Details

sample167.0ms

Algorithm

intervals

Results

84.0ms	1738×	body	80	nan
15.0ms	260×	body	80	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
15.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series481.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
74.0ms	(+ (log (+ x y)) (log z))

simplify76.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237

prune501.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
9×	`pow1`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`fma-def` `log-pow`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 111

Calls

4 calls:

17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))

series577.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
171.0ms	(cbrt t)
171.0ms	(cbrt t)
68.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	653	918
1	2378	778
2	5003	742

prune642.0ms

Filtered

123 candidates to 110 candidates (89.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.2b	(pow (/ 1 t) -1/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
46×	`*-un-lft-identity`
41×	`distribute-rgt-in` `distribute-lft-in`
40×	`add-sqr-sqrt` `add-cube-cbrt`
39×	`unpow-prod-down`
37×	`associate-+r+`
28×	`associate-+l+`
27×	`times-frac`
15×	`cbrt-prod`
11×	`pow1`
9×	`add-exp-log`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`fma-def` `log-pow`
4×	`expm1-log1p-u` `flip3--` `frac-add` `pow-exp` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `div-inv` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `div-exp` `sum-log`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `inv-pow`

Counts

4 → 154

Calls

4 calls:

17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))
5.0ms	(pow (/ 1 t) -1/3)

series736.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
180.0ms	(cbrt t)
72.0ms	(+ (log (+ x y)) (log z))
173.0ms	(pow (/ 1 t) -1/3)

simplify97.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	988	1345
1	3676	1184
2	5001	1169

prune879.0ms

Filtered

166 candidates to 134 candidates (80.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.6b	(cbrt (* (cbrt t) (cbrt t)))
0.6b	(+ (log (+ x y)) (log z))
5.2b	(pow t 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`cbrt-prod` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
4.0ms	(cbrt (* (cbrt t) (cbrt t)))
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series693.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
270.0ms	(cbrt (* (cbrt t) (cbrt t)))
73.0ms	(+ (log (+ x y)) (log z))
173.0ms	(pow t 1/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	293	339
1	748	298
2	2530	288
3	5001	282

prune516.0ms

Filtered

86 candidates to 68 candidates (79.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes581.0ms

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	34	17
1	34	17

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	56718×	body	80	nan
461.0ms	8032×	body	80	valid