Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

391×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-*l/` `add-cbrt-cube`
9×	`associate-r` `add-log-exp`
8×	`flip3--` `flip--`
4×	`frac-sub` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (- y 1.0) z)
13.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
10.0ms	(* (- t 1.0) a)
55.0ms	(* (- (+ y t) 2.0) b)

series177.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- y 1.0) z)
92.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
29.0ms	(* (- t 1.0) a)
29.0ms	(* (- (+ y t) 2.0) b)

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5001	539

prune291.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b	(* (- (+ y t) 2.0) b)
3.6b	(* (- (* t t) (* 1.0 1.0)) a)
9.2b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

19.0ms	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
54.0ms	(* (- (+ y t) 2.0) b)
10.0ms	(* (- (* t t) (* 1.0 1.0)) a)
10.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
30.0ms	(* (- (+ y t) 2.0) b)
39.0ms	(* (- (* t t) (* 1.0 1.0)) a)
57.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	580	843
1	2642	750
2	5001	742

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (+ y t) (+ y t))
8.7b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
14.0b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`distribute-lft-out`
10×	`associate-r`
8×	`associate-*l/`
7×	`flip3-+` `flip-+`
6×	`swap-sqr`
5×	`times-frac` `associate-/r*`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* (- t 1.0) a)
16.0ms	(* (+ y t) (+ y t))
33.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
30.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- t 1.0) a)
14.0ms	(* (+ y t) (+ y t))
45.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
73.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	579	851
1	2884	734
2	5001	730

prune349.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
0.1b	(* (- t 1.0) (sqrt a))
0.2b	(* (* (- t 1.0) (sqrt a)) (sqrt a))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*l/`
21×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
18×	`*-un-lft-identity`
15×	`associate-r`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`associate-l` `frac-add`
11×	`add-cube-cbrt`
8×	`frac-sub`
7×	`sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+l+`
3×	`diff-log` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`sub-neg` `associate--l+` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

62.0ms	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
53.0ms	(* (- (+ y t) 2.0) b)
12.0ms	(* (- t 1.0) (sqrt a))
19.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

series396.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
170.0ms	(* (- (+ y t) 2.0) b)
44.0ms	(* (- t 1.0) (sqrt a))
40.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

simplify114.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	954	1540
1	4933	1427
2	5001	1419

prune389.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample969.0ms

Algorithm

intervals

Results

553.0ms	12505×	body	80	valid
0.0ms	1×	body	320	valid