Details

sample181.0ms

Algorithm

intervals

Results

80.0ms	1739×	body	80	nan
14.0ms	257×	body	80	valid

simplify55.0ms

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

localize15.0ms

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

rewrite285.0ms

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:

55.0ms	(- (+ (log (+ x y)) (log z)) t)
190.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series443.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (+ (log (+ x y)) (log z)) t)
175.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
62.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (53.0ms)

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

prune354.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series693.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt z) (cbrt z))
177.0ms	(cbrt z)
166.0ms	(cbrt z)
165.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune363.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite58.0ms

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:

40.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
12.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series574.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
69.0ms	(+ (log (+ x y)) (log z))
166.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify67.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (57.0ms)

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

prune536.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5)))
0.3b	(* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5))
0.5b	(+ (log (+ x y)) (log z))
5.2b	(pow (/ 1 t) -1/3)

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`unpow-prod-down`
12×	`pow1`
11×	`add-exp-log` `add-log-exp`
9×	`times-frac`
7×	`associate-+l+` `associate-+r+` `log-prod`
6×	`associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `sum-log` `log-pow` `flip--` `distribute-lft-out`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `frac-add` `pow-exp`
3×	`associate-+l-` `pow-unpow` `pow-pow` `flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `log-div` `diff-log` `div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5)))
29.0ms	(* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5))
12.0ms	(+ (log (+ x y)) (log z))
10.0ms	(pow (/ 1 t) -1/3)

series675.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5)))
154.0ms	(* (log (pow (/ 1 t) -1/3)) (- (* 3 a) 1.5))
61.0ms	(+ (log (+ x y)) (log z))
164.0ms	(pow (/ 1 t) -1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	748	1122
1	3107	1028
2	5002	991

prune393.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes433.0ms

Accuracy

0% (0.2b 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	24	15
1	24	15

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	55808×	body	80	nan
422.0ms	8028×	body	80	valid