Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

283×

body

valid

simplify524.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	34	11
3	54	11
4	86	11
5	116	11
6	144	11
7	161	11
8	187	11
9	221	11
10	287	11
11	376	11
12	422	11
13	500	11
14	522	11
done	522	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.4b	(* y (/ (- z t) (- z a)))

rewrite39.0ms

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:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
10.0ms	(/ (- z t) (- z a))
22.0ms	(* y (/ (- z t) (- z a)))

series353.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* y (/ (- z t) (- z a))))
43.0ms	(/ (- z t) (- z a))
236.0ms	(* y (/ (- z t) (- z a)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	424	1454
2	1121	1368
3	3612	1368
done	5001	1366

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* 1 (* (- z t) (/ y (- z a)))))
11.1b	(* (- z t) (/ y (- z a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* 1 (* (- z t) (/ y (- z a)))))
23.0ms	(* (- z t) (/ y (- z a)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ y (- z a))
70.0ms	(+ x (* 1 (* (- z t) (/ y (- z a)))))
57.0ms	(* (- z t) (/ y (- z a)))

simplify839.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	158	1260
1	383	1149
2	1346	1071
done	5000	1071

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.1b	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
13×	`associate-r`
12×	`cbrt-div`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
8×	`flip3--` `associate-/r/` `flip--`
6×	`pow1` `frac-times`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`pow1/3` `associate-*r/`
2×	`times-frac` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
42.0ms	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
182.0ms	(cbrt y)
176.0ms	(cbrt y)
242.0ms	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

simplify702.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	188	1444
1	508	1372
2	1978	1068
done	5000	1068

prune342.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z t) y)
0.0b	(/ 1 (- z a))
0.0b	(+ x (* 1 (* (* (- z t) y) (/ 1 (- z a)))))
11.0b	(* (* (- z t) y) (/ 1 (- z a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

15.0ms	(* (- z t) y)
9.0ms	(/ 1 (- z a))
5.0ms	(+ x (* 1 (* (* (- z t) y) (/ 1 (- z a)))))
49.0ms	(* (* (- z t) y) (/ 1 (- z a)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- z t) y)
38.0ms	(/ 1 (- z a))
68.0ms	(+ x (* 1 (* (* (- z t) y) (/ 1 (- z a)))))
59.0ms	(* (* (- z t) y) (/ 1 (- z a)))

simplify1.1s

Counts

137 → 137

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	185	1660
1	498	1332
2	1645	1184
done	5001	1184

prune260.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	31
1	24	29
done	24	29

end0.0ms

sample534.0ms

Algorithm

intervals

Results

270.0ms	8765×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid