Details

analyze79.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	10

prune3.0ms

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.3b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

10.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
13.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
23.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify101.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1008	1422
1	4617	1341
2	5001	1341

prune355.0ms

Filtered

105 candidates to 126 candidates (-20.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	12	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	12	127

Merged error: 0b

Counts

127 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.0b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-l`
23×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
8×	`sqrt-prod`
7×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`sqrt-div` `associate-*l/`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-r` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`frac-times` `sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

13.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
17.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series53.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
5.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
19.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify89.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	973	1339
1	4224	1216
2	5001	1216

prune305.0ms

Filtered

99 candidates to 123 candidates (-24.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	125	10	135

Merged error: 0b

Counts

135 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
0.2b	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`associate-*l/`
8×	`associate-*r/` `sqrt-prod`
7×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
6×	`sqrt-div`
5×	`pow-prod-down`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 115

Calls

4 calls:

20.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
19.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
9.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify97.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	935	1430
1	4282	1295
2	5002	1295

prune298.0ms

Filtered

102 candidates to 127 candidates (-24.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.2b	(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

11.0ms	(* 9.0 (- a (/ 1.0 3.0)))
18.0ms	(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms	(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 9.0 (- a (/ 1.0 3.0)))
19.0ms	(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify108.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	795	1055
1	3509	934
2	5001	934

prune205.0ms

Filtered

82 candidates to 109 candidates (-32.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Merged error: 0b

Counts

116 → 7

regimes223.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

analyze73.0ms

Algorithm: search

sample636.0ms

Algorithm

intervals

Results

466.0ms	8000×	body	80	valid
14.0ms	259×	body	80	nan
13.0ms	240×	body	80	invalid

Details

analyze79.0ms

sample22.0ms

simplify93.0ms

prune3.0ms

localize13.0ms

rewrite43.0ms

series53.0ms

simplify101.0ms

prune355.0ms

localize11.0ms

rewrite52.0ms

series53.0ms

simplify89.0ms

prune305.0ms

localize11.0ms

rewrite58.0ms

series42.0ms

simplify97.0ms

prune298.0ms

localize10.0ms

rewrite53.0ms

series37.0ms

simplify108.0ms

prune205.0ms

regimes223.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze73.0ms

sample636.0ms

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