 1.0) (* x x)) z)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series141.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
41.0ms	(* (- (* 1.0 1.0) (* x x)) z)
52.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	368	530
1	1781	465
2	5002	456

prune114.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.2b	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
3.1b	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
41.0b	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* (* x y) (* x y))
15.0ms	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
7.0ms	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
24.0ms	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
106.0ms	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
152.0ms	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
270.0ms	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify105.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	483	1648
1	2536	1515
2	5002	1510

prune241.0ms

Filtered

113 candidates to 68 candidates (60.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes81.0ms

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	11	4
1	11	4

end0.0ms

sample437.0ms

Algorithm

intervals

Results

235.0ms

10089×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4