Details

sample141.0ms

Algorithm

intervals

Results

45.0ms	849×	body	80	nan
17.0ms	297×	body	80	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite631.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

33.0ms	(+ (+ (* x (log y)) z) t)
562.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
24.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series352.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (+ (* x (log y)) z) t)
221.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
53.0ms	(* (- b 0.5) (log c))
35.0ms	(* x (log y))

simplify64.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	617	865
1	2560	804
2	5003	793

prune386.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-log-exp`
22×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-r`
15×	`pow1` `sum-log`
12×	`sqrt-prod`
11×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`associate-+r+` `associate-*l/`
4×	`frac-add`
3×	`flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `associate-+l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

2.1s	(+ (+ (+ (+ (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z) t) a) (* (- b 0.5) (log c)))
23.0ms	(* (- b 0.5) (log c))
11.0ms	(* x (log (sqrt y)))
14.0ms	(* x (log (sqrt y)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(+ (+ (+ (+ (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z) t) a) (* (- b 0.5) (log c)))
56.0ms	(* (- b 0.5) (log c))
76.0ms	(* x (log (sqrt y)))
83.0ms	(* x (log (sqrt y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	645	1324
1	2554	1201
2	5002	1180

prune496.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt (sqrt y))))
0.3b	(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

72×	`log-prod`
60×	`cbrt-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`add-sqr-sqrt` `associate-+l+`
34×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-prod`
18×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

11.0ms	(* x (log (cbrt (sqrt y))))
33.0ms	(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
1.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series521.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (log (cbrt (sqrt y))))
118.0ms	(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
146.0ms	(cbrt (sqrt y))
147.0ms	(cbrt (sqrt y))

simplify58.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	453	1216
1	1668	1083
2	5001	993

prune811.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (cbrt (sqrt y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (cbrt (sqrt y)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (sqrt y))
146.0ms	(cbrt (sqrt y))
142.0ms	(cbrt (sqrt y))
140.0ms	(cbrt (cbrt (sqrt y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	135	374
1	359	348
2	1614	328
3	5001	324

prune539.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes601.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	33
1	51	33

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.4s	27917×	body	80	nan
541.0ms	9220×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid