Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
10.0ms	(/ (- z t) (- z a))
28.0ms	(* y (/ (- z t) (- z a)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- z a))))
43.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
5.0ms	(/ 1 (- z a))
24.0ms	(* (- z t) (/ 1 (- z a)))
28.0ms	(* y (* (- z t) (/ 1 (- z a))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
39.0ms	(/ 1 (- z a))
42.0ms	(* (- z t) (/ 1 (- z a)))
68.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify62.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	457	788
1	2015	679
2	5001	634

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.3b	(pow (/ (- z t) (- z a)) 3)
1.6b	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
17.3b	(cbrt (pow (/ (- z t) (- z a)) 3))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
177×	`times-frac`
142×	`cbrt-prod`
95×	`unpow-prod-down` `cube-prod`
87×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
71×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3--` `flip--`
7×	`pow1` `div-inv` `unswap-sqr`
5×	`associate-/r` `associate-/l`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 305

Calls

4 calls:

10.0ms	(/ (- z t) (- z a))
12.0ms	(pow (/ (- z t) (- z a)) 3)
73.0ms	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
17.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

series323.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- z t) (- z a))
164.0ms	(pow (/ (- z t) (- z a)) 3)
65.0ms	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
51.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

simplify93.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	721	2300
1	3237	2170
2	5001	2138

prune594.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ (cbrt (- z t)) (cbrt (- z a))) 3)
0.6b	(cbrt (- z a))
3.8b	(cbrt (pow (/ (cbrt (- z t)) (cbrt (- z a))) 3))
13.2b	(cbrt (* (/ (- z t) (- z a)) (/ (- z t) (- z a))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

472×	`cbrt-prod`
269×	`add-sqr-sqrt` `*-un-lft-identity`
256×	`times-frac`
140×	`unpow-prod-down` `cube-prod`
139×	`add-cube-cbrt`
65×	`distribute-lft-out--` `difference-of-squares`
14×	`cbrt-div`
8×	`associate-/r/`
7×	`add-exp-log`
5×	`pow1` `flip3--` `add-cbrt-cube` `flip--`
4×	`div-inv` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`cube-div` `cube-mult` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `frac-times` `pow-to-exp` `pow-pow` `associate-r/` `div-exp` `associate-l/` `rem-cbrt-cube`

Counts

4 → 343

Calls

4 calls:

20.0ms	(pow (/ (cbrt (- z t)) (cbrt (- z a))) 3)
2.0ms	(cbrt (- z a))
27.0ms	(cbrt (pow (/ (cbrt (- z t)) (cbrt (- z a))) 3))
13.0ms	(cbrt (* (/ (- z t) (- z a)) (/ (- z t) (- z a))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow (/ (cbrt (- z t)) (cbrt (- z a))) 3)
155.0ms	(cbrt (- z a))
130.0ms	(cbrt (pow (/ (cbrt (- z t)) (cbrt (- z a))) 3))
156.0ms	(cbrt (* (/ (- z t) (- z a)) (/ (- z t) (- z a))))

simplify115.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1016	4204
1	3813	3667
2	5002	3609

prune580.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample525.0ms

Algorithm

intervals

Results

271.0ms	8755×	body	80	valid
0.0ms	1×	body	1280	valid