Details

analyze76.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

prune3.0ms

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `associate-r` `pow-exp` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

10.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
6.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series56.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	353	568
1	1336	539
2	5001	524

prune114.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Merged error: 0b

Counts

76 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
3.5b	(exp (log (* 4.0 (* b b))))
21.5b	(log (* 4.0 (* b b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
16×	`add-exp-log`
9×	`add-sqr-sqrt` `pow-prod-down` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `prod-exp` `log-pow`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `rem-log-exp` `associate-l` `cbrt-unprod`
2×	`log-prod`
1×	`pow-to-exp` `pow-pow` `associate-r` `exp-sum` `pow-exp` `*-commutative` `rem-exp-log` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(exp (log (* 4.0 (* b b))))
5.0ms	(log (* 4.0 (* b b)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 4.0 (* b b))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
3.0ms	(exp (log (* 4.0 (* b b))))
13.0ms	(log (* 4.0 (* b b)))

simplify85.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	255	329
1	881	297
2	3636	287
3	5001	282

prune107.0ms

Filtered

47 candidates to 77 candidates (-63.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b	(* 2 (* (pow a 2) (pow b 2)))
3.5b	(* (pow a 2) (pow b 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
27×	`add-sqr-sqrt`
18×	`add-log-exp`
16×	`*-un-lft-identity` `unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l` `add-cbrt-cube`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1` `sum-log`
4×	`cbrt-unprod`
3×	`diff-log`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

7.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
10.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series38.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
12.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	390	833
1	1683	750
2	5002	738

prune178.0ms

Filtered

64 candidates to 120 candidates (-87.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (/ -1 a) (* -2 2.0))
3.5b	(exp (log (* 4.0 (* b b))))
21.5b	(log (* 4.0 (* b b)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
18×	`add-exp-log`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `add-cbrt-cube`
6×	`exp-prod` `prod-exp` `log-pow`
4×	`add-log-exp`
3×	`rem-log-exp` `associate-l` `cbrt-unprod`
2×	`log-prod` `pow-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `div-exp` `associate-r` `exp-sum` `*-commutative` `div-inv` `rem-exp-log` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
4.0ms	(pow (/ -1 a) (* -2 2.0))
5.0ms	(exp (log (* 4.0 (* b b))))
5.0ms	(log (* 4.0 (* b b)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 4.0 (* b b))
23.0ms	(pow (/ -1 a) (* -2 2.0))
3.0ms	(exp (log (* 4.0 (* b b))))
12.0ms	(log (* 4.0 (* b b)))

simplify102.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	322	378
1	1049	339
2	4639	337
3	5002	337

prune117.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes167.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

analyze75.0ms

Algorithm: search

sample509.0ms

Algorithm

intervals

Results

371.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze76.0ms

sample21.0ms

simplify57.0ms

prune3.0ms

localize10.0ms

rewrite27.0ms

series56.0ms

simplify41.0ms

prune114.0ms

localize14.0ms

rewrite21.0ms

series42.0ms

simplify85.0ms

prune107.0ms

localize13.0ms

rewrite35.0ms

series38.0ms

simplify57.0ms

prune178.0ms

localize14.0ms

rewrite22.0ms

series41.0ms

simplify102.0ms

prune117.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze75.0ms

sample509.0ms

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