Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

20.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune197.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (log 1.1283791670955126))
0.0b	(exp (+ z (log 1.1283791670955126)))
1.2b	(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.7b	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(+ z (log 1.1283791670955126))
9.0ms	(exp (+ z (log 1.1283791670955126)))
35.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
60.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ z (log 1.1283791670955126))
25.0ms	(exp (+ z (log 1.1283791670955126)))
89.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
140.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify134.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	295	587
1	1031	532
2	4181	520
3	5002	519

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ z (log 1.1283791670955126)))
0.1b	(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
1.2b	(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.6b	(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
6×	`pow1` `div-inv` `associate-/l*`
5×	`exp-prod`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `rem-exp-log` `associate-/l/` `distribute-lft-out`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `exp-sum` `sum-log` `associate-/r/` `log-pow` `inv-pow`

Counts

4 → 133

Calls

4 calls:

9.0ms	(exp (+ z (log 1.1283791670955126)))
38.0ms	(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
29.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
64.0ms	(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

series308.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (+ z (log 1.1283791670955126)))
87.0ms	(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
90.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
112.0ms	(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	485	1561
1	2272	1419
2	5001	1341

prune323.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))
0.0b	(+ x (/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))))
0.1b	(/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1)))
0.2b	(/ (exp z) (/ y 1.1283791670955126))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

323×	`add-sqr-sqrt`
295×	`times-frac`
157×	`*-un-lft-identity`
83×	`add-cube-cbrt`
72×	`difference-of-squares`
45×	`sqrt-prod`
27×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`add-cbrt-cube`
9×	`add-exp-log` `associate-/l*`
8×	`add-log-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/`
2×	`flip3--` `frac-2neg` `clear-num` `frac-sub` `flip--`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 225

Calls

4 calls:

51.0ms	(- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))
137.0ms	(+ x (/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))))
77.0ms	(/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1)))
6.0ms	(/ (exp z) (/ y 1.1283791670955126))

series181.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))
41.0ms	(+ x (/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1))))
71.0ms	(/ (sqrt 1) (- (/ (exp z) (/ y 1.1283791670955126)) (/ x 1)))
22.0ms	(/ (exp z) (/ y 1.1283791670955126))

simplify86.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	788	2998
1	3334	2535
2	5001	2523

prune484.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	22	12
2	22	12

end0.0ms

sample405.0ms

Algorithm

intervals

Results

244.0ms

8000×

body

valid