Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

303×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	22	3
2	33	3
3	36	3
4	42	3
5	46	3
6	54	3
7	282	3
8	2072	3
9	5001	3

prune2.0ms

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: 12.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.8b	(/ (* x (+ y z)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`times-frac`
30×	`add-cube-cbrt`
20×	`associate-r`
15×	`associate-l`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 96

Calls

2 calls:

6.0ms	(* x (+ y z))
9.0ms	(/ (* x (+ y z)) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (+ y z))
41.0ms	(/ (* x (+ y z)) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	354	542
1	1624	513
2	5001	513

prune129.0ms

Filtered

102 candidates to 71 candidates (30.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
1.5b	(* x (/ (+ y z) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
16×	`associate-r`
12×	`associate-*r/`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`associate-/r*`
4×	`pow1` `associate-/l/`
3×	`associate-l` `clear-num` `un-div-inv`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 82

Calls

2 calls:

5.0ms	(/ (+ y z) z)
10.0ms	(* x (/ (+ y z) z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (+ y z) z)
38.0ms	(* x (/ (+ y z) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	275	374
1	1228	345
2	5001	345

prune103.0ms

Filtered

88 candidates to 56 candidates (36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
1.6b	(/ x (/ z (+ y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-/r*`
20×	`associate-/r/`
17×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 132

Calls

2 calls:

5.0ms	(/ z (+ y z))
9.0ms	(/ x (/ z (+ y z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ z (+ y z))
51.0ms	(/ x (/ z (+ y z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	418	890
1	1917	856
2	5001	853

prune171.0ms

Filtered

138 candidates to 96 candidates (30.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	139	5	144

Merged error: 0b

Counts

144 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

10.7b

(* (+ y z) (/ x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`frac-times` `*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r`
10×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
9×	`associate-r/` `associate-/r`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-l` `clear-num`
3×	`pow1` `frac-2neg`
2×	`associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out` `add-log-exp`

Counts

1 → 63

Calls

1 calls:

10.0ms

(* (+ y z) (/ x z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (+ y z) (/ x z))

simplify60.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	327	384
1	1769	364
2	5003	363

prune81.0ms

Filtered

66 candidates to 47 candidates (28.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Merged error: 0b

Counts

71 → 5

regimes58.0ms

Accuracy

0% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample409.0ms

Algorithm

intervals

Results

212.0ms

9647×

body

valid