Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	300×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 10.0 d2) 20.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

28.0ms	(+ (+ 10.0 d2) 20.0)
79.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ 10.0 d2) 20.0)
37.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	177	179
1	791	157
2	4227	156
3	5003	156

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 10.0 d2))
0.1b	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

21.0ms	(* d1 (+ 10.0 d2))
16.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* d1 (+ 10.0 d2))
42.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	215	180
1	973	159
2	5001	157

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
0.3b	(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
0.3b	(* d1 (sqrt (+ 10.0 d2)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 66

Calls

3 calls:

46.0ms	(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
52.0ms	(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
26.0ms	(* d1 (sqrt (+ 10.0 d2)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
34.0ms	(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
62.0ms	(* d1 (sqrt (+ 10.0 d2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	362	549
1	1582	456
2	5001	423

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.1b	(pow (+ 10.0 d2) 3)
2.4b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
17.4b	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
22×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`associate-r`
16×	`frac-add`
15×	`add-cube-cbrt`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `unpow-prod-down` `cube-prod`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

35.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
10.0ms	(pow (+ 10.0 d2) 3)
197.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
135.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
26.0ms	(pow (+ 10.0 d2) 3)
79.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
187.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	905	1575
1	5001	1433

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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	10	3
1	10	3

end0.0ms

sample422.0ms

Algorithm

intervals

Results

210.0ms	9001×	body	80	valid
8.0ms	51×	body	640	valid
6.0ms	53×	body	1280	valid
1.0ms	23×	body	320	valid
1.0ms	17×	body	160	valid