Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

278×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (0.0%)

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: 14.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
14.6b	(/ (* y (- z t)) (- a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- a t)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series177.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (/ (* y (- z t)) (- a t)))
34.0ms	(* y (- z t))
66.0ms	(/ (* y (- z t)) (- a t))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune158.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

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)))

rewrite30.0ms

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))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- a t))))
51.0ms	(/ (- z t) (- a t))
66.0ms	(* y (/ (- z t) (- a t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune236.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

6.0ms	(/ 1 (- a t))
3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
14.0ms	(* (- z t) (/ 1 (- a t)))
17.0ms	(* y (* (- z t) (/ 1 (- a t))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (- a t))
80.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
45.0ms	(* (- z t) (/ 1 (- a t)))
67.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify62.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	453	786
1	2003	677
2	5001	632

prune239.0ms

Filtered

142 candidates to 86 candidates (60.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	6	148

Merged error: 0.0b

Counts

148 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.7b	(/ y (/ (- a t) (- z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
17.0ms	(/ y (/ (- a t) (- z t)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ x (/ y (/ (- a t) (- z t))))
51.0ms	(/ (- a t) (- z t))
150.0ms	(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune427.0ms

Filtered

215 candidates to 145 candidates (67.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	215	6	221

Merged error: 0b

Counts

221 → 6

regimes189.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample573.0ms

Algorithm

intervals

Results

311.0ms	8701×	body	80	valid
0.0ms	1×	body	1280	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

Details

sample25.0ms

simplify47.0ms

prune2.0ms

localize8.0ms

rewrite24.0ms

series177.0ms

simplify41.0ms

prune158.0ms

localize8.0ms

rewrite30.0ms

series189.0ms

simplify52.0ms

prune236.0ms

localize9.0ms

rewrite45.0ms

series226.0ms

simplify62.0ms

prune239.0ms

localize8.0ms

rewrite64.0ms

series312.0ms

simplify77.0ms

prune427.0ms

regimes189.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

Profiling

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