Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

345×

body

valid

simplify776.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	78	9
5	116	9
6	134	9
7	150	9
8	194	9
9	265	9
10	351	9
11	465	9
12	546	9
13	563	9
done	563	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
5.9b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

11.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z t))
49.0ms	(/ (* y (- z t)) a)

simplify407.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	94	493
1	237	473
2	958	399
done	5000	399

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b	(/ (- z t) (/ a y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `add-log-exp`

Counts

1 → 101

Calls

1 calls:

12.0ms

(/ (- z t) (/ a y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (- z t) (/ a y))

simplify584.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	195	1660
1	535	1545
2	1929	1483
done	5000	1483

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
3.5b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
38.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt a)
174.0ms	(cbrt a)
173.0ms	(cbrt a)
92.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify771.0ms

Counts

116 → 116

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	161	1577
1	487	1509
2	2361	1153
done	5000	1147

prune341.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (- z t))
3.6b	(/ y (/ a (- z t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

9.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ a (- z t))
53.0ms	(/ y (/ a (- z t)))

simplify650.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	223	2062
1	488	1930
2	2153	1854
done	5000	1854

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch76.0ms

Steps

Iters	Range		Point
8	2.667056467527902e-151	5.525767292787017e-148	6.939075397429748e-149
8	-1.510181967450494e-136	-7.7838102355166905e-140	-1.8095903151115152e-138

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	23	37
1	30	35
2	32	35
done	32	35

end0.0ms

sample628.0ms

Algorithm

intervals

Results

303.0ms

10779×

body

valid