Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

337×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.2b	(/ (* x (+ (- y z) 1.0)) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

40.0ms	(* x (+ (- y z) 1.0))
17.0ms	(/ (* x (+ (- y z) 1.0)) z)

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
38.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune93.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
5.0b	(/ (* x y) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

42.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
6.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
3.0ms	(/ (* x y) z)

series107.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
48.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
20.0ms	(/ (* x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	254	367
1	1124	344
2	5002	325

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
0.0b	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
5.0b	(* (* x y) (/ 1 z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

68.0ms	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
8.0ms	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
10.0ms	(* (* x y) (/ 1 z))

series101.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z))) x)
45.0ms	(+ (* (* x y) (/ 1 z)) (* 1.0 (/ x z)))
19.0ms	(* (* x y) (/ 1 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	399	505
1	1931	442
2	5002	412

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
0.0b	(+ (* x (/ y z)) (* 1.0 (/ x z)))
6.9b	(* x (/ y z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

27.0ms	(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
4.0ms	(+ (* x (/ y z)) (* 1.0 (/ x z)))
7.0ms	(* x (/ y z))

series101.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
41.0ms	(+ (* x (/ y z)) (* 1.0 (/ x z)))
19.0ms	(* x (/ y z))

simplify54.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	312	414
1	1437	392
2	5001	376

prune126.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

47.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.3b

bsearch41.0ms

Steps

Iters	Range		Point
9	3.6222469794403684e-107	2.8787808973289545e-98	3.5216806508699143e-102

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample845.0ms

Algorithm

intervals

Results

614.0ms

10017×

body

valid