Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	71×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune16.0ms

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `flip3-+` `associate-*r/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

12.0ms

(* (/ 2.0 t) (+ (/ 1 z) 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (/ 2.0 t) (+ (/ 1 z) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4997	468
1	4997	468

prune79.0ms

Filtered

33 candidates to 43 candidates (-30.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Merged error: 0b

Counts

45 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
8.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `clear-num` `associate-/r` `-commutative` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 47

Calls

2 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
9.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify34.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5482	617

prune70.0ms

Filtered

37 candidates to 53 candidates (-43.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ 1 z) 1.0))
0.0b	(sqrt (+ (/ 1 z) 1.0))
0.1b	(* (* 2.0 (/ (sqrt (+ (/ 1 z) 1.0)) t)) (sqrt (+ (/ 1 z) 1.0)))
0.1b	(/ (sqrt (+ (/ 1 z) 1.0)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
35×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out`
11×	`pow1`
10×	`sqrt-div`
8×	`associate-r` `div-inv` `associate-/l*`
5×	`flip3-+` `associate-*r/` `prod-exp` `cbrt-unprod` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-/l/`
1×	`frac-2neg` `associate-l` `associate-l/` `clear-num` `-commutative`

Counts

4 → 113

Calls

4 calls:

7.0ms	(sqrt (+ (/ 1 z) 1.0))
6.0ms	(sqrt (+ (/ 1 z) 1.0))
19.0ms	(* (* 2.0 (/ (sqrt (+ (/ 1 z) 1.0)) t)) (sqrt (+ (/ 1 z) 1.0)))
10.0ms	(/ (sqrt (+ (/ 1 z) 1.0)) t)

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ (/ 1 z) 1.0))
3.0ms	(sqrt (+ (/ 1 z) 1.0))
5.0ms	(* (* 2.0 (/ (sqrt (+ (/ 1 z) 1.0)) t)) (sqrt (+ (/ 1 z) 1.0)))
11.0ms	(/ (sqrt (+ (/ 1 z) 1.0)) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	1597
1	4959	1597

prune183.0ms

Filtered

78 candidates to 125 candidates (-60.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0b

Counts

129 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- 1.0 t))
7.6b	(/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t)
9.7b	(/ (/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

6.0ms	(* z (- 1.0 t))
5.0ms	(/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t)
8.0ms	(/ (/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t) z)

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* z (- 1.0 t))
11.0ms	(/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t)
9.0ms	(/ (/ (+ 2.0 (* 2.0 (* z (- 1.0 t)))) t) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5189	2320

prune177.0ms

Filtered

103 candidates to 132 candidates (-28.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes471.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 9.0b

bsearch41.0ms

Steps

Iters	Range		Point
10	233183386253167.8	6.219542171639773e+24	30765957833168924.0
7	-4139.165446603657	-36.391717258981856	-341.0561137693704

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	49
1	59	49

end0.0ms

sample762.0ms

Algorithm

intervals

Results

395.0ms	8000×	body	80	valid
108.0ms	2245×	body	80	invalid

Details

analyze1.3s

sample28.0ms

simplify51.0ms

prune16.0ms

localize10.0ms

rewrite13.0ms

series5.0ms

simplify50.0ms

prune79.0ms

localize11.0ms

rewrite15.0ms

series15.0ms

simplify34.0ms

prune70.0ms

localize14.0ms

rewrite45.0ms

series22.0ms

simplify68.0ms

prune183.0ms

localize11.0ms

rewrite24.0ms

series25.0ms

simplify50.0ms

prune177.0ms

regimes471.0ms

bsearch41.0ms

simplify2.0ms

end0.0ms

sample762.0ms

Profiling