Details

sample200.0ms

Algorithm

intervals

Results

88.0ms	2039×	body	80	nan
13.0ms	257×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

53.0ms	(- (+ (log (+ x y)) (log z)) t)
22.0ms	(* (- a 0.5) (log t))
182.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
12.0ms	(+ (log (+ x y)) (log z))

series514.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (+ (log (+ x y)) (log z)) t)
62.0ms	(* (- a 0.5) (log t))
210.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
74.0ms	(+ (log (+ x y)) (log z))

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune350.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

35.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
11.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series593.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
77.0ms	(+ (log (+ x y)) (log z))
174.0ms	(cbrt t)
171.0ms	(cbrt t)

simplify91.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune548.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(cbrt (* (cbrt t) (cbrt t)))

series840.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
197.0ms	(cbrt t)
185.0ms	(cbrt t)
277.0ms	(cbrt (* (cbrt t) (cbrt t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	78	180
1	168	162
2	559	152
3	2334	152
4	5003	149

prune340.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(cbrt (* (cbrt t) (cbrt t)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt t)
193.0ms	(cbrt t)
184.0ms	(cbrt t)
274.0ms	(cbrt (* (cbrt t) (cbrt t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	78	180
1	168	162
2	559	152
3	2334	152
4	5003	149

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes486.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.5s	55923×	body	80	nan
443.0ms	8039×	body	80	valid