Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

270×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
6.0b	(/ (* y z) t)
6.7b	(/ (* y b) t)
13.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (/ (* y z) t))
18.0ms	(/ (* y z) t)
19.0ms	(/ (* y b) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune292.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ t (* y b)))
6.0b	(/ (* y z) t)
6.8b	(/ t (* y b))
13.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

7.0ms	(/ 1 (/ t (* y b)))
3.0ms	(/ (* y z) t)
3.0ms	(/ t (* y b))
50.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y b)))
17.0ms	(/ (* y z) t)
20.0ms	(/ t (* y b))
102.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	594	1260
1	2799	1112
2	5001	1109

prune340.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ (/ t y) b))
4.4b	(/ (/ t y) b)
6.0b	(/ (* y z) t)
13.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

499×	`times-frac`
301×	`*-un-lft-identity`
245×	`add-sqr-sqrt` `add-cube-cbrt`
56×	`associate-/r*`
38×	`distribute-lft-out`
37×	`add-exp-log`
34×	`div-inv`
25×	`add-cbrt-cube`
21×	`div-exp` `associate-/l*`
12×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
2×	`frac-add`
1×	`pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 348

Calls

4 calls:

17.0ms	(/ 1 (/ (/ t y) b))
6.0ms	(/ (/ t y) b)
3.0ms	(/ (* y z) t)
130.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (/ (/ t y) b))
21.0ms	(/ (/ t y) b)
18.0ms	(/ (* y z) t)
100.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify63.0ms

Algorithm

egg-herbie

Counts

360 → 360

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1339	3220
1	5001	2642

prune798.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ t (* y b)))
6.1b	(* (* y z) (/ 1 t))
6.8b	(/ t (* y b))
13.6b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
66×	`times-frac`
54×	`add-exp-log`
41×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`add-cbrt-cube`
24×	`distribute-lft-out`
19×	`div-exp`
16×	`prod-exp` `div-inv`
15×	`associate-/r*`
13×	`associate-r`
10×	`pow1` `cbrt-undiv`
9×	`associate-/l*`
8×	`cbrt-unprod`
5×	`rec-exp` `1-exp` `associate-/r/`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `associate-r/` `associate-l` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 164

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y b)))
12.0ms	(* (* y z) (/ 1 t))
3.0ms	(/ t (* y b))
43.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y b)))
17.0ms	(* (* y z) (/ 1 t))
20.0ms	(/ t (* y b))
94.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	702	1333
1	3459	1128
2	5001	1119

prune359.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

regimes397.0ms

Accuracy

54.8% (2.9b remaining)

Error of 13.5b against oracle of 10.6b and baseline of 17.0b

bsearch121.0ms

Steps

Iters	Range		Point
7	1.0027151462819663e+34	1.8381080079269703e+36	2.881100886802703e+35
10	-1.2918616751995323e+109	-1.5921190167099515e+93	-5.022324262227073e+93

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	28
1	48	28

end0.0ms

sample642.0ms

Algorithm

intervals

Results

359.0ms

8282×

body

valid