Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

378×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

11.0ms

(* d1 (+ (- d2 d3) (- d4 d1)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* d1 (+ (- d2 d3) (- d4 d1)))

simplify44.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	298	214
1	1486	191
2	5003	191

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(* d1 (- d2 d3))
0.0b	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

6.0ms	(* d1 (- d4 d1))
6.0ms	(* d1 (- d2 d3))
7.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* d1 (- d4 d1))
38.0ms	(* d1 (- d2 d3))
52.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	407	422
1	2021	395
2	5001	395

prune166.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- d3) (- d4 d1))
0.0b	(+ (* d1 d2) (* d1 (+ (- d3) (- d4 d1))))
0.0b	(* d1 (+ (- d3) (- d4 d1)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-log-exp`
9×	`distribute-lft-out`
7×	`add-sqr-sqrt` `associate-r`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sum-log` `add-cbrt-cube`
4×	`associate-+r+` `distribute-rgt-neg-in` `distribute-lft-out--`
3×	`flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-*r/` `neg-log`
1×	`neg-sub0` `associate-+l-` `associate-+r-` `sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

8.0ms	(+ (- d3) (- d4 d1))
4.0ms	(+ (* d1 d2) (* d1 (+ (- d3) (- d4 d1))))
10.0ms	(* d1 (+ (- d3) (- d4 d1)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (- d3) (- d4 d1))
55.0ms	(+ (* d1 d2) (* d1 (+ (- d3) (- d4 d1))))
27.0ms	(* d1 (+ (- d3) (- d4 d1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	302	386
1	1316	331
2	5003	321

prune142.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(+ (* (sqrt d1) (* (sqrt d1) (- d2 d3))) (* d1 (- d4 d1)))
0.1b	(* (sqrt d1) (- d2 d3))
0.2b	(* (sqrt d1) (* (sqrt d1) (- d2 d3)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
21×	`add-sqr-sqrt`
20×	`associate-*r/`
15×	`-un-lft-identity` `associate-l*`
14×	`sub-neg`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `associate-r`
8×	`associate-+l+`
7×	`flip3--` `sqrt-prod` `flip--`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+r+` `frac-add`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 114

Calls

4 calls:

6.0ms	(* d1 (- d4 d1))
11.0ms	(+ (* (sqrt d1) (* (sqrt d1) (- d2 d3))) (* d1 (- d4 d1)))
7.0ms	(* (sqrt d1) (- d2 d3))
9.0ms	(* (sqrt d1) (* (sqrt d1) (- d2 d3)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* d1 (- d4 d1))
83.0ms	(+ (* (sqrt d1) (* (sqrt d1) (- d2 d3))) (* d1 (- d4 d1)))
71.0ms	(* (sqrt d1) (- d2 d3))
45.0ms	(* (sqrt d1) (* (sqrt d1) (- d2 d3)))

simplify84.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	553	746
1	2803	644
2	5001	635

prune250.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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	14	6
1	14	6

end0.0ms

sample667.0ms

Algorithm

intervals

Results

381.0ms

11900×

body

valid