Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

321×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 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)

rewrite15.0ms

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))
10.0ms	(* (- 1.0 x) z)

series75.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) (* (- 1.0 x) z))
36.0ms	(* (- 1.0 x) z)

simplify98.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune88.0ms

Filtered

39 candidates to 28 candidates (28.2%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.2b	(* (- (* 1.0 1.0) (* x x)) z)
7.4b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite22.0ms

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:

6.0ms	(+ (* 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))

series184.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
50.0ms	(* (- (* 1.0 1.0) (* x x)) z)
71.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

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

prune215.0ms

Filtered

68 candidates to 48 candidates (29.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)
0.2b	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
40.0b	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (* x y) (* (- 1.0 x) z))
6.0ms	(* (- 1.0 x) z)
4.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x y) (* (- 1.0 x) z))
38.0ms	(* (- 1.0 x) z)
100.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
37.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	328	623
1	1625	581
2	5002	575

prune271.0ms

Filtered

93 candidates to 56 candidates (39.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes199.0ms

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

sample672.0ms

Algorithm

intervals

Results

289.0ms

10242×

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

Details

sample36.0ms

simplify25.0ms

prune4.0ms

localize6.0ms

rewrite15.0ms

series75.0ms

simplify98.0ms

prune88.0ms

localize10.0ms

rewrite22.0ms

series184.0ms

simplify49.0ms

prune215.0ms

localize10.0ms

rewrite22.0ms

series211.0ms

simplify53.0ms

prune271.0ms

regimes199.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample672.0ms

Profiling

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