Details

sample46.0ms

Algorithm

intervals

Results

10.0ms	536×	pre	80	true
9.0ms	144×	body	160	valid
8.0ms	280×	body	80	nan
4.0ms	112×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	9
1	43	9
2	83	9
3	110	9
4	118	9
5	118	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

7.0ms	(* (* 3.0 a) c)
3.0ms	(- (* b b) (* (* 3.0 a) c))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
45.0ms	(- (* b b) (* (* 3.0 a) c))
104.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	449	785
1	2075	672
2	5002	663

prune256.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.4b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

3.0ms	(/ (* a c) b)
10.0ms	(* -1.5 (/ (* a c) b))
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series65.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	383	531
1	2513	389
2	5002	389

prune177.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (* (* a c) (/ 1 b)))
0.4b	(* (* a c) (/ 1 b))
0.4b	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

153×	`add-exp-log`
89×	`add-cbrt-cube`
85×	`prod-exp`
45×	`cbrt-unprod`
36×	`div-exp`
20×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`pow-prod-down`
8×	`rec-exp` `1-exp`
7×	`associate-*r/`
4×	`associate-l`
3×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

3 → 122

Calls

3 calls:

25.0ms	(* -1.5 (* (* a c) (/ 1 b)))
10.0ms	(* (* a c) (/ 1 b))
25.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

series69.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* -1.5 (* (* a c) (/ 1 b)))
18.0ms	(* (* a c) (/ 1 b))
20.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

simplify84.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	624	891
1	4037	618
2	5001	603

prune136.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.3b

regimes574.0ms

Accuracy

57.3% (5.8b remaining)

Error of 15.0b against oracle of 9.2b and baseline of 22.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	69
1	42	69

end0.0ms

sample1.3s

Algorithm

intervals

Results

294.0ms	16511×	pre	80	true
271.0ms	4451×	body	160	valid
261.0ms	8511×	body	80	nan
112.0ms	3549×	body	80	valid