Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify99.0ms

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: 25.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.0b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite308.0ms

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))
216.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
73.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series741.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
577.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

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

prune299.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
1.0b	(+ (* (+ x y) z) (* (+ t y) a))
8.8b	(/ (* y b) (+ (+ x t) y))
20.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `times-frac`
18×	`distribute-lft-out`
16×	`add-cube-cbrt` `associate-*l/`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`frac-add` `associate-/r/` `add-log-exp`
6×	`associate-/l/`
4×	`pow1` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 105

Calls

4 calls:

150.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(/ (* y b) (+ (+ x t) y))
33.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

685.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
47.0ms	(+ (* (+ x y) z) (* (+ t y) a))
66.0ms	(/ (* y b) (+ (+ x t) y))
209.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	562	1293
1	2674	1218
2	5002	1218

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.0b	(+ (* (+ x y) z) (* (+ t y) a))
8.8b	(/ y (/ (+ (+ x t) y) b))
20.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite100.0ms

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:

32.0ms	(/ (+ (+ x t) y) b)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
20.0ms	(/ y (/ (+ (+ x t) y) b))
33.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series406.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (+ (+ x t) y) b)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
135.0ms	(/ y (/ (+ (+ x t) y) b))
205.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (63.0ms)

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

prune524.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.0b	(+ (* (+ x y) z) (* (+ t y) a))
8.1b	(* y (/ b (+ (+ x t) y)))
20.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite99.0ms

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-r`
16×	`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-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

17.0ms	(/ b (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(* y (/ b (+ (+ x t) y)))
33.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series361.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ b (+ (+ x t) y))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
70.0ms	(* y (/ b (+ (+ x t) y)))
208.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune379.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

regimes386.0ms

Accuracy

8% (20.2b remaining)

Error of 23.1b against oracle of 2.9b and baseline of 24.9b

bsearch301.0ms

Steps

Iters	Range		Point
7	9.527769158271123e+230	6.307412931937878e+232	9.710984417321525e+230
7	2.2403849999126312e-203	5.336812281805387e-201	6.764295827651096e-203
8	-3.60492936257594e-271	-1.3606216317788122e-275	-2.8607533668137723e-271
8	-2.9487660899258344e-168	-1.0891363728484868e-171	-6.687658727110805e-170
7	-1571706.2701315084	-6296.219699052463	-485115.4001107813
8	-2.02871990001622e+135	-4.08314403078979e+130	-1.5070868377098019e+134
7	-1.2429840927979902e+173	-1.4860138911190977e+171	-1.510420172746674e+171

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	63
1	62	63

end0.0ms

sample586.0ms

Algorithm

intervals

Results

330.0ms	7997×	body	80	valid
0.0ms	3×	body	320	valid