Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify52.0ms

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

prune3.0ms

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: 13.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
13.5b	(/ (* y (- z t)) (- a t))

rewrite25.0ms

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:

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

series180.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
78.0ms	(+ x (/ (* y (- z t)) (- a t)))
67.0ms	(/ (* y (- z t)) (- a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

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

prune165.0ms

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

localize9.0ms

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)))

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))
15.0ms	(* y (/ (- z t) (- a t)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- a t))))
48.0ms	(/ (- z t) (- a t))
68.0ms	(* y (/ (- z t) (- a t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune270.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 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))
2.3b	(/ 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:

26.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ x (/ y (/ (- a t) (- z t))))
50.0ms	(/ (- a t) (- z t))
143.0ms	(/ y (/ (- a t) (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune490.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	216	4	220

Merged error: 0b

Counts

220 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
0.3b	(* (- a t) (/ 1 (- z t)))
2.3b	(/ y (* (- a t) (/ 1 (- z t))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 134

Calls

4 calls:

6.0ms	(/ 1 (- z t))
6.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
14.0ms	(* (- a t) (/ 1 (- z t)))
12.0ms	(/ y (* (- a t) (/ 1 (- z t))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- z t))
115.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
47.0ms	(* (- a t) (/ 1 (- z t)))
146.0ms	(/ y (* (- a t) (/ 1 (- z t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	470	830
1	2078	716
2	5001	669

prune278.0ms

Filtered

146 candidates to 89 candidates (61.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Merged error: 0b

Counts

150 → 4

regimes203.0ms

Accuracy

-4.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch62.0ms

Steps

Iters	Range		Point
5	6.367439988554813e-146	1.3888855347777436e-145	7.297986869556397e-146
8	-3.834556611893393e-124	-7.520920273945714e-128	-3.3050585222382704e-124

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample521.0ms

Algorithm

intervals

Results

272.0ms	8699×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	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