Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

369×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
7.0b	(/ (* y (- z x)) t)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

12.0ms	(+ x (/ (* y (- z x)) t))
21.0ms	(* y (- z x))
17.0ms	(/ (* y (- z x)) t)

series130.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (/ (* y (- z x)) t))
36.0ms	(* y (- z x))
52.0ms	(/ (* y (- z x)) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune133.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ t (- z x))))
0.0b	(/ t (- z x))
6.6b	(/ y (/ t (- z x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

41.0ms	(+ x (/ y (/ t (- z x))))
11.0ms	(/ t (- z x))
17.0ms	(/ y (/ t (- z x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ y (/ t (- z x))))
35.0ms	(/ t (- z x))
57.0ms	(/ y (/ t (- z x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	539	1150
1	2368	1110
2	5001	1107

prune364.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b	(/ 1 (- z x))
6.5b	(/ (/ y t) (/ 1 (- z x)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
387×	`*-un-lft-identity`
385×	`add-sqr-sqrt`
293×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 384

Calls

3 calls:

98.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
15.0ms	(/ 1 (- z x))
28.0ms	(/ (/ y t) (/ 1 (- z x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
39.0ms	(/ 1 (- z x))
55.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1704	4274
1	5001	3895

prune739.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt (/ (/ y t) (/ 1 (- z x))))
6.5b	(/ (/ y t) (/ 1 (- z x)))
6.5b	(/ (/ y t) (/ 1 (- z x)))
6.5b	(/ (/ y t) (/ 1 (- z x)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

2700×	`times-frac`
1439×	`add-sqr-sqrt` `*-un-lft-identity`
1109×	`add-cube-cbrt`
278×	`cbrt-prod`
165×	`distribute-lft-out--` `difference-of-squares`
146×	`div-inv`
114×	`associate-/r/`
70×	`add-exp-log`
63×	`associate-/r*`
55×	`flip3--` `flip--`
48×	`div-exp`
40×	`add-cbrt-cube`
39×	`associate-/l*`
24×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`cbrt-div` `pow1/3`

Counts

4 → 1280

Calls

4 calls:

24.0ms	(cbrt (/ (/ y t) (/ 1 (- z x))))
28.0ms	(/ (/ y t) (/ 1 (- z x)))
31.0ms	(/ (/ y t) (/ 1 (- z x)))
27.0ms	(/ (/ y t) (/ 1 (- z x)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (/ (/ y t) (/ 1 (- z x))))
61.0ms	(/ (/ y t) (/ 1 (- z x)))
57.0ms	(/ (/ y t) (/ 1 (- z x)))
66.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify184.0ms

Algorithm

egg-herbie

Counts

1292 → 1292

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	2113	16450
1	5001	15242

prune3.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

18.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch39.0ms

Steps

Iters	Range		Point
8	-4.595080940101684e-37	-1.65664987743462e-41	-2.310708342905894e-39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample615.0ms

Algorithm

intervals

Results

262.0ms

10686×

body

valid