Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

273×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
9.8b	(/ x (* (- y z) (- t z)))

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

series152.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- t z))
121.0ms	(/ x (* (- y z) (- t z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune153.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.5b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite38.0ms

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×	`rec-exp` `1-exp` `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 → 150

Calls

3 calls:

8.0ms	(/ x (- t z))
5.0ms	(/ 1 (- y z))
19.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ x (- t z))
33.0ms	(/ 1 (- y z))
199.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	518	909
1	2245	798
2	5001	758

prune299.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.5b	(/ (/ x (- t z)) (- y z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

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

series144.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- t z))
117.0ms	(/ (/ x (- t z)) (- y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- y z)))
0.6b	(cbrt (/ 1 (- y z)))
0.7b	(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
1.0b	(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
69×	`cbrt-prod`
68×	`times-frac`
67×	`*-un-lft-identity`
41×	`add-cube-cbrt`
30×	`add-exp-log`
28×	`cbrt-div`
25×	`associate-l`
22×	`associate-r`
18×	`pow1` `frac-times` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
8×	`associate-/r/` `unswap-sqr`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 170

Calls

4 calls:

8.0ms	(cbrt (/ 1 (- y z)))
5.0ms	(cbrt (/ 1 (- y z)))
20.0ms	(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
26.0ms	(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (/ 1 (- y z)))
138.0ms	(cbrt (/ 1 (- y z)))
287.0ms	(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
195.0ms	(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	660	1805
1	2502	1558
2	5002	1458

prune430.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample442.0ms

Algorithm

intervals

Results

238.0ms

8426×

body

valid