Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
78.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series753.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
587.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune330.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
1.6b	(- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b))
24.9b	(/ (- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b)) (+ (+ x t) y))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
66.0ms	(- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b))
150.0ms	(/ (- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b)) (+ (+ x t) y))

series735.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b))
569.0ms	(/ (- (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (* y b)) (+ (+ x t) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	526	1135
1	2375	1053
2	5002	1047

prune339.0ms

Filtered

100 candidates to 71 candidates (71.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.1b	(/ (* y b) (+ (+ x t) y))
21.2b	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
40×	`times-frac`
31×	`distribute-lft-out`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
18×	`unpow-prod-down`
16×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-l/` `associate-/r`
8×	`flip3-+` `flip-+` `associate-/l*`
6×	`pow1` `add-log-exp` `sqr-pow`
5×	`div-exp`
4×	`associate-l` `frac-add` `associate-/r/`
3×	`cbrt-undiv` `associate-r`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-to-exp` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
22.0ms	(/ (* y b) (+ (+ x t) y))
39.0ms	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

series349.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ (* y b) (+ (+ x t) y))
208.0ms	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	573	1381
1	2718	1250
2	5001	1250

prune396.0ms

Filtered

138 candidates to 82 candidates (59.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.8b	(/ y (/ (+ (+ x t) y) b))
21.2b	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
152×	`times-frac`
84×	`add-sqr-sqrt`
82×	`add-cube-cbrt`
61×	`distribute-lft-out`
24×	`associate-/r*`
18×	`unpow-prod-down`
16×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-l/` `associate-/l`
7×	`flip3-+` `flip-+`
6×	`pow1` `div-exp` `div-inv` `add-log-exp` `sqr-pow`
4×	`cbrt-undiv` `associate-l` `frac-add`
3×	`associate-r` `associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-to-exp` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 193

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
22.0ms	(/ y (/ (+ (+ x t) y) b))
42.0ms	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

series434.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
138.0ms	(/ y (/ (+ (+ x t) y) b))
232.0ms	(/ (pow (+ (* (+ x y) z) (* (+ t y) a)) 1) (+ (+ x t) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	776	2054
1	3644	1909
2	5002	1909

prune575.0ms

Filtered

205 candidates to 123 candidates (60.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

regimes488.0ms

Accuracy

14.3% (17.6b remaining)

Error of 20.6b against oracle of 3.0b and baseline of 23.6b

bsearch379.0ms

Steps

Iters	Range		Point
9	3.644186196478401e+118	2.144476888723747e+126	3.898108481789423e+118
4	2643.697379706373	4086.0217424804537	2688.7700160430627
8	4.458468403233373e-13	5.134554641820575e-10	2.0208228538524108e-10
8	7.712221921599229e-93	5.622944722488338e-90	2.2961033508151134e-92
5	1.8735192993517685e-138	5.843469951420182e-138	5.1113388430897134e-138
10	1.795029446070939e-232	3.1897077428265645e-222	4.98302695607473e-230
8	-1.4883485414625245e-211	-3.819456727726895e-215	-3.21777700749054e-212
8	-2.440613485859538e+164	-1.1311271175601338e+161	-1.9324464993872985e+161

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	81
1	61	81

end0.0ms

sample683.0ms

Algorithm

intervals

Results

395.0ms	7996×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid