Details

sample73.0ms

Algorithm

intervals

Results

19.0ms	288×	body	80	valid
18.0ms	305×	body	80	nan
0.0ms	1×	body	640	valid

simplify47.0ms

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

localize15.0ms

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)))
0.2b	(* z (log t))

rewrite359.0ms

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:

261.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
82.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series224.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
31.0ms	(* (- a 0.5) b)
33.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify73.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (64.0ms)

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

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.2b	(* (log (sqrt t)) z)
0.2b	(* z (log (sqrt t)))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

340.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
80.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
44.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
114.0ms	(* (log (sqrt t)) z)
83.0ms	(* z (log (sqrt t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	425	907
1	1943	795
2	5003	766

prune352.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
13.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series531.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (log (cbrt t)))
98.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
170.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	346	729
1	1432	634
2	5001	547

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (* 1 (pow t 1/3))))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (* 1 (pow t 1/3)))))
0.5b	(cbrt t)
5.1b	(pow t 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
26×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

9.0ms	(* z (log (* 1 (pow t 1/3))))
15.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (* 1 (pow t 1/3)))))
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series585.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* z (log (* 1 (pow t 1/3))))
144.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (* 1 (pow t 1/3)))))
180.0ms	(cbrt t)
175.0ms	(pow t 1/3)

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	383	634
1	1727	493
2	5001	438

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes457.0ms

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	22	13
1	22	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

442.0ms	9125×	body	80	valid
356.0ms	9133×	body	80	nan
0.0ms	2×	body	640	valid