Details

sample123.0ms

Algorithm

intervals

Results

57.0ms	96×	body	1280	valid
29.0ms	87×	body	640	valid
11.0ms	242×	body	80	nan
11.0ms	49×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	7×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	61	6
4	88	6
5	104	6
6	113	6
7	113	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
118.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602

prune178.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) x)
0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
72×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
41×	`*-un-lft-identity`
38×	`add-cube-cbrt`
26×	`add-exp-log` `unpow2`
24×	`sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1` `associate-+r+` `associate-*r/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`log-prod` `associate-l` `associate--l+` `sum-log`
2×	`+-commutative` `associate-+l+` `flip3--` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `diff-log` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out`

Counts

3 → 148

Calls

3 calls:

6.0ms	(+ (pow x 2) x)
14.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
26.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series371.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (pow x 2) x)
286.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
48.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify90.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	824	1158
1	3749	1024
2	5001	1020

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (pow x 2) x)) (cbrt (+ (pow x 2) x)))
0.6b	(cbrt (+ (pow x 2) x))
0.6b	(cbrt (+ (pow x 2) x))
0.6b	(cbrt (+ (pow x 2) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
42×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`unpow2`
11×	`pow1` `swap-sqr`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
7×	`distribute-rgt-out` `distribute-lft1-in`
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 → 107

Calls

4 calls:

45.0ms	(* (cbrt (+ (pow x 2) x)) (cbrt (+ (pow x 2) x)))
5.0ms	(cbrt (+ (pow x 2) x))
5.0ms	(cbrt (+ (pow x 2) x))
5.0ms	(cbrt (+ (pow x 2) x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (+ (pow x 2) x)) (cbrt (+ (pow x 2) x)))
32.0ms	(cbrt (+ (pow x 2) x))
36.0ms	(cbrt (+ (pow x 2) x))
33.0ms	(cbrt (+ (pow x 2) x))

simplify152.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	279	968
1	964	917
2	4364	850
3	5003	845

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (cbrt (+ (pow x 2) x)) 6)
0.6b	(cbrt (+ (pow x 2) x))
0.6b	(cbrt (+ (pow x 2) x))
29.3b	(pow (pow (cbrt (+ (pow x 2) x)) 6) 1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
25×	`*-un-lft-identity`
24×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow2`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-div` `distribute-rgt-out` `distribute-lft1-in` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
2×	`flip3-+` `flip-+`
1×	`unpow1/3`

Counts

4 → 86

Calls

4 calls:

11.0ms	(pow (cbrt (+ (pow x 2) x)) 6)
5.0ms	(cbrt (+ (pow x 2) x))
5.0ms	(cbrt (+ (pow x 2) x))
25.0ms	(pow (pow (cbrt (+ (pow x 2) x)) 6) 1/3)

series168.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (cbrt (+ (pow x 2) x)) 6)
33.0ms	(cbrt (+ (pow x 2) x))
32.0ms	(cbrt (+ (pow x 2) x))
58.0ms	(pow (pow (cbrt (+ (pow x 2) x)) 6) 1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	354	649
1	1291	593
2	5002	529

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes81.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	3471×	body	1280	valid
856.0ms	2463×	body	640	valid
380.0ms	8027×	body	80	nan
283.0ms	1265×	body	320	valid
84.0ms	612×	body	160	valid
12.0ms	189×	body	80	valid