Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune8.0ms

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.2b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

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) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune132.0ms

Filtered

122 candidates to 83 candidates (32.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite13.0ms

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:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series104.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- a t))
28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	244	444
1	537	424
2	1500	384
3	5001	349

prune96.0ms

Filtered

72 candidates to 56 candidates (22.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.2b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
12.0ms	(/ 1 (/ (- a t) (- z t)))
29.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
9.0ms	(/ (- a t) (- z t))
21.0ms	(/ 1 (/ (- a t) (- z t)))
24.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify102.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	950	2836
1	4759	2547
2	5001	2261

prune309.0ms

Filtered

350 candidates to 184 candidates (47.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	352	4	356

Merged error: 0b

Counts

356 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* (/ y (- a t)) (- z t)))
7.7b	(* (/ y (- a t)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- a t))
3.0ms	(+ x (* (/ y (- a t)) (- z t)))
11.0ms	(* (/ y (- a t)) (- z t))

series65.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- a t))
34.0ms	(+ x (* (/ y (- a t)) (- z t)))
24.0ms	(* (/ y (- a t)) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	408	616
1	1631	576
2	5002	576

prune84.0ms

Filtered

111 candidates to 80 candidates (27.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Merged error: 0b

Counts

115 → 4

regimes313.0ms

Accuracy

0% (1.4b 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	16	6
1	16	6

end0.0ms

sample770.0ms

Algorithm

intervals

Results

308.0ms	8731×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

sample29.0ms

simplify44.0ms

prune8.0ms

localize8.0ms

rewrite28.0ms

series53.0ms

simplify45.0ms

prune132.0ms

localize18.0ms

rewrite13.0ms

series104.0ms

simplify45.0ms

prune96.0ms

localize9.0ms

rewrite76.0ms

series85.0ms

simplify102.0ms

prune309.0ms

localize7.0ms

rewrite24.0ms

series65.0ms

simplify43.0ms

prune84.0ms

regimes313.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample770.0ms

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5