Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b	(- (* (* z 2.0) z) (* y t))
19.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

28×	`prod-diff`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3--` `flip--`
4×	`fma-neg` `div-inv`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u`
2×	`sub-neg` `diff-log`
1×	`frac-2neg` `clear-num` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 89

Calls

3 calls:

29.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms	(- (* (* z 2.0) z) (* y t))
18.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms	(- (* (* z 2.0) z) (* y t))
200.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	506	1970
1	2392	1402
2	5002	1401

prune231.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b	(- (* 2.0 (pow z 2)) (* t y))
4.3b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `associate-/r/` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 104

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
18.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
37.0ms	(- (* 2.0 (pow z 2)) (* t y))
187.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
51.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	435	1047
1	2138	914
2	5001	909

prune325.0ms

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b	(- (* (* z 2.0) z) (* y t))
4.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
71×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
55×	`prod-diff`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

31.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series359.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
51.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify124.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	836	3783
1	3745	2919
2	5001	2916

prune436.0ms

Filtered

181 candidates to 121 candidates (66.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.6b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.1b	(/ (* t y) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
25×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/r*`
5×	`flip3--` `flip--` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

17.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
3.0ms	(/ (* t y) z)

series258.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
170.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	507	1752
1	2223	1227
2	5001	1226

prune224.0ms

Filtered

103 candidates to 66 candidates (64.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

regimes94.0ms

Accuracy

-13.1% (2.1b remaining)

Error of 2.6b against oracle of 0.5b and baseline of 2.4b

bsearch132.0ms

Steps

Iters	Range		Point
10	1.6480282302546184e+245	1.7935496845449555e+258	1.7509518152818834e+246
10	8.734071036478518e+160	1.6074914794613563e+177	6.4129800116043025e+168

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample502.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid