Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

267×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.9b	(/ 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)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y t) (- y z))
8.9b	(/ x (* (- y t) (- y z)))

rewrite29.0ms

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:

12.0ms	(* (- y t) (- y z))
14.0ms	(/ x (* (- y t) (- y z)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- y t) (- y z))
55.0ms	(/ x (* (- y t) (- y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	390	703
1	1859	534
2	5001	534

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
26.2b	(cbrt (* (- y z) (- y t)))
26.2b	(cbrt (* (- y z) (- y t)))
26.2b	(cbrt (* (- y z) (- y t)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 810

Calls

4 calls:

71.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
7.0ms	(cbrt (* (- y z) (- y t)))
7.0ms	(cbrt (* (- y z) (- y t)))
7.0ms	(cbrt (* (- y z) (- y t)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
179.0ms	(cbrt (* (- y z) (- y t)))
181.0ms	(cbrt (* (- y z) (- y t)))
184.0ms	(cbrt (* (- y z) (- y t)))

simplify232.0ms

Algorithm

egg-herbie

Counts

822 → 822

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	3384	17766
1	4710	17636
2	5001	17599

prune5.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y t))
0.0b	(/ 1 (- y z))
1.9b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 156

Calls

3 calls:

5.0ms	(/ x (- y t))
6.0ms	(/ 1 (- y z))
24.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ x (- y t))
38.0ms	(/ 1 (- y z))
129.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	532	932
1	2297	821
2	5001	789

prune335.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample445.0ms

Algorithm

intervals

Results

244.0ms

8415×

body

valid