Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

275×

body

valid

simplify50.0ms

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: 8.4b

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))
9.1b	(/ (* y (- z t)) (- a t))

rewrite23.0ms

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- a t)))
39.0ms	(* y (- z t))
67.0ms	(/ (* y (- z t)) (- a t))

simplify48.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

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

prune150.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0b

Counts

77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.2b	(/ y (/ (- a t) (- z t)))

rewrite60.0ms

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:

30.0ms	(+ x (/ y (/ (- a t) (- z t))))
7.0ms	(/ (- a t) (- z t))
11.0ms	(/ y (/ (- a t) (- z t)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ x (/ y (/ (- a t) (- z t))))
46.0ms	(/ (- a t) (- z t))
155.0ms	(/ y (/ (- a t) (- z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (59.0ms)

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

prune419.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* 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)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (* y (/ (- z t) (- a t))))
47.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune216.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
0.0b	(* y (- z t))
0.5b	(/ 1 (/ (- a t) (* y (- z t))))
9.1b	(/ (- a t) (* y (- z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
45×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

13.0ms	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
6.0ms	(* y (- z t))
11.0ms	(/ 1 (/ (- a t) (* y (- z t))))
9.0ms	(/ (- a t) (* y (- z t)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
34.0ms	(* y (- z t))
167.0ms	(/ 1 (/ (- a t) (* y (- z t))))
64.0ms	(/ (- a t) (* y (- z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	531	1034
1	2522	864
2	5001	856

prune415.0ms

Filtered

153 candidates to 84 candidates (54.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	153	5	158

Merged error: 0b

Counts

158 → 5

regimes198.0ms

Accuracy

79.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	23
1	27	23

end0.0ms

sample548.0ms

Algorithm

intervals

Results

298.0ms

8708×

body

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

sample21.0ms

simplify50.0ms

prune2.0ms

localize8.0ms

rewrite23.0ms

series178.0ms

simplify48.0ms

prune150.0ms

localize8.0ms

rewrite60.0ms

series320.0ms

simplify80.0ms

prune419.0ms

localize8.0ms

rewrite28.0ms

series193.0ms

simplify48.0ms

prune216.0ms

localize9.0ms

rewrite43.0ms

series434.0ms

simplify64.0ms

prune415.0ms

regimes198.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample548.0ms

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