Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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: 18.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

18.1b

(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5303	373

prune53.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sqrt (+ (* x x) 1.0)))
0.0b	(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
18.0b	(sqrt (+ (* x x) 1.0))
18.0b	(sqrt (+ (* x x) 1.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`add-exp-log`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`sqrt-div`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 158

Calls

4 calls:

7.0ms	(/ x (sqrt (+ (* x x) 1.0)))
28.0ms	(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
4.0ms	(sqrt (+ (* x x) 1.0))
4.0ms	(sqrt (+ (* x x) 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ x (sqrt (+ (* x x) 1.0)))
5.0ms	(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
4.0ms	(sqrt (+ (* x x) 1.0))
4.0ms	(sqrt (+ (* x x) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4943	2300
1	4943	2300

prune227.0ms

Filtered

112 candidates to 170 candidates (-51.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	170	2	172

Merged error: 0b

Counts

172 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (pow x 5))
0.3b	(/ 1.0 (pow x 3))
19.6b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
57×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`associate-/r*`
13×	`add-exp-log`
12×	`cube-prod`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/l*`
4×	`cube-mult` `unpow3` `distribute-lft-out`
3×	`pow1` `frac-add` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `pow-exp` `clear-num` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `diff-log` `frac-sub` `flip--` `flip-+`

Counts

3 → 132

Calls

3 calls:

4.0ms	(/ 1.0 (pow x 5))
5.0ms	(/ 1.0 (pow x 3))
55.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series13.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1.0 (pow x 5))
4.0ms	(/ 1.0 (pow x 3))
5.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify49.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5188	1523

prune188.0ms

Filtered

86 candidates to 141 candidates (-64.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	141	2	143

Merged error: 0b

Counts

143 → 2

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.4b

bsearch24.0ms

Steps

Iters	Range		Point
10	0.01683730658649282	12785707414306.22	475.29682370685475
8	-12322.514085840688	-0.2101619750885166	-523.8341154073099

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	41
1	47	41

end0.0ms

sample296.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid

Details

sample11.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series5.0ms

simplify58.0ms

prune53.0ms

localize8.0ms

rewrite49.0ms

series20.0ms

simplify64.0ms

prune227.0ms

localize10.0ms

rewrite72.0ms

series13.0ms

simplify49.0ms

prune188.0ms

regimes34.0ms

bsearch24.0ms

simplify2.0ms

end0.0ms

sample296.0ms

Profiling