Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

361×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* (- y z) (- t x)))
37.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
2.8b	(- (* y y) (* z z))
7.1b	(* (- (* y y) (* z z)) (- t x))
20.3b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
4.0ms	(- (* y y) (* z z))
9.0ms	(* (- (* y y) (* z z)) (- t x))
13.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series276.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
35.0ms	(- (* y y) (* z z))
45.0ms	(* (- (* y y) (* z z)) (- t x))
63.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	511	877
1	2627	791
2	5002	783

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3--` `flip--`
32×	`frac-times`
18×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
16×	`associate-r/` `associate-l*`
14×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `sub-neg` `associate-*l/` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-+r+`
6×	`associate-r`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 114

Calls

3 calls:

4.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
10.0ms	(* (sqrt (- y z)) (- t x))
16.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
143.0ms	(* (sqrt (- y z)) (- t x))
39.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	516	1099
1	2038	977
2	5001	977

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- t x))
0.0b	(sqrt (- t x))
0.1b	(* (- y z) (sqrt (- t x)))
0.2b	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
6×	`associate-l`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

3.0ms	(sqrt (- t x))
3.0ms	(sqrt (- t x))
14.0ms	(* (- y z) (sqrt (- t x)))
16.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- t x))
69.0ms	(sqrt (- t x))
88.0ms	(* (- y z) (sqrt (- t x)))
35.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	466	1059
1	1699	941
2	5003	929

prune324.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes312.0ms

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	10	4
1	10	4

end0.0ms

sample586.0ms

Algorithm

intervals

Results

291.0ms

12115×

body

valid