Details

sample143.0ms

Algorithm

intervals

Results

48.0ms	960×	body	80	nan
18.0ms	295×	body	80	valid

simplify68.0ms

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

prune4.0ms

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) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
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--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

2.2s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
552.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
24.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series903.0ms

Counts

4 → 12

Calls

4 calls:

557.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
250.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
59.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954

prune397.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`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 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
27.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series550.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
178.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune599.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 221

Calls

4 calls:

39.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
45.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series635.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
187.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
182.0ms	(cbrt y)
182.0ms	(pow (/ 1 y) -1/3)

simplify105.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	983	2101
1	2900	1914
2	5002	1811

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (sqrt (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(* x (log (sqrt (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series648.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* x (log (sqrt (cbrt y))))
181.0ms	(cbrt y)
178.0ms	(cbrt y)
180.0ms	(pow (/ 1 y) -1/3)

simplify122.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	335	542
1	1152	487
2	4345	470
3	5002	445

prune518.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes580.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	17
1	36	17

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	27776×	body	80	nan
532.0ms	9252×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid