Details

sample281.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	270×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 97

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
11.0ms	(/ (- 1.0 x) (+ 1.0 x))

series147.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
89.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
54.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	370	779
1	1128	734
2	5001	719

prune251.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
0.0b	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
0.0b	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
20×	`times-frac`
16×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `flip3--` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 83

Calls

4 calls:

1.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
1.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
1.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
9.0ms	(/ (- 1.0 x) (+ 1.0 x))

series431.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
235.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
161.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
33.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	549	829
1	1860	779
2	5001	763

prune288.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
0.0b	(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))
0.0b	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
136×	`*-un-lft-identity`
114×	`cbrt-div`
104×	`cbrt-prod`
90×	`add-sqr-sqrt`
66×	`add-cube-cbrt` `associate-/r/`
57×	`flip3-+` `flip-+`
36×	`frac-times`
26×	`distribute-lft-out`
18×	`associate-r/` `associate-l/`
17×	`associate-/l*`
15×	`add-exp-log`
11×	`pow1`
9×	`swap-sqr` `div-inv`
8×	`pow1/3` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
7×	`associate-r` `associate-l` `associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 252

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))
21.0ms	(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))
10.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ 1.0 x))
85.0ms	(cbrt (+ 1.0 x))
32.0ms	(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))
101.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify118.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	925	3714
1	3963	3563
2	5003	3430

prune835.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	13	8
1	13	8

end0.0ms

sample704.0ms

Algorithm

intervals

Results

311.0ms	8000×	body	80	valid
200.0ms	8057×	body	80	nan