Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

303×

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: 4.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.6b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite55.0ms

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:

6.0ms	(/ t (- 1.0 z))
19.0ms	(- (/ y z) (/ t (- 1.0 z)))
27.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ t (- 1.0 z))
37.0ms	(- (/ y z) (/ t (- 1.0 z)))
47.0ms	(* 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

prune213.0ms

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: 0.9b

Counts

99 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b	(/ t (- 1.0 z))
4.2b	(* x (- (/ t (- 1.0 z))))
7.9b	(* 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))

series188.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
39.0ms	(/ t (- 1.0 z))
57.0ms	(* x (- (/ t (- 1.0 z))))
24.0ms	(* x (/ y z))

simplify84.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	675	871
1	3175	809
2	5002	808

prune347.0ms

Filtered

159 candidates to 119 candidates (74.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	151	8	159
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	159	11	170

Merged error: 0.0b

Counts

170 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* x (- (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
7.9b	(* x (/ y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`associate-r`
25×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r/`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`flip3--` `times-frac` `flip--`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l*`
4×	`associate-*l/` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`pow1/3` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `neg-mul-1` `div-exp` `distribute-rgt-neg-out` `distribute-neg-frac`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
11.0ms	(* x (- (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
7.0ms	(* x (/ y z))

series600.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
180.0ms	(cbrt t)
218.0ms	(* x (- (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
19.0ms	(* x (/ y z))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	603	905
1	2658	787
2	5001	775

prune382.0ms

Filtered

113 candidates to 89 candidates (78.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	113	11	124

Merged error: 0.0b

Counts

124 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
4.6b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 125

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 z))
6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
11.0ms	(* t (/ 1 (- 1.0 z)))
9.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series145.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- 1.0 z))
33.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms	(* t (/ 1 (- 1.0 z)))
51.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	495	827
1	2159	731
2	5001	689

prune197.0ms

Filtered

137 candidates to 85 candidates (62.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	137	11	148

Merged error: 0.0b

Counts

148 → 11

regimes270.0ms

Accuracy

62.4% (1.6b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 4.5b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	42
1	68	42
2	73	42
3	74	42
4	74	42

end0.0ms

sample599.0ms

Algorithm

intervals

Results

350.0ms

9985×

body

valid