Details

sample38.0ms

Algorithm

intervals

Results

23.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify100.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
21.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite121.0ms

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:

9.0ms	(* (+ t y) a)
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series747.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ t y) a)
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
582.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune325.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
9.4b	(/ (* y b) (+ (+ x t) y))
17.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

9.0ms	(* (+ t y) a)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(/ (* y b) (+ (+ x t) y))
30.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series345.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
70.0ms	(/ (* y b) (+ (+ x t) y))
207.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune350.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
8.1b	(/ y (/ (+ (+ x t) y) b))
17.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

33.0ms	(/ (+ (+ x t) y) b)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
20.0ms	(/ y (/ (+ (+ x t) y) b))
30.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (+ (+ x t) y) b)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
133.0ms	(/ y (/ (+ (+ x t) y) b))
209.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	726	1823
1	3478	1734
2	5001	1733

prune521.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(* (/ y (+ (+ x t) y)) b)
17.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

16.0ms	(/ y (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
40.0ms	(* (/ y (+ (+ x t) y)) b)
29.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series447.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ y (+ (+ x t) y))
47.0ms	(+ (* (+ x y) z) (* (+ t y) a))
132.0ms	(* (/ y (+ (+ x t) y)) b)
206.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	562	1213
1	2590	1129
2	5001	1129

prune375.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.8b

regimes332.0ms

Accuracy

7.1% (19.3b remaining)

Error of 22.6b against oracle of 3.3b and baseline of 24.1b

bsearch127.0ms

Steps

Iters	Range		Point
0	5.412422376165811e+182	5.722833008818268e+182	5.567627692492039e+182
10	3.9793105680588966e-79	9.841908220783252e-65	4.92454671656264e-78
9	-7.369787736381232e-169	-4.145596723043398e-174	-1.527978089724184e-170

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	38
1	43	38

end0.0ms

sample1.0s

Algorithm

intervals

Results

730.0ms	7997×	body	80	valid
1.0ms	3×	body	160	valid