Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

392×

body

valid

simplify99.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

15.0ms	(+ (- d2 d3) (- d4 d1))
20.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (- d2 d3) (- d4 d1))
51.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

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

prune113.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
5.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.0ms	(- (* d1 d2) (* d1 d3))

series123.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
34.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
37.0ms	(- (* d1 d2) (* d1 d3))

simplify43.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (36.0ms)

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

prune111.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (log (- (* d1 d2) (* d1 d3)))) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))
2.4b	(exp (log (- (* d1 d2) (* d1 d3))))
4.8b	(log (- (* d1 d2) (* d1 d3)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`add-exp-log`
4×	`log-div` `exp-prod` `exp-sum` `add-cbrt-cube`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 57

Calls

4 calls:

7.0ms	(+ (exp (log (- (* d1 d2) (* d1 d3)))) (* d4 d1))
3.0ms	(- (* d1 d2) (* d1 d3))
5.0ms	(exp (log (- (* d1 d2) (* d1 d3))))
3.0ms	(log (- (* d1 d2) (* d1 d3)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp (log (- (* d1 d2) (* d1 d3)))) (* d4 d1))
37.0ms	(- (* d1 d2) (* d1 d3))
35.0ms	(exp (log (- (* d1 d2) (* d1 d3))))
64.0ms	(log (- (* d1 d2) (* d1 d3)))

simplify89.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	247	452
1	876	382
2	3556	358
3	5002	349

prune164.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize8.0ms

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))))

rewrite41.0ms

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:

9.0ms	(+ (- d2 d3) (- d4 d1))
13.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
15.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

series246.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (- d2 d3) (- d4 d1))
135.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
82.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

simplify66.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

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

prune202.0ms

Filtered

102 candidates to 68 candidates (66.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

regimes103.0ms

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	4
1	10	4

end0.0ms

sample677.0ms

Algorithm

intervals

Results

391.0ms

11907×

body

valid