Details

sample62.0ms

Algorithm

intervals

Results

25.0ms

511×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

8.0ms	(- (* z z) t)
39.0ms	(* (* y 4.0) (- (* z z) t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (* z z) t)
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify36.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	214	228
1	984	192
2	5001	191

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (- (* t t)) (pow z 4)) 4.0)
1.9b	(+ (- (* t t)) (pow z 4))
8.1b	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
18.7b	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`flip3-+` `associate-l` `flip-+`
4×	`pow-prod-down`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`sum-log` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `frac-2neg` `neg-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

40.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
12.0ms	(+ (- (* t t)) (pow z 4))
55.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
66.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

series322.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
62.0ms	(+ (- (* t t)) (pow z 4))
74.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
101.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

simplify80.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	423	814
1	2658	627
2	5001	619

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y))
1.9b	(- (pow z 4) (pow t 2))
4.9b	(/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y)
26.7b	(/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
134×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
120×	`add-cube-cbrt`
52×	`add-exp-log`
35×	`associate-/r*` `associate-/r/`
34×	`associate-*r/`
32×	`add-cbrt-cube`
30×	`div-exp`
23×	`div-inv`
18×	`flip3--` `flip--`
16×	`cbrt-undiv`
15×	`associate-/l*`
12×	`difference-of-squares`
7×	`unpow-prod-down` `sqr-pow`
6×	`add-log-exp`
5×	`pow1` `prod-exp`
4×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `associate-/l/` `unpow2`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 262

Calls

4 calls:

57.0ms	(/ 1 (/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y))
18.0ms	(- (pow z 4) (pow t 2))
50.0ms	(/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y)
42.0ms	(/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ 1 (/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y))
45.0ms	(- (pow z 4) (pow t 2))
65.0ms	(/ (/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2)))) y)
52.0ms	(/ (+ (* z z) t) (* 4.0 (- (pow z 4) (pow t 2))))

simplify59.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1058	3829
1	5001	3352

prune810.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- z (sqrt t))
0.0b	(+ z (sqrt t))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.1b	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-r/` `associate-r*`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`flip3-+` `flip-+`
4×	`frac-times` `flip3--` `flip--` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`associate-l` `associate-l/` `sqrt-prod` `-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `diff-log` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- z (sqrt t))
6.0ms	(+ z (sqrt t))
31.0ms	(* (* y 4.0) (+ z (sqrt t)))
88.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- z (sqrt t))
25.0ms	(+ z (sqrt t))
58.0ms	(* (* y 4.0) (+ z (sqrt t)))
97.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	432	708
1	2656	578
2	5001	573

prune227.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 2.9b

regimes325.0ms

Accuracy

82.9% (0.5b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 5.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample965.0ms

Algorithm

intervals

Results

457.0ms

15643×

body

valid