Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	291×	body	80	valid
12.0ms	301×	body	80	nan

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series231.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune302.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series543.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* z (* 2 (log (cbrt t))))
89.0ms	(* z (log (cbrt t)))
182.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify39.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	292	642
1	1160	565
2	5001	541

prune370.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))

series834.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt t)
177.0ms	(cbrt t)
250.0ms	(cbrt (cbrt t))
234.0ms	(cbrt (cbrt t))

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	226
1	141	210
2	357	202
3	1377	202
4	5001	202

prune547.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (pow (/ 1 t) -1/3)))
0.6b	(cbrt t)
5.0b	(pow (/ 1 t) -1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

58×	`log-prod`
42×	`add-sqr-sqrt`
41×	`distribute-rgt-in` `distribute-lft-in`
40×	`add-cube-cbrt` `*-un-lft-identity`
39×	`unpow-prod-down`
27×	`times-frac`
16×	`add-exp-log`
15×	`cbrt-prod`
13×	`pow1`
11×	`add-cbrt-cube`
6×	`associate-l`
5×	`associate-r`
4×	`pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-inv` `sqr-pow`
2×	`div-exp` `*-commutative`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `inv-pow` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
8.0ms	(* z (log (pow (/ 1 t) -1/3)))
1.0ms	(cbrt t)
5.0ms	(pow (/ 1 t) -1/3)

series522.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* z (* 2 (log (cbrt t))))
79.0ms	(* z (log (pow (/ 1 t) -1/3)))
182.0ms	(cbrt t)
164.0ms	(pow (/ 1 t) -1/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	564	1041
1	2335	897
2	5001	820

prune458.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes443.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	21
1	36	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

438.0ms	9131×	body	80	valid
385.0ms	9419×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid