Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify764.0ms

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: 4.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
4.9b	(/ (* y (- z t)) a)

rewrite25.0ms

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:

10.0ms	(* y (- z t))
4.0ms	(+ x (/ (* y (- z t)) a))
9.0ms	(/ (* y (- z t)) a)

series130.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
49.0ms	(+ x (/ (* y (- z t)) a))
46.0ms	(/ (* y (- z t)) a)

simplify423.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	116	722
1	303	679
2	1136	589
done	5001	589

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(* (cbrt a) (cbrt a))
5.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

0.0ms	(cbrt a)
1.0ms	(cbrt a)
6.0ms	(* (cbrt a) (cbrt a))
36.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt a)
181.0ms	(cbrt a)
195.0ms	(* (cbrt a) (cbrt a))
92.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.0s

Counts

145 → 145

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	193	1841
1	549	1730
2	2943	1330
done	5000	1324

prune383.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.4b	(/ y (/ a (- z t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

28.0ms	(+ x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (/ y (/ a (- z t))))
27.0ms	(/ a (- z t))
55.0ms	(/ y (/ a (- z t)))

simplify671.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	245	2291
1	554	2136
2	2331	2056
done	5001	2056

prune397.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y a))))
8.1b	(* (- z t) (/ y a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

3.0ms	(+ x (* 1 (* (- z t) (/ y a))))
15.0ms	(* (- z t) (/ y a))

series88.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* 1 (* (- z t) (/ y a))))
43.0ms	(* (- z t) (/ y a))

simplify519.0ms

Counts

56 → 56

Iterations

Useful iterations: done (517.0ms)

Iter	Nodes	Cost
0	122	714
1	321	636
2	1264	590
done	5000	578

prune133.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes324.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.3b

bsearch63.0ms

Steps

Iters	Range		Point
8	3.713066983026811e+65	6.642013340869958e+68	3.7574005919343346e+65
6	-2.6747694130275977e+104	-4.940402320025422e+103	-1.3995028580527438e+104

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	26	35
done	26	35

end0.0ms

sample615.0ms

Algorithm

intervals

Results

300.0ms

10663×

body

valid