Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify63.0ms

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: 1.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

11.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- z t) (- z a))
67.0ms	(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune243.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))

series584.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (- z t))
146.0ms	(cbrt (- z a))
151.0ms	(cbrt (- z a))
146.0ms	(cbrt (- z a))

simplify170.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (164.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	375
4	5001	367

prune302.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.3b	(* y (* (- z t) (/ 1 (- z a))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 1 (- z a))
23.0ms	(* (- z t) (/ 1 (- z a)))
25.0ms	(* y (* (- z t) (/ 1 (- z a))))

series143.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z a))
44.0ms	(* (- z t) (/ 1 (- z a)))
65.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify48.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	385	673
1	1779	564
2	5001	522

prune252.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
1.3b	(* y (* (- z t) (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a))))))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-exp-log`
99×	`prod-exp`
35×	`add-cbrt-cube`
30×	`div-exp`
23×	`cbrt-unprod`
21×	`associate-*r/`
15×	`cbrt-prod` `rec-exp` `1-exp`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
11×	`frac-times`
8×	`add-cube-cbrt` `flip3--` `flip--`
7×	`cbrt-undiv`
6×	`cbrt-div` `pow-prod-down`
5×	`associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `un-div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative`

Counts

4 → 112

Calls

4 calls:

2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z a))
504.0ms	(* y (* (- z t) (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a))))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))
65.0ms	(* y (* (- z t) (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a))))))

simplify77.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	810	1341
1	2731	920
2	5002	873

prune308.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample544.0ms

Algorithm

intervals

Results

269.0ms	8736×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid