Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify56.0ms

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: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.3b	(* y (/ (- z t) (- z a)))

rewrite76.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
21.0ms	(/ (- z t) (- z a))
44.0ms	(* y (/ (- z t) (- z a)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ x (* y (/ (- z t) (- z a))))
39.0ms	(/ (- z t) (- z a))
57.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)))
2.3b	(* y (* (- z t) (/ 1 (- z a))))

rewrite123.0ms

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:

8.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
13.0ms	(/ 1 (- z a))
44.0ms	(* (- z t) (/ 1 (- z a)))
53.0ms	(* y (* (- z t) (/ 1 (- z a))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
31.0ms	(/ 1 (- z a))
40.0ms	(* (- z t) (/ 1 (- z a)))
55.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify59.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (49.0ms)

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

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.9b	(cbrt (/ (- z t) (- z a)))
3.9b	(cbrt (/ (- z t) (- z a)))
3.9b	(cbrt (/ (- z t) (- z a)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

79.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
112.0ms	(cbrt (/ (- z t) (- z a)))
116.0ms	(cbrt (/ (- z t) (- z a)))
114.0ms	(cbrt (/ (- z t) (- z a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	301	1464
1	651	1394
2	1651	1384
3	5001	1364

prune424.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.2b	(pow (/ (- z t) (- z a)) 3)
2.3b	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
16.2b	(cbrt (pow (/ (- z t) (- z a)) 3))

rewrite188.0ms

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:

24.0ms	(/ (- z t) (- z a))
21.0ms	(pow (/ (- z t) (- z a)) 3)
104.0ms	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
21.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

series292.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- z t) (- z a))
152.0ms	(pow (/ (- z t) (- z a)) 3)
61.0ms	(* y (cbrt (pow (/ (- z t) (- z a)) 3)))
38.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	721	2293
1	3237	2165
2	5001	2138

prune496.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes200.0ms

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	17	5
1	19	5
2	19	5

end0.0ms

sample596.0ms

Algorithm

intervals

Results

245.0ms

8663×

body

valid