Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

320×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	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

localize12.0ms

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)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 117

Calls

3 calls:

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

series90.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
45.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms	(* (/ x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune257.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	5	127

Merged error: 0.0b

Counts

127 → 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)

rewrite25.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 115

Calls

4 calls:

4.0ms	(cbrt (/ (+ x 4.0) y))
4.0ms	(cbrt (/ (+ x 4.0) y))
4.0ms	(cbrt (/ (+ x 4.0) y))
9.0ms	(* (/ x y) z)

series427.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (/ (+ x 4.0) y))
89.0ms	(cbrt (/ (+ x 4.0) y))
91.0ms	(cbrt (/ (+ x 4.0) y))
20.0ms	(* (/ x y) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	337	968
1	1077	917
2	5001	850

prune362.0ms

Filtered

127 candidates to 102 candidates (80.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize14.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 73

Calls

4 calls:

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

series539.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
167.0ms	(cbrt y)
165.0ms	(cbrt y)
20.0ms	(* (/ x y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	190	263
1	647	239
2	2424	232
3	5001	229

prune241.0ms

Filtered

85 candidates to 69 candidates (81.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

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)

rewrite32.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 105

Calls

4 calls:

4.0ms	(cbrt (/ (+ x 4.0) y))
5.0ms	(cbrt (cbrt (/ (+ x 4.0) y)))
13.0ms	(cbrt (* (cbrt (/ (+ x 4.0) y)) (cbrt (/ (+ x 4.0) y))))
6.0ms	(* (/ x y) z)

series396.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (/ (+ x 4.0) y))
122.0ms	(cbrt (cbrt (/ (+ x 4.0) y)))
160.0ms	(cbrt (* (cbrt (/ (+ x 4.0) y)) (cbrt (/ (+ x 4.0) y))))
20.0ms	(* (/ x y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	585	1017
1	1782	950
2	5001	884

prune399.0ms

Filtered

117 candidates to 95 candidates (81.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

regimes97.0ms

Accuracy

37.3% (1.6b remaining)

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

bsearch36.0ms

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

sample523.0ms

Algorithm

intervals

Results

303.0ms

10115×

body

valid