Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite120.0ms

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	(* (+ x y) z)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
71.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series721.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) z)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
563.0ms	(/ (- (+ (* (+ 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

prune305.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite153.0ms

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:

51.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
59.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

553.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
47.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
94.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

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

prune375.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

19.0ms	(/ 1 (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
120.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
552.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	562	1271
1	2768	1148
2	5002	1106

prune301.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.2b	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
1.4b	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
26.1b	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite986.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
12×	`associate-*l/` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
4×	`pow1` `frac-add`
3×	`cbrt-prod` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `pow1/3` `div-sub` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 80

Calls

4 calls:

0.0ms	(cbrt z)
38.0ms	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
334.0ms	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
611.0ms	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
102.0ms	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
152.0ms	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
629.0ms	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	517	1549
1	2335	1436
2	5001	1410

prune280.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.2b

regimes532.0ms

Accuracy

84.3% (3.5b remaining)

Error of 7.9b against oracle of 4.5b and baseline of 26.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample626.0ms

Algorithm

intervals

Results

354.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid