Details

sample57.0ms

Algorithm

intervals

Results

25.0ms

334×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	89	9
5	148	9
6	189	9
7	258	9
8	407	9
9	761	9
10	2328	9
done	5001	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
6.8b	(/ (* y (- z t)) a)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

37.0ms	(* y (- z t))
17.0ms	(+ x (/ (* y (- z t)) a))
37.0ms	(/ (* y (- z t)) a)

series244.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* y (- z t))
93.0ms	(+ x (/ (* y (- z t)) a))
84.0ms	(/ (* y (- z t)) a)

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	116	722
1	316	679
2	1189	613
done	5001	589

prune464.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
6.9b	(* (* y (- z t)) (/ 1 a))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

43.0ms	(* y (- z t))
14.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
81.0ms	(* (* y (- z t)) (/ 1 a))

series241.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* y (- z t))
97.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
86.0ms	(* (* y (- z t)) (/ 1 a))

simplify4.1s

Counts

88 → 88

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	154	1062
1	446	948
2	2548	775
done	5002	741

prune450.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.5b	(/ 1 (/ a (* y (- z t))))
6.9b	(/ a (* y (- z t)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `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` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

32.0ms	(* y (- z t))
42.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
42.0ms	(/ 1 (/ a (* y (- z t))))
18.0ms	(/ a (* y (- z t)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* y (- z t))
83.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
85.0ms	(/ 1 (/ a (* y (- z t))))
60.0ms	(/ a (* y (- z t)))

simplify1.4s

Counts

138 → 138

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	198	1749
1	494	1558
2	2202	1430
done	5001	1430

prune759.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a y) (- z t))))
0.5b	(/ 1 (/ (/ a y) (- z t)))
5.7b	(/ (/ a y) (- z t))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

160.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
75.0ms	(/ 1 (/ (/ a y) (- z t)))
31.0ms	(/ (/ a y) (- z t))

series269.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
110.0ms	(/ 1 (/ (/ a y) (- z t)))
72.0ms	(/ (/ a y) (- z t))

simplify1.8s

Counts

434 → 434

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	578	8555
1	1669	7415
done	5001	7093

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.5s

Accuracy

75.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch149.0ms

Steps

Iters	Range		Point
5	6.0854440971538584e+41	1.5960440770984533e+42	7.791031335150103e+41
9	-3.416513690090485e+47	-8.83935831322112e+41	-2.1598157602590286e+43

simplify7.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	39
1	29	27
done	29	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

802.0ms

10613×

body

valid