Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 10.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.8b	(/ (* y (- z t)) (- a t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
70×	`times-frac`
37×	`add-cube-cbrt`
35×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-l`
14×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 133

Calls

2 calls:

6.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) (- a t))

series112.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* y (- z t))
71.0ms	(/ (* y (- z t)) (- a t))

simplify63.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	498	987
1	2096	950
2	5001	950

prune208.0ms

Filtered

139 candidates to 89 candidates (36.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	4	140

Merged error: 0.0b

Counts

140 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* y (/ (- z t) (- a t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`associate-l` `clear-num` `un-div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 119

Calls

2 calls:

8.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	386	694
1	1585	653
2	5001	653

prune193.0ms

Filtered

125 candidates to 81 candidates (35.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.9b	(* y (* (- z t) (/ 1 (- a t))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
76×	`associate-r`
60×	`associate-*r/`
51×	`times-frac`
47×	`add-cube-cbrt`
44×	`frac-times`
35×	`associate-/r*`
31×	`add-exp-log`
27×	`flip3--` `flip--`
23×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-l` `prod-exp` `unswap-sqr`
11×	`pow1`
9×	`clear-num`
7×	`frac-2neg` `cbrt-unprod`
6×	`div-exp` `associate-/r/` `un-div-inv`
4×	`pow-prod-down` `associate-*l/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 220

Calls

3 calls:

6.0ms	(/ 1 (- a t))
19.0ms	(* (- z t) (/ 1 (- a t)))
28.0ms	(* y (* (- z t) (/ 1 (- a t))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1 (- a t))
51.0ms	(* (- z t) (/ 1 (- a t)))
73.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify91.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	611	1325
1	3270	1180
2	5002	1090

prune339.0ms

Filtered

229 candidates to 136 candidates (40.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	229	5	234

Merged error: 0b

Counts

234 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.7b	(* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))))
2.2b	(/ (* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (- a t)))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

3549×	`add-sqr-sqrt`
3480×	`times-frac`
3121×	`*-un-lft-identity`
2556×	`cbrt-prod`
2286×	`associate-r`
1267×	`add-cube-cbrt`
874×	`distribute-lft-out--`
768×	`difference-of-squares`
540×	`swap-sqr`
446×	`associate-l`
348×	`unswap-sqr`
219×	`associate-/l*`
126×	`cbrt-div`
110×	`associate-*r/`
82×	`associate-/r/`
78×	`associate-/r*`
72×	`*-commutative`
65×	`flip3--` `flip--`
64×	`add-cbrt-cube`
52×	`associate-/l/`
40×	`frac-times`
30×	`cbrt-unprod`
29×	`cbrt-undiv`
27×	`add-exp-log`
20×	`associate-*l/`
11×	`div-inv`
8×	`div-exp` `prod-exp`
6×	`pow1` `un-div-inv`
5×	`clear-num`
4×	`add-log-exp`
3×	`frac-2neg`
2×	`pow1/3`
1×	`pow-prod-down`

Counts

4 → 2227

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
67.0ms	(* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))))
130.0ms	(/ (* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (- a t)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (- a t))
160.0ms	(cbrt (- a t))
177.0ms	(* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))))
79.0ms	(/ (* y (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (- a t)))

simplify452.0ms

Algorithm

egg-herbie

Counts

2239 → 2239

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	45291

prune4.8s

Filtered

2239 candidates to 1189 candidates (46.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	2239	0	2239
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	2239	5	2244

Merged error: 0b

Counts

2244 → 5

regimes122.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample532.0ms

Algorithm

intervals

Results

266.0ms	8696×	body	80	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5