Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample67.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
16.0ms	168×	body	80	nan

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5545	33

prune24.0ms

Filtered

1 candidates to 1 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: 2.0b

Counts

2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.2b	(/ 2.0 (* t 3.0))
1.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.5b	(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-/r` `associate-/l` `associate--r+`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
4.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series87.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* z (sqrt (+ t a)))
2.0ms	(/ 2.0 (* t 3.0))
52.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms	(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	2272
1	4965	2272

prune225.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	4	112

Merged error: 0.2b

Counts

112 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t)))
0.2b	(* z (sqrt (+ t a)))
1.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t))))
4.5b	(/ (* z (sqrt (+ t a))) t)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`frac-sub`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`flip3--` `flip--`
16×	`frac-times`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
11×	`add-cube-cbrt`
8×	`pow1` `flip3-+` `associate-l` `flip-+`
6×	`add-log-exp`
5×	`sub-neg` `sqrt-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `sqrt-div` `associate-*l/` `associate--l+` `associate--r+`
3×	`prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

20.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t)))
7.0ms	(* z (sqrt (+ t a)))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series100.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t)))
13.0ms	(* z (sqrt (+ t a)))
55.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 0.6666666666666666 t))))
18.0ms	(/ (* z (sqrt (+ t a))) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4985	2951
1	4985	2951

prune257.0ms

Filtered

105 candidates to 131 candidates (-24.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Merged error: 0.2b

Counts

135 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
1.9b	(log (exp (/ 2.0 (* t 3.0))))
3.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.5b	(/ (* z (sqrt (+ t a))) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`log-pow` `frac-sub`
7×	`exp-prod` `flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-/r` `associate-/l*` `associate--r+`
3×	`sub-neg` `log-prod` `div-inv`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 86

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
12.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series74.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 2.0 (* t 3.0))
2.0ms	(log (exp (/ 2.0 (* t 3.0))))
51.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
19.0ms	(/ (* z (sqrt (+ t a))) t)

simplify35.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5035	1665

prune209.0ms

Filtered

79 candidates to 98 candidates (-24.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.2b

Counts

102 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
0.0b	(+ (* c 0.8333333333333334) (* a (- c b)))
0.0b	(* a (- c b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
4.0ms	(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
7.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))
6.0ms	(* a (- c b))

series81.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
38.0ms	(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
8.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))
7.0ms	(* a (- c b))

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4964	1472
1	4964	1472

prune161.0ms

Filtered

74 candidates to 98 candidates (-32.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

regimes749.0ms

Accuracy

0% (3.7b remaining)

Error of 4.0b against oracle of 0.2b and baseline of 4.0b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	286	31
1	286	31

end0.0ms

sample1.9s

Algorithm

intervals

Results

807.0ms	8000×	body	80	valid
518.0ms	5021×	body	80	nan

Details

analyze2.0s

sample67.0ms

simplify33.0ms

prune24.0ms

localize23.0ms

rewrite36.0ms

series87.0ms

simplify56.0ms

prune225.0ms

localize22.0ms

rewrite52.0ms

series100.0ms

simplify59.0ms

prune257.0ms

localize25.0ms

rewrite31.0ms

series74.0ms

simplify35.0ms

prune209.0ms

localize12.0ms

rewrite25.0ms

series81.0ms

simplify52.0ms

prune161.0ms

regimes749.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.9s

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