Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	309×	body	80	valid
11.0ms	282×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

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:

18.0ms	(* (- a 0.5) b)
249.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
77.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
160.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
53.0ms	(- (+ (+ x y) z) (* z (log t)))
57.0ms	(* z (log t))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune290.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
24×	`frac-add`
15×	`*-un-lft-identity` `sum-log`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
4×	`diff-log` `associate-r`
3×	`associate-+l+` `associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+l-` `sub-neg`
1×	`associate-+r-` `associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
34.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
132.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
43.0ms	(* z (log t))
45.0ms	(- z (* z (log t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	790	1384
1	3984	1340
2	5001	1338

prune392.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series752.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt t) (cbrt t))
177.0ms	(cbrt t)
179.0ms	(cbrt t)
187.0ms	(cbrt t)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune356.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(* (cbrt (log t)) (cbrt (log t)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
6.0ms	(* (cbrt (log t)) (cbrt (log t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (log t))
270.0ms	(cbrt (log t))
278.0ms	(cbrt (log t))
452.0ms	(* (cbrt (log t)) (cbrt (log t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	121	487
1	438	416
2	2989	358
3	5001	351

prune270.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes450.0ms

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	26	15
1	26	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

441.0ms	9205×	body	80	valid
382.0ms	9266×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid