Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

314×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

prune2.0ms

Filtered

1 candidates to 0 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: 4.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.4b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ t (- 1.0 z))
33.0ms	(- (/ y z) (/ t (- 1.0 z)))
49.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5001	593

prune203.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	11	99

Merged error: 1.2b

Counts

99 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b	(/ t (- 1.0 z))
3.1b	(* x (- (/ t (- 1.0 z))))
6.0b	(* x (/ y z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
59×	`associate-r`
55×	`times-frac`
42×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-l` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*r/` `div-inv`
3×	`flip3--` `prod-exp` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 147

Calls

4 calls:

5.0ms	(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
5.0ms	(/ t (- 1.0 z))
14.0ms	(* x (- (/ t (- 1.0 z))))
7.0ms	(* x (/ y z))

series179.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
34.0ms	(/ t (- 1.0 z))
59.0ms	(* x (- (/ t (- 1.0 z))))
20.0ms	(* x (/ y z))

simplify85.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	674	871
1	3174	809
2	5001	808

prune336.0ms

Filtered

159 candidates to 118 candidates (74.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	152	7	159
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	159	11	170

Merged error: 0.0b

Counts

170 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
3.1b	(* x (- (/ t (- 1.0 z))))
6.0b	(* (* x y) (/ 1 z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
59×	`associate-r`
54×	`times-frac`
41×	`add-cube-cbrt`
30×	`add-exp-log`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-/r/` `add-log-exp`
5×	`associate-r/` `div-exp` `associate-/r`
4×	`associate-l` `pow-prod-down` `div-inv`
3×	`cbrt-undiv` `flip3--` `distribute-rgt-neg-out` `flip--` `distribute-neg-frac` `associate-/l*`
2×	`rec-exp` `1-exp` `frac-add` `un-div-inv` `*-commutative`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `clear-num` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
10.0ms	(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
14.0ms	(* x (- (/ t (- 1.0 z))))
8.0ms	(* (* x y) (/ 1 z))

series178.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ t (- 1.0 z))
62.0ms	(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
60.0ms	(* x (- (/ t (- 1.0 z))))
19.0ms	(* (* x y) (/ 1 z))

simplify95.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	762	943
1	3851	858
2	5002	841

prune311.0ms

Filtered

165 candidates to 115 candidates (69.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	165	11	176

Merged error: 0.0b

Counts

176 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ y z)) (/ (* x (- t)) (- 1.0 z)))
3.6b	(/ (* x (- t)) (- 1.0 z))
6.0b	(* x (/ y z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `distribute-frac-neg` `div-exp` `associate-l` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`associate-*r/` `associate-/r/` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `unsub-neg` `pow-prod-down` `frac-add` `clear-num` `sum-log` `-commutative` `flip--` `flip-+` `associate-/l`

Counts

3 → 74

Calls

3 calls:

12.0ms	(+ (* x (/ y z)) (/ (* x (- t)) (- 1.0 z)))
7.0ms	(/ (* x (- t)) (- 1.0 z))
6.0ms	(* x (/ y z))

series140.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* x (/ y z)) (/ (* x (- t)) (- 1.0 z)))
59.0ms	(/ (* x (- t)) (- 1.0 z))
19.0ms	(* x (/ y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	474	493
1	2311	446
2	5002	446

prune150.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

regimes267.0ms

Accuracy

39.6% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 5.2b

bsearch98.0ms

Steps

Iters	Range		Point
9	7.838637956542302e-43	5.941558350128041e-34	2.847307331661813e-34
8	-1.7707012248253853e-72	-3.1462430285746666e-77	-3.038548864977418e-73

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	27
1	48	27
2	49	27
3	49	27

end0.0ms

sample576.0ms

Algorithm

intervals

Results

319.0ms

10059×

body

valid