Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid

simplify105.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite263.0ms

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:

20.0ms	(* (+ x y) z)
71.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
154.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series798.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
106.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
56.0ms	(+ (* (+ x y) z) (* (+ t y) a))
613.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune296.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
0.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

107.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
71.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
125.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series861.0ms

Counts

4 → 12

Calls

4 calls:

593.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
105.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
112.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune12.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
0.7b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
25.2b	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

762×	`times-frac`
550×	`*-un-lft-identity`
310×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`distribute-lft-out`
79×	`associate-/r/`
48×	`add-exp-log`
40×	`div-inv`
34×	`div-exp`
24×	`flip3--` `flip--` `associate-/l*`
21×	`flip3-+` `flip-+`
18×	`associate-/r*` `add-cbrt-cube`
11×	`add-log-exp`
9×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`associate-*l/`
5×	`pow1`
4×	`frac-add`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `associate-/l/` `inv-pow`

Counts

4 → 445

Calls

4 calls:

69.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
71.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
134.0ms	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
69.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
51.0ms	(+ (* (+ x y) z) (* (+ t y) a))
578.0ms	(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify114.0ms

Algorithm

egg-herbie

Counts

457 → 457

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1846	10778
1	5001	10079

prune726.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.7b

regimes421.0ms

Accuracy

52.4% (11.6b remaining)

Error of 16.3b against oracle of 4.6b and baseline of 29.1b

bsearch66.0ms

Steps

Iters	Range		Point
6	2.7730850617529893e-08	2.6312679778022526e-07	2.570868954028346e-07
7	-1.1338306065556767e+59	-5.419901655373089e+57	-4.013662510187196e+58

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms

sample700.0ms

Algorithm

intervals

Results

334.0ms	7995×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid