Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.7b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
14.0ms	(* (/ x y) (- z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ x y) (- z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune122.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* t (/ x y)))
0.0b	(+ (* z (/ x y)) (- t (* t (/ x y))))
4.0b	(* z (/ x y))
4.1b	(* t (/ x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip--` `div-inv`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 93

Calls

4 calls:

2.0ms	(- t (* t (/ x y)))
7.0ms	(+ (* z (/ x y)) (- t (* t (/ x y))))
7.0ms	(* z (/ x y))
7.0ms	(* t (/ x y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- t (* t (/ x y)))
31.0ms	(+ (* z (/ x y)) (- t (* t (/ x y))))
17.0ms	(* z (/ x y))
21.0ms	(* t (/ x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	428	530
1	2114	490
2	5001	477

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
13.1b	(cbrt (/ x y))
13.1b	(cbrt (/ x y))
13.1b	(cbrt (/ x y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 119

Calls

4 calls:

41.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
1.0ms	(cbrt (/ x y))
1.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series232.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
60.0ms	(cbrt (/ x y))
57.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	478	1197
1	1553	1009
2	5001	890

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
0.0b	(- (/ (* x z) y) (/ (* t x) y))
4.3b	(/ (* t x) y)
7.9b	(/ (* x z) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

52.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
10.0ms	(- (/ (* x z) y) (/ (* t x) y))
3.0ms	(/ (* t x) y)
4.0ms	(/ (* x z) y)

series118.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
46.0ms	(- (/ (* x z) y) (/ (* t x) y))
19.0ms	(/ (* t x) y)
19.0ms	(/ (* x z) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	331	474
1	1523	437
2	5001	436

prune174.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample550.0ms

Algorithm

intervals

Results

285.0ms

10748×

body

valid