Details

analyze1.7s

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

28.0ms	256×	body	80	valid
16.0ms	186×	body	80	nan

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5545	33

prune18.0ms

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: 3.0b

Counts

2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
1.2b	(* z (/ (sqrt (+ t a)) t))
2.5b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
19×	`associate-*r/`
16×	`add-exp-log` `add-cbrt-cube`
14×	`frac-add`
10×	`associate-/l*`
8×	`frac-times` `flip3--` `flip--`
7×	`distribute-lft-out`
6×	`pow1` `frac-sub` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/r*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`sub-neg` `associate-+r+` `frac-2neg` `sqrt-div` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

6.0ms	(/ (sqrt (+ t a)) t)
4.0ms	(/ 2.0 (* t 3.0))
11.0ms	(* z (/ (sqrt (+ t a)) t))
18.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (sqrt (+ t a)) t)
2.0ms	(/ 2.0 (* t 3.0))
19.0ms	(* z (/ (sqrt (+ t a)) t))
53.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4991	2716
1	4991	2716

prune277.0ms

Filtered

106 candidates to 150 candidates (-41.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	148	4	152

Merged error: 0.5b

Counts

152 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
1.2b	(* z (/ (sqrt (+ t a)) t))
3.6b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))
3.8b	(log (exp (/ 2.0 (* t 3.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
29×	`times-frac`
26×	`add-cube-cbrt`
25×	`associate-r`
14×	`add-exp-log` `add-cbrt-cube`
13×	`sqrt-prod`
11×	`associate-*r/`
9×	`log-prod`
8×	`associate-+r+` `frac-add` `log-pow`
7×	`pow1` `exp-prod`
6×	`flip3--` `associate--l+` `flip--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in`
3×	`cbrt-undiv` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `associate-*l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `rem-log-exp` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+`

Counts

4 → 112

Calls

4 calls:

4.0ms	(/ 2.0 (* t 3.0))
10.0ms	(* z (/ (sqrt (+ t a)) t))
14.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 2.0 (* t 3.0))
16.0ms	(* z (/ (sqrt (+ t a)) t))
52.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))
2.0ms	(log (exp (/ 2.0 (* t 3.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5045	1947

prune254.0ms

Filtered

92 candidates to 124 candidates (-34.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0.5b

Counts

128 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

11.0ms	(* a (- c b))
9.0ms	(* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))
4.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* a (- c b))
48.0ms	(* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))
14.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))

simplify65.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4963	822
1	4963	822

prune117.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	72	4	76

Merged error: 0.2b

Counts

76 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

3.3b	(* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))
6.7b	(* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0))))))
8.7b	(+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))))))
28.6b	(/ (+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))))))))) (* t (* t (* 3.0 (- a (/ 5.0 6.0))))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

1904×	`associate-*r/`
477×	`flip3--` `flip--`
356×	`frac-times`
320×	`frac-add`
246×	`sqrt-div`
192×	`frac-sub`
162×	`associate-/l/`
125×	`flip3-+` `flip-+`
114×	`associate-*l/`
84×	`distribute-rgt-in` `distribute-lft-in`
48×	`sub-neg`
37×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
19×	`prod-exp` `cbrt-unprod`
16×	`associate-+l+`
13×	`pow-prod-down`
12×	`associate-+r+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate--l+`
6×	`associate-l` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`times-frac` `associate-/l*`
2×	`associate-r` `associate-/r/` `*-commutative`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv`

Counts

4 → 460

Calls

4 calls:

9.0ms	(* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))
23.0ms	(* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0))))))
32.0ms	(+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))))))
51.0ms	(/ (+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))))))))) (* t (* t (* 3.0 (- a (/ 5.0 6.0))))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))
22.0ms	(* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0))))))
169.0ms	(+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))))))))
259.0ms	(/ (+ (* z (* (sqrt (+ t a)) (* t (* 3.0 (- a (/ 5.0 6.0)))))) (* t (* (- b c) (- (* 2.0 (- a (/ 5.0 6.0))) (* t (* 3.0 (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))))))))) (* t (* t (* 3.0 (- a (/ 5.0 6.0))))))

simplify252.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4999	42007
1	4999	42007

prune10.9s

Filtered

426 candidates to 472 candidates (-10.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	472	4	476

Merged error: 0b

Counts

476 → 4

regimes697.0ms

Accuracy

0.4% (2.6b remaining)

Error of 3.1b against oracle of 0.5b and baseline of 3.1b

bsearch54.0ms

Steps

Iters	Range		Point
7	1.8735777761176666e+296	2.160442103918566e+298	2.104146032475743e+298
7	6.614123689773118e+218	5.440269712245534e+220	2.789491421478102e+219

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	108	60
1	108	60

end0.0ms

sample1.7s

Algorithm

intervals

Results

763.0ms	8000×	body	80	valid
467.0ms	4940×	body	80	nan

Details

analyze1.7s

sample67.0ms

simplify29.0ms

prune18.0ms

localize24.0ms

rewrite44.0ms

series85.0ms

simplify55.0ms

prune277.0ms

localize30.0ms

rewrite37.0ms

series72.0ms

simplify35.0ms

prune254.0ms

localize14.0ms

rewrite27.0ms

series76.0ms

simplify65.0ms

prune117.0ms

localize35.0ms

rewrite197.0ms

series461.0ms

simplify252.0ms

prune10.9s

regimes697.0ms

bsearch54.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling