Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

320×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

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: 1.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.3b	(* (/ x y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

5.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms	(* (/ x y) z)

series91.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms	(* (/ x y) z)

simplify117.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394

prune171.0ms

Filtered

88 candidates to 63 candidates (71.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (+ x 4.0) y))
0.5b	(cbrt (/ (+ x 4.0) y))
0.5b	(cbrt (/ (+ x 4.0) y))
2.3b	(* (/ x y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
48×	`cbrt-prod`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 107

Calls

4 calls:

4.0ms	(cbrt (/ (+ x 4.0) y))
4.0ms	(cbrt (/ (+ x 4.0) y))
4.0ms	(cbrt (/ (+ x 4.0) y))
6.0ms	(* (/ x y) z)

series311.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (/ (+ x 4.0) y))
97.0ms	(cbrt (/ (+ x 4.0) y))
95.0ms	(cbrt (/ (+ x 4.0) y))
20.0ms	(* (/ x y) z)

simplify147.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	331	938
1	1055	890
2	4931	826
3	5001	826

prune318.0ms

Filtered

119 candidates to 94 candidates (79.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.3b	(* (/ x y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (/ x y) z)

series540.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt y)
172.0ms	(cbrt y)
178.0ms	(cbrt y)
21.0ms	(* (/ x y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	186	245
1	643	221
2	2420	214
3	5001	211

prune189.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (+ x 4.0) y))
0.5b	(cbrt (cbrt (/ (+ x 4.0) y)))
0.6b	(cbrt (* (cbrt (/ (+ x 4.0) y)) (cbrt (/ (+ x 4.0) y))))
2.3b	(* (/ x y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
41×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `times-frac`
29×	`add-cube-cbrt`
13×	`associate-l`
10×	`cbrt-div`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `distribute-lft-out`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `div-inv`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `-commutative`

Counts

4 → 97

Calls

4 calls:

4.0ms	(cbrt (/ (+ x 4.0) y))
5.0ms	(cbrt (cbrt (/ (+ x 4.0) y)))
10.0ms	(cbrt (* (cbrt (/ (+ x 4.0) y)) (cbrt (/ (+ x 4.0) y))))
6.0ms	(* (/ x y) z)

series538.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (/ (+ x 4.0) y))
258.0ms	(cbrt (cbrt (/ (+ x 4.0) y)))
163.0ms	(cbrt (* (cbrt (/ (+ x 4.0) y)) (cbrt (/ (+ x 4.0) y))))
20.0ms	(* (/ x y) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	567	975
1	1712	912
2	5002	848

prune356.0ms

Filtered

109 candidates to 87 candidates (79.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

regimes88.0ms

Accuracy

37.3% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.6b

bsearch35.0ms

Steps

Iters	Range		Point
8	-1.6010517425641268e+43	-4.496579583193972e+38	-1.3048045882813734e+43

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample497.0ms

Algorithm

intervals

Results

292.0ms

10115×

body

valid