Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
12.0ms	288×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.3b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

17.0ms	(* 6.0 (- x 1.0))
21.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
27.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 6.0 (- x 1.0))
38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
91.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	377	495
1	1642	421
2	5001	420

prune138.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
49.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series183.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
68.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
76.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	439	987
1	1809	895
2	5003	893

prune205.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.5b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`add-log-exp`
7×	`pow1` `cbrt-undiv`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `sum-log` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

10.0ms	(* 6.0 (- x 1.0))
13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
25.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
38.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 6.0 (- x 1.0))
38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
77.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	558	1339
1	2668	1170
2	5001	1122

prune243.0ms

Filtered

140 candidates to 84 candidates (60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
4.7b	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
8.2b	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
16.1b	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

48×	`frac-add`
45×	`pow1`
42×	`frac-times`
41×	`flip3-+` `flip-+`
32×	`associate-*r/`
30×	`add-exp-log` `add-cbrt-cube`
25×	`flip3--` `flip--`
18×	`pow-prod-down`
15×	`*-un-lft-identity`
13×	`associate-*l/` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
10×	`times-frac`
9×	`add-cube-cbrt` `add-log-exp`
5×	`associate-/r*`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-/r/` `pow-sqr` `pow-prod-up`
3×	`sum-cubes` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `pow-plus` `sum-log` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `pow2` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `associate-/l*` `unswap-sqr`

Counts

4 → 165

Calls

4 calls:

17.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
49.0ms	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
49.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
324.0ms	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
83.0ms	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
72.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
171.0ms	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1511	5265
1	5001	4860

prune588.0ms

Filtered

177 candidates to 120 candidates (67.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample612.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
203.0ms	8031×	body	80	nan