Details

sample675.0ms

Algorithm

intervals

Results

444.0ms	3732×	body	80	nan
89.0ms	181×	body	640	valid
15.0ms	41×	body	320	valid
4.0ms	15×	body	160	valid
3.0ms	5×	body	1280	valid
2.0ms	14×	body	80	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	19
1	156	19
2	907	19
3	5001	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ t 1.0)) (sqrt t))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `sqrt-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

22.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
21.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
23.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
22.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series289.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
73.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
71.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	472	702
1	1521	635
2	5001	620

prune400.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
44×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
16×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 107

Calls

4 calls:

29.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
22.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
24.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
21.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
71.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
74.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	634	1073
1	2368	978
2	5001	942

prune543.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
52×	`sqrt-prod`
45×	`distribute-lft-out`
43×	`add-sqr-sqrt`
42×	`times-frac`
27×	`add-cube-cbrt`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

29.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
24.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
24.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
22.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series447.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
146.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
75.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
79.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify78.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	728	1298
1	2758	1179
2	5001	1136

prune648.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t)))) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t))))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

1084×	`*-un-lft-identity`
862×	`sqrt-prod`
756×	`times-frac`
440×	`distribute-lft-out`
297×	`add-sqr-sqrt`
281×	`add-cube-cbrt`
45×	`associate-/l*`
24×	`associate-/r/`
22×	`sqrt-div`
15×	`associate-/r*`
12×	`flip3-+` `flip-+` `div-inv`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp` `difference-of-squares`
6×	`distribute-lft-out--`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--`
1×	`associate-/l/`

Counts

4 → 525

Calls

4 calls:

79.0ms	(/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t)))) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t))))
23.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
23.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
21.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series450.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t)))) (sqrt (+ (sqrt (+ t 1.0)) (sqrt t))))
150.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
76.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
83.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify207.0ms

Algorithm

egg-herbie

Counts

537 → 537

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1293	10780
1	4915	9023
2	5001	9023

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

regimes531.0ms

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	31
1	53	31
2	53	31

end0.0ms

sample1.2s

Algorithm

intervals

Results

784.0ms	6741×	body	80	nan
150.0ms	310×	body	640	valid
29.0ms	81×	body	320	valid
6.0ms	8×	body	1280	valid
5.0ms	23×	body	160	valid
3.0ms	29×	body	80	valid