Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify262.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	3658	4
11	4029	4
12	4425	4
13	5001	4

prune5.0ms

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: 3.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
2.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(- 1.0 (* (- 1.0 y) z))
6.0ms	(* (- 1.0 y) z)
12.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- 1.0 (* (- 1.0 y) z))
33.0ms	(* (- 1.0 y) z)
54.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify126.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	252	380
1	996	343
2	4221	332
3	5001	332

prune99.0ms

Filtered

77 candidates to 47 candidates (39.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
1.5b	(* (* x z) (- y 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

22.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms	(* (* x z) (- y 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
57.0ms	(* (* x z) (- y 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	296	375
1	1247	323
2	5001	318

prune97.0ms

Filtered

70 candidates to 45 candidates (35.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-r`
22×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
10×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-+r+`
6×	`associate-*r/`
5×	`*-commutative` `add-log-exp` `unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `sum-log` `flip-+`

Counts

3 → 93

Calls

3 calls:

6.0ms	(* x (- y 1.0))
23.0ms	(+ (* x 1.0) (* z (* x (- y 1.0))))
11.0ms	(* z (* x (- y 1.0)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* x (- y 1.0))
72.0ms	(+ (* x 1.0) (* z (* x (- y 1.0))))
55.0ms	(* z (* x (- y 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	324	483
1	1509	429
2	5001	421

prune124.0ms

Filtered

102 candidates to 59 candidates (42.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
2.9b	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
3.5b	(* (- (* 1.0 1.0) (* y y)) z)
6.4b	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

398×	`add-sqr-sqrt`
228×	`*-un-lft-identity`
225×	`associate-l`
172×	`times-frac`
156×	`difference-of-squares`
72×	`swap-sqr`
69×	`unswap-sqr`
67×	`*-commutative`
66×	`add-cube-cbrt`
43×	`distribute-lft-out`
42×	`associate-/l*`
32×	`distribute-lft-out--`
25×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
4×	`flip3--` `associate-l/` `associate-/r` `flip--`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `div-exp` `pow-prod-down` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv`

Counts

4 → 326

Calls

4 calls:

65.0ms	(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
69.0ms	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
25.0ms	(* (- (* 1.0 1.0) (* y y)) z)
33.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
101.0ms	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
44.0ms	(* (- (* 1.0 1.0) (* y y)) z)
70.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

simplify143.0ms

Algorithm

egg-herbie

Counts

338 → 338

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	771	2866
1	3532	2746
2	5001	2746

prune335.0ms

Filtered

338 candidates to 139 candidates (58.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	338	5	343

Merged error: 0b

Counts

343 → 5

regimes175.0ms

Accuracy

86.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample455.0ms

Algorithm

intervals

Results

244.0ms

10127×

body

valid