Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

270×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.2b	(/ x (* (- y z) (- y t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
61.0ms	(/ x (* (- y z) (- y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.6b	(/ 1 (/ (* (- y z) (- y t)) x))
9.0b	(/ (* (- y z) (- y t)) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`flip3--` `flip--`
10×	`associate-/r*`
8×	`frac-times` `associate-/l/`
7×	`cbrt-undiv`
6×	`pow1` `div-inv`
5×	`associate-r` `associate-l` `prod-exp`
4×	`associate-r/` `associate-l/` `associate-/l*`
3×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 119

Calls

3 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
10.0ms	(/ (* (- y z) (- y t)) x)

series217.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- y z) (- y t))
127.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
64.0ms	(/ (* (- y z) (- y t)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	530	854
1	2893	750
2	5001	713

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y t))
0.6b	(/ 1 (/ (- y z) (/ x (- y t))))
1.8b	(/ (- y z) (/ x (- y t)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1260×	`times-frac`
844×	`add-sqr-sqrt` `*-un-lft-identity`
468×	`add-cube-cbrt`
188×	`distribute-lft-out--` `difference-of-squares`
136×	`associate-/r*`
60×	`associate-/r/`
33×	`div-inv`
31×	`add-exp-log`
28×	`flip3--` `flip--`
19×	`div-exp` `add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 654

Calls

3 calls:

5.0ms	(/ x (- y t))
25.0ms	(/ 1 (/ (- y z) (/ x (- y t))))
12.0ms	(/ (- y z) (/ x (- y t)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (- y t))
127.0ms	(/ 1 (/ (- y z) (/ x (- y t))))
55.0ms	(/ (- y z) (/ x (- y t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1863	7905
1	5001	7526

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.0b	(/ (* (- y z) (- y t)) (cbrt x))
5.3b	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`times-frac`
18×	`cbrt-prod` `add-cbrt-cube`
16×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-/r`
12×	`cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`pow1` `frac-times` `div-inv` `add-log-exp`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num` `associate-/l*`
1×	`associate-/r/`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (* (- y z) (- y t)) (cbrt x))
12.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt x)
378.0ms	(cbrt x)
135.0ms	(/ (* (- y z) (- y t)) (cbrt x))
83.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	520	905
1	2710	745
2	5002	710

prune312.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample450.0ms

Algorithm

intervals

Results

250.0ms

8451×

body

valid