Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

286×

body

valid

simplify58.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
10.7b	(/ (* y (- z t)) (- a t))

rewrite31.0ms

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:

10.0ms	(+ x (/ (* y (- z t)) (- a t)))
10.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series186.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ (* y (- z t)) (- a t)))
35.0ms	(* y (- z t))
72.0ms	(/ (* y (- z t)) (- a t))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

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

prune181.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
2.0b	(* y (/ (- z t) (- a t)))

rewrite43.0ms

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:

11.0ms	(/ (- z t) (- a t))
2.0ms	(+ x (* y (/ (- z t) (- a t))))
25.0ms	(* y (/ (- z t) (- a t)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) (- a t))
79.0ms	(+ x (* y (/ (- z t) (- a t))))
68.0ms	(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.0b	(/ y (/ (- a t) (- z t)))

rewrite84.0ms

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:

47.0ms	(+ x (/ y (/ (- a t) (- z t))))
11.0ms	(/ (- a t) (- z t))
15.0ms	(/ y (/ (- a t) (- z t)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (/ y (/ (- a t) (- z t))))
53.0ms	(/ (- a t) (- z t))
154.0ms	(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

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

prune516.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.0b	(* y (* (- z t) (/ 1 (- a t))))

rewrite66.0ms

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:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
6.0ms	(/ 1 (- a t))
24.0ms	(* (- z t) (/ 1 (- a t)))
29.0ms	(* y (* (- z t) (/ 1 (- a t))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
35.0ms	(/ 1 (- a t))
55.0ms	(* (- z t) (/ 1 (- a t)))
70.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify60.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	453	788
1	2003	679
2	5001	634

prune292.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

66.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch77.0ms

Steps

Iters	Range		Point
8	6.284385024126243e-88	2.901425453076359e-84	6.913431025651619e-85
7	-5.364328614082357e-33	-1.6597245834427233e-34	-2.0789510073681344e-33

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	12
1	36	12
2	37	12
3	37	12

end0.0ms

sample540.0ms

Algorithm

intervals

Results

274.0ms	8747×	body	80	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