Details

analyze11.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify552.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

prune4.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`pow1` `associate-/r/` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

2 → 53

Calls

2 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
20.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify90.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	233	384
1	688	359
2	3008	354
3	5001	354

prune98.0ms

Filtered

42 candidates to 59 candidates (-40.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	2	60

Merged error: 0b

Counts

60 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
0.0b	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
100×	`times-frac`
99×	`add-sqr-sqrt`
58×	`cbrt-prod`
57×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 193

Calls

4 calls:

1.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
8.0ms	(/ (- 1.0 x) (+ x 1.0))
10.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
11.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

series11.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
3.0ms	(/ (- 1.0 x) (+ x 1.0))
4.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
3.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	580	1553
1	2518	1443
2	5001	1425

prune216.0ms

Filtered

94 candidates to 205 candidates (-118.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	205	2	207

Merged error: 0b

Counts

207 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
0.0b	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

1.0ms	(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
16.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
4.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	365	654
1	1545	507
2	5003	451

prune107.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Merged error: 0b

Counts

70 → 2

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

analyze7.0ms

Algorithm: search

sample472.0ms

Algorithm

intervals

Results

374.0ms

8000×

body

valid

Details

analyze11.0ms

sample21.0ms

simplify552.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series23.0ms

simplify90.0ms

prune98.0ms

localize10.0ms

rewrite38.0ms

series11.0ms

simplify76.0ms

prune216.0ms

localize12.0ms

rewrite19.0ms

series7.0ms

simplify47.0ms

prune107.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze7.0ms

sample472.0ms

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