Details

sample61.0ms

Algorithm

intervals

Results

43.0ms

712×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
11.0ms	(* (* b b) (+ 3.0 a))

series296.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms	(* (* a a) (- 1.0 a))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (+ 3.0 a))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	506	651
1	2520	583
2	5001	583

prune209.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.3b	(* (pow a 2) (pow b 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
23×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`unpow2` `sqr-pow`
9×	`associate-r` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`

Counts

2 → 76

Calls

2 calls:

7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* 2 (* (pow a 2) (pow b 2)))
30.0ms	(* (pow a 2) (pow b 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	229	438
1	1064	329
2	5002	318

prune119.0ms

Filtered

82 candidates to 37 candidates (45.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))
2.9b	(exp (log (* (* b b) (+ 3.0 a))))
23.2b	(log (* (* b b) (+ 3.0 a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
16×	`add-exp-log`
10×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow-prod-down` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`exp-prod` `associate-*r/` `prod-exp` `log-pow`
4×	`log-div` `associate-r` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3-+` `rem-log-exp` `cbrt-unprod` `flip-+`
2×	`log-prod` `exp-diff`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `associate-l` `exp-sum` `pow-exp` `*-commutative` `rem-exp-log` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
7.0ms	(exp (log (* (* b b) (+ 3.0 a))))
7.0ms	(log (* (* b b) (+ 3.0 a)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (+ 3.0 a))
36.0ms	(exp (log (* (* b b) (+ 3.0 a))))
75.0ms	(log (* (* b b) (+ 3.0 a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	382	451
1	1718	409
2	5001	406

prune220.0ms

Filtered

86 candidates to 56 candidates (65.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (/ 1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (/ 1 a) -4.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`pow1`
14×	`add-cube-cbrt` `add-cbrt-cube`
13×	`unpow-prod-down`
9×	`times-frac` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `pow-exp`
3×	`pow-unpow` `pow-pow`
2×	`sub-neg` `associate-+r+` `flip3-+` `div-exp` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `rec-exp` `flip3--` `pow-flip` `1-exp` `sum-log` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

10.0ms	(+ (pow (/ 1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (/ 1 a) -4.0)
8.0ms	(* (* b b) (+ 3.0 a))

series348.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (pow (/ 1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms	(* (* a a) (- 1.0 a))
171.0ms	(pow (/ 1 a) -4.0)
52.0ms	(* (* b b) (+ 3.0 a))

simplify76.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	602	656
1	2812	582
2	5001	579

prune210.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	108	5	113

Merged error: 0b

Counts

113 → 5

regimes128.0ms

Accuracy

74.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.3b

bsearch89.0ms

Steps

Iters	Range		Point
9	-2315874.671934796	-14.519914462167517	-120102.64415358429

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	25
1	45	25

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

20592×

body

valid

Details

sample61.0ms

simplify73.0ms

prune3.0ms

localize15.0ms

rewrite33.0ms

series296.0ms

simplify68.0ms

prune209.0ms

localize13.0ms

rewrite17.0ms

series69.0ms

simplify36.0ms

prune119.0ms

localize19.0ms

rewrite29.0ms

series249.0ms

simplify49.0ms

prune220.0ms

localize16.0ms

rewrite36.0ms

series348.0ms

simplify76.0ms

prune210.0ms

regimes128.0ms

bsearch89.0ms

simplify2.0ms

end0.0ms

sample1.7s

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