Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

310×

body

valid

simplify71.0ms

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 (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: 15.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
14.2b	(/ (* x (+ y z)) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(/ (* x (+ y z)) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ y z))
44.0ms	(/ (* x (+ y z)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	226	206
1	1099	177
2	5001	177

prune105.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0b

Counts

53 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ z (+ y z))
59.0ms	(/ x (/ z (+ y z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5002	832

prune249.0ms

Filtered

129 candidates to 91 candidates (70.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
1.8b	(* x (/ (+ y z) z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

6.0ms	(/ (+ y z) z)
10.0ms	(* x (/ (+ y z) z))

series65.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (+ y z) z)
43.0ms	(* x (/ (+ y z) z))

simplify115.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	233	344
1	1013	313
2	3962	313
3	5001	313

prune124.0ms

Filtered

74 candidates to 48 candidates (64.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
6.1b	(/ (* x y) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (/ (* x y) z) x)
5.0ms	(/ (* x y) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (/ (* x y) z) x)
25.0ms	(/ (* x y) z)

simplify99.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	168	160
1	736	144
2	3353	142
3	5001	142

prune58.0ms

Filtered

39 candidates to 26 candidates (66.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	39	5	44

Merged error: 0b

Counts

44 → 5

regimes77.0ms

Accuracy

24.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.0b

bsearch73.0ms

Steps

Iters	Range		Point
8	1.3630700529814987e-251	9.95841995844553e-249	1.1988184646526967e-249
9	-1.0312084262195005e+35	-1.2303818987046844e+30	-1.3343627764232323e+30

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample441.0ms

Algorithm

intervals

Results

238.0ms

9611×

body

valid