Details

sample188.0ms

Algorithm

intervals

Results

82.0ms	1781×	body	80	nan
16.0ms	260×	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: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite282.0ms

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:

54.0ms	(- (+ (log (+ x y)) (log z)) t)
188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
24.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series442.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (+ (log (+ x y)) (log z)) t)
176.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
49.0ms	(* (- a 0.5) (log t))
66.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

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

prune359.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

8.0ms	(- (log z) t)
39.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
85.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
22.0ms	(* (- a 0.5) (log t))

series362.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (log z) t)
80.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
178.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
51.0ms	(* (- a 0.5) (log t))

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5002	845

prune360.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
40×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
24×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
16×	`distribute-lft-out`
13×	`associate-+r+`
12×	`sum-log`
10×	`pow1`
8×	`associate-*l/`
6×	`log-pow`
4×	`add-exp-log` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`associate-+l-` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`
1×	`associate-+r-`

Counts

4 → 105

Calls

4 calls:

198.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))))
38.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series821.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))))
154.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
162.0ms	(cbrt t)
167.0ms	(cbrt t)

simplify76.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	691	1350
1	2772	1115
2	5002	1091

prune547.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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) (cbrt t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 45

Calls

4 calls:

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

series820.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt t)
168.0ms	(cbrt t)
231.0ms	(cbrt (cbrt t))
253.0ms	(cbrt (* (cbrt t) (cbrt t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (102.0ms)

Iter	Nodes	Cost
0	106	215
1	236	195
2	753	185
3	3141	185
4	5001	180

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes511.0ms

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

2.6s	56143×	body	80	nan
452.0ms	8041×	body	80	valid