Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

270×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	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)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- y z) (- y t))
60.0ms	(/ x (* (- y z) (- y t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune180.0ms

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)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`times-frac`
35×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
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×	`expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 143

Calls

3 calls:

10.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
11.0ms	(/ (* (- y z) (- y t)) x)

series205.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- y z) (- y t))
127.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
48.0ms	(/ (* (- y z) (- y t)) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	617	1160
1	3382	930
2	5001	893

prune287.0ms

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)))

rewrite101.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 660

Calls

3 calls:

6.0ms	(/ x (- y t))
26.0ms	(/ 1 (/ (- y z) (/ x (- y t))))
13.0ms	(/ (- y z) (/ x (- y t)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (- y t))
130.0ms	(/ 1 (/ (- y z) (/ x (- y t))))
59.0ms	(/ (- y z) (/ x (- y t)))

simplify110.0ms

Algorithm

egg-herbie

Counts

669 → 669

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1874	7902
1	5001	7523

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)))

rewrite31.0ms

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` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num` `associate-/l*`
1×	`associate-/r/`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(/ (* (- y z) (- y t)) (cbrt x))
13.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series781.0ms

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt x)
182.0ms	(cbrt x)
143.0ms	(/ (* (- y z) (- y t)) (cbrt x))
84.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	535	938
1	2770	779
2	5001	742

prune350.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

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

sample445.0ms

Algorithm

intervals

Results

240.0ms

8451×

body

valid