Details

sample320.0ms

Algorithm

intervals

Results

209.0ms	1944×	body	80	nan
34.0ms	257×	body	80	valid

simplify58.0ms

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

localize14.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite156.0ms

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:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
105.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series486.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series729.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
174.0ms	(cbrt z)
179.0ms	(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

prune382.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
0.6b	(* (log (+ x y)) (log (+ x y)))
0.8b	(pow (log (+ x y)) 3)
0.8b	(pow (log z) 3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
39×	`pow1`
26×	`log-pow`
24×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
8×	`add-exp-log` `log-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `pow-prod-down` `prod-exp` `sum-log` `pow-sqr` `sum-cubes` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

22.0ms	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
8.0ms	(* (log (+ x y)) (log (+ x y)))
2.0ms	(pow (log (+ x y)) 3)
2.0ms	(pow (log z) 3)

series900.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
164.0ms	(* (log (+ x y)) (log (+ x y)))
303.0ms	(pow (log (+ x y)) 3)
172.0ms	(pow (log z) 3)

simplify80.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	400	707
1	2078	627
2	5001	597

prune410.0ms

Pruning

11 alts after pruning (9 fresh and 2 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))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite30.0ms

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:

18.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))

series594.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
180.0ms	(cbrt t)
174.0ms	(cbrt t)
73.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

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

prune515.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes450.0ms

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	33	24
1	33	24

end0.0ms

sample9.0s

Algorithm

intervals

Results

5.9s	54921×	body	80	nan
1.0s	8032×	body	80	valid