Details

sample285.0ms

Algorithm

intervals

Results

12.0ms	417×	body	80	valid
8.0ms	417×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series158.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
38.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune175.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
19.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
135.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
186.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify45.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	848	1785
1	5002	1567

prune307.0ms

Filtered

135 candidates to 100 candidates (74.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0.0b

Counts

141 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))

series380.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
90.0ms	(cbrt (- 1.0 m))
90.0ms	(cbrt (- 1.0 m))
94.0ms	(cbrt (- 1.0 m))

simplify152.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4436	750
3	5001	746

prune253.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
15.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
138.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
142.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
164.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

simplify83.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	547	4692
1	1673	4585
2	5001	4515

prune520.0ms

Filtered

174 candidates to 124 candidates (71.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	173	7	180

Merged error: 0.0b

Counts

180 → 7

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample848.0ms

Algorithm

intervals

Results

386.0ms	13633×	body	80	valid
240.0ms	13633×	pre	80	true

Details

sample285.0ms

simplify79.0ms

prune3.0ms

localize9.0ms

rewrite58.0ms

series158.0ms

simplify59.0ms

prune175.0ms

localize12.0ms

rewrite61.0ms

series381.0ms

simplify45.0ms

prune307.0ms

localize13.0ms

rewrite23.0ms

series380.0ms

simplify152.0ms

prune253.0ms

localize11.0ms

rewrite64.0ms

series586.0ms

simplify83.0ms

prune520.0ms

regimes86.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample848.0ms

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