Details

sample77.0ms

Algorithm

intervals

Results

27.0ms	291×	body	80	valid
24.0ms	299×	body	80	nan

simplify50.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite387.0ms

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:

284.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
14.0ms	(* (- a 0.5) b)
83.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series246.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
28.0ms	(* (- a 0.5) b)
34.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify97.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (86.0ms)

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

prune475.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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

series554.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (log (cbrt t)))
102.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
180.0ms	(cbrt t)
180.0ms	(cbrt t)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune488.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow t 1/3)) z)
0.3b	(+ (* z (* 2 (log (cbrt t)))) (pow (* (log (pow t 1/3)) z) 1))
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`unpow-prod-down` `pow-unpow` `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-+` `unswap-sqr` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

3.0ms	(* (log (pow t 1/3)) z)
12.0ms	(+ (* z (* 2 (log (cbrt t)))) (pow (* (log (pow t 1/3)) z) 1))
1.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series601.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (log (pow t 1/3)) z)
136.0ms	(+ (* z (* 2 (log (cbrt t)))) (pow (* (log (pow t 1/3)) z) 1))
184.0ms	(cbrt t)
177.0ms	(pow t 1/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	359	583
1	1472	457
2	5002	383

prune474.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series714.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
174.0ms	(cbrt t)
178.0ms	(cbrt t)
182.0ms	(cbrt t)

simplify124.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune315.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes410.0ms

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	35	15
1	35	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

883.0ms	9189×	body	80	valid
706.0ms	9321×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid