Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

278×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	52	5
3	80	5
4	108	5
5	157	5
6	589	5
7	4617	5
8	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
11.9b	(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
7.0ms	(/ (- x (* y z)) (- t (* a z)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- t (* a z))
28.0ms	(- x (* y z))
57.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	251	407
1	852	375
2	3301	375
3	5001	375

prune175.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.6b	(/ 1 (- t (* a z)))
11.6b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `flip--`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
4.0ms	(/ 1 (- t (* a z)))
16.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- t (* a z))
28.0ms	(- x (* y z))
52.0ms	(/ 1 (- t (* a z)))
55.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	333	667
1	1483	587
2	5002	561

prune441.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(+ x (- (* y z)))
0.6b	(/ 1 (- t (* a z)))
11.6b	(* (+ x (- (* y z))) (/ 1 (- t (* a z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
10×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`flip3--` `flip3-+` `associate-/r` `flip--` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `unsub-neg` `pow-prod-down` `neg-log` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

2.0ms	(- t (* a z))
3.0ms	(+ x (- (* y z)))
4.0ms	(/ 1 (- t (* a z)))
22.0ms	(* (+ x (- (* y z))) (/ 1 (- t (* a z))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- t (* a z))
28.0ms	(+ x (- (* y z)))
53.0ms	(/ 1 (- t (* a z)))
58.0ms	(* (+ x (- (* y z))) (/ 1 (- t (* a z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	356	733
1	1772	623
2	5001	595

prune276.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.4b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.8b	(/ (- t (* a z)) (- x (* y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

4 → 140

Calls

4 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
13.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.0ms	(/ (- t (* a z)) (- x (* y z)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- t (* a z))
28.0ms	(- x (* y z))
209.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
54.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	497	1437
1	2245	1305
2	5001	1219

prune286.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 11.9b

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample518.0ms

Algorithm

intervals

Results

256.0ms

8732×

body

valid