Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

373×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

60.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
2.0ms	(- (* d1 d2) (* d1 d3))
11.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series124.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms	(- (* d1 d2) (* d1 d3))
36.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify40.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	256	378
1	1060	326
2	5001	293

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

19.0ms	(+ (- d2 d3) (- d4 d1))
59.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (- d2 d3) (- d4 d1))
49.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	391	410
1	1841	378
2	5002	378

prune128.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (* d1 (+ (- d2 d3) d4)) 3)) (* d1 d1))
0.0b	(* d1 (+ (- d2 d3) d4))
0.4b	(pow (* d1 (+ (- d2 d3) d4)) 3)
29.3b	(cbrt (pow (* d1 (+ (- d2 d3) d4)) 3))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `difference-of-squares` `sqr-pow`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt`
1×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `distribute-lft-in` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

13.0ms	(- (cbrt (pow (* d1 (+ (- d2 d3) d4)) 3)) (* d1 d1))
37.0ms	(* d1 (+ (- d2 d3) d4))
14.0ms	(pow (* d1 (+ (- d2 d3) d4)) 3)
3.0ms	(cbrt (pow (* d1 (+ (- d2 d3) d4)) 3))

series388.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (cbrt (pow (* d1 (+ (- d2 d3) d4)) 3)) (* d1 d1))
32.0ms	(* d1 (+ (- d2 d3) d4))
205.0ms	(pow (* d1 (+ (- d2 d3) d4)) 3)
56.0ms	(cbrt (pow (* d1 (+ (- d2 d3) d4)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	381	593
1	1876	518
2	5003	512

prune217.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

18.0ms	(+ (- d2 d3) (- d4 d1))
60.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
57.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

series248.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (- d2 d3) (- d4 d1))
136.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
82.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	535	766
1	2576	682
2	5002	682

prune218.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes102.0ms

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

sample1.0s

Algorithm

intervals

Results

738.0ms

11882×

body

valid