Details

analyze76.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

6.0ms	201×	body	80	valid
3.0ms	22×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	10×	body	1280	valid
0.0ms	6×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5002	5

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: 19.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.6b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune110.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.1b

Counts

73 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
2.5b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

5.0ms	(/ y (+ y 1.0))
11.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series23.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ y (+ y 1.0))
9.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
11.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5001	526

prune111.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Merged error: 0.1b

Counts

101 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (* (- 1.0 x) y))
7.3b	(cbrt (* (- 1.0 x) y))
7.3b	(cbrt (* (- 1.0 x) y))
11.2b	(- 1.0 (/ (* (* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y))) (cbrt (* (- 1.0 x) y))) (+ y 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `-un-lft-identity` `associate-l/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
3×	`cbrt-prod` `pow1/3`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 47

Calls

4 calls:

5.0ms	(cbrt (* (- 1.0 x) y))
5.0ms	(cbrt (* (- 1.0 x) y))
5.0ms	(cbrt (* (- 1.0 x) y))
7.0ms	(- 1.0 (/ (* (* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y))) (cbrt (* (- 1.0 x) y))) (+ y 1.0)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (* (- 1.0 x) y))
18.0ms	(cbrt (* (- 1.0 x) y))
20.0ms	(cbrt (* (- 1.0 x) y))
17.0ms	(- 1.0 (/ (* (* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y))) (cbrt (* (- 1.0 x) y))) (+ y 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	275	816
1	750	764
2	2950	745
3	5001	745

prune167.0ms

Filtered

51 candidates to 59 candidates (-15.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.1b

Counts

63 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.6b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.6b	(/ (* (- 1.0 x) y) (+ y 1.0))
9.7b	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
28×	`times-frac`
21×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
11×	`distribute-lft-out`
8×	`associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-*l/`
5×	`difference-of-squares`
4×	`pow1` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 122

Calls

4 calls:

9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
11.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
12.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
80.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	431	1543
1	2019	1406
2	5002	1406

prune240.0ms

Filtered

98 candidates to 134 candidates (-36.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	134	4	138

Merged error: 0.1b

Counts

138 → 4

regimes200.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 14.5b

bsearch78.0ms

Steps

Iters	Range		Point
10	48.61068182401499	1.2343832415917472e+19	195338628.60537606
8	-426206752906.13654	-52963045.701974794	-125531523.70300923

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

analyze74.0ms

Algorithm: search

sample531.0ms

Algorithm

intervals

Results

197.0ms	6080×	body	80	valid
85.0ms	737×	body	640	valid
56.0ms	391×	body	1280	valid
49.0ms	527×	body	320	valid
16.0ms	265×	body	160	valid

Details

analyze76.0ms

sample19.0ms

simplify63.0ms

prune3.0ms

localize6.0ms

rewrite24.0ms

series25.0ms

simplify45.0ms

prune110.0ms

localize7.0ms

rewrite22.0ms

series23.0ms

simplify50.0ms

prune111.0ms

localize11.0ms

rewrite23.0ms

series72.0ms

simplify77.0ms

prune167.0ms

localize11.0ms

rewrite44.0ms

series100.0ms

simplify65.0ms

prune240.0ms

regimes200.0ms

bsearch78.0ms

simplify1.0ms

end0.0ms

analyze74.0ms

sample531.0ms

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