Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
12.2b	(/ (* y (- z t)) (- z a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

19.0ms	(+ x (/ (* y (- z t)) (- z a)))
20.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- z a))

series160.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (/ (* y (- z t)) (- z a)))
31.0ms	(* y (- z t))
60.0ms	(/ (* y (- z t)) (- z a))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune164.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
6.2b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))
110.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (- z a))
137.0ms	(cbrt (- z a))
130.0ms	(cbrt (- z a))
100.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify85.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	646	1592
1	3093	1439
2	5001	1374

prune460.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.0b	(/ y (/ (- z a) (- z t)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

54.0ms	(+ x (/ y (/ (- z a) (- z t))))
20.0ms	(/ (- z a) (- z t))
26.0ms	(/ y (/ (- z a) (- z t)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ y (/ (- z a) (- z t))))
44.0ms	(/ (- z a) (- z t))
104.0ms	(/ y (/ (- z a) (- z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune472.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.1b	(/ (/ (- z a) (- z t)) y)

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

119.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
23.0ms	(/ (- z a) (- z t))
43.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
31.0ms	(/ (/ (- z a) (- z t)) y)

series359.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
38.0ms	(/ (- z a) (- z t))
181.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
68.0ms	(/ (/ (- z a) (- z t)) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1829	7506
1	5002	6288

prune983.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample607.0ms

Algorithm

intervals

Results

247.0ms

8663×

body

valid