Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify80.0ms

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: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
7.8b	(/ x (* (- y z) (- y t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `associate-r/` `associate-l/` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

3 → 149

Calls

3 calls:

14.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
18.0ms	(* (- y z) (- y t))
7.0ms	(/ x (* (- y z) (- y t)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
28.0ms	(* (- y z) (- y t))
53.0ms	(/ x (* (- y z) (- y t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	739	2495
1	3304	1795
2	5001	1771

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
1.4b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
40.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt x)
174.0ms	(cbrt x)
170.0ms	(cbrt x)
77.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	540	1075
1	2689	884
2	5001	825

prune369.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))

series617.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
141.0ms	(cbrt (- y z))
148.0ms	(cbrt (- y z))
147.0ms	(cbrt (- y z))

simplify168.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	183	382
1	403	364
2	1224	353
3	4908	338
4	5001	338

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
2.2b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
67×	`times-frac`
44×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `fma-neg` `1-exp` `prod-diff`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 176

Calls

4 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
35.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
34.0ms	(/ 1 (- y z))
27.0ms	(/ x (- y t))
131.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	615	1149
1	2764	1014
2	5001	977

prune377.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes156.0ms

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

sample442.0ms

Algorithm

intervals

Results

234.0ms

8445×

body

valid